Details

Time bar (total: 1.2min)

analyze3.0ms (0%)

Algorithm
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
33.3%25%50%0%0%25%0%3
60%37.5%25%0%0%37.5%0%4
77.8%43.7%12.5%0%0%43.7%0%5
88.2%46.9%6.2%0%0%46.9%0%6
93.9%48.4%3.1%0%0%48.4%0%7
96.9%49.2%1.6%0%0%49.2%0%8
98.4%49.6%0.8%0%0%49.6%0%9
99.2%49.8%0.4%0%0%49.8%0%10
99.6%49.9%0.2%0%0%49.9%0%11
99.8%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (1.6%)

Results
479.0ms4998×body256valid
416.0ms1999×body1024valid
157.0ms1028×body512valid
114.0ms231×body2048valid
0.0msbody256invalid
Bogosity

preprocess20.0ms (0%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
29.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
2.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.4s (4.7%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
1.3s
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.2s
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
410.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))
342.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
177.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 256301 to 203815 computations (20.5% saved)

rewrite47.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
794×pow1_binary64
742×log1p-expm1-u_binary64
742×expm1-log1p-u_binary64
741×add-log-exp_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2211117
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify49.0ms (0.1%)

Algorithm
egg-herbie
Rules
871×fma-neg_binary64
758×times-frac_binary64
653×fma-def_binary64
394×div-sub_binary64
168×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154967
1366879
21296779
35152763
Stop Event
node limit
Counts
63 → 98
Calls
Call 1
Inputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 x (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 1 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval25.0ms (0%)

Compiler

Compiled 1322 to 856 computations (35.2% saved)

prune16.0ms (0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh000
Picked011
Done000
Total93699
Error
0.1b
Counts
99 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
30.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
30.5b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
29.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.7b
1
Compiler

Compiled 63 to 48 computations (23.8% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 15 computations (31.8% saved)

series515.0ms (0.7%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
176.0ms
x
@0
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
171.0ms
x
@-inf
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
168.0ms
x
@inf
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Compiler

Compiled 47885 to 38667 computations (19.3% saved)

rewrite49.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
931×pow1_binary64
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
869×add-log-exp_binary64
852×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117710
2237810
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))))

simplify67.0ms (0.1%)

Algorithm
egg-herbie
Rules
593×fma-def_binary64
386×unsub-neg_binary64
299×distribute-rgt-in_binary64
286×sub-neg_binary64
262×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125816
1337764
21240749
35731689
Stop Event
node limit
Counts
50 → 68
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(*.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))
(*.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))
(pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
Outputs
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (sqrt.f64 (fma.f64 1/2 x 1))) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (pow.f64 (*.f64 1/2 x) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (-.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series5.3s (7.3%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
1.5s
x
@inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.3s
x
@-inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
588.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
584.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
381.0ms
x
@0
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Compiler

Compiled 411184 to 321578 computations (21.8% saved)

rewrite54.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
906×pow1_binary64
845×add-log-exp_binary64
845×log1p-expm1-u_binary64
845×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
117731
2244931
Stop Event
node limit
Counts
3 → 83
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify57.0ms (0.1%)

Algorithm
egg-herbie
Rules
643×unswap-sqr_binary64
632×fma-neg_binary64
606×fma-def_binary64
280×associate-/r*_binary64
240×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921582
14651376
215271178
375801178
Stop Event
node limit
Counts
89 → 125
Calls
Call 1
Inputs
1
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x)))))
0.0b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
13.6b
(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
14.4b
(sqrt.f64 (+.f64 x (*.f64 x x)))
Compiler

Compiled 82 to 40 computations (51.2% saved)

series2.6s (3.6%)

Counts
4 → 30
Calls

12 calls:

TimeVariablePointExpression
947.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
618.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
466.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
330.0ms
x
@0
(sqrt.f64 (+.f64 x (*.f64 x x)))
235.0ms
x
@0
(+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x)))))
Compiler

Compiled 273218 to 238539 computations (12.7% saved)

rewrite118.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
701×fma-neg_binary64
290×expm1-udef_binary64
289×log1p-udef_binary64
181×hypot-def_binary64
181×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01473
134564
2557264
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (hypot.f64 x (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (*.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
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(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) x)))))

simplify102.0ms (0.1%)

Algorithm
egg-herbie
Rules
453×fma-neg_binary64
290×div-sub_binary64
268×exp-prod_binary64
243×fma-def_binary64
222×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05475217
113765126
252495096
Stop Event
node limit
Counts
221 → 343
Calls
Call 1
Inputs
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)) x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/2)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x)))) 1/2)
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) (pow.f64 x 3/2))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))))
(+.f64 (*.f64 3/128 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 5) (-.f64 (*.f64 1/128 (pow.f64 (/.f64 1 x) -3/2)) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/24 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))))))) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))))))
1
(*.f64 3 x)
(+.f64 (*.f64 3 x) 3/2)
(-.f64 (+.f64 (*.f64 3 x) 3/2) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 3/2 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)))) (*.f64 1/8 (/.f64 1 x)))
x
(+.f64 1/2 x)
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) x))
(+.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 1/8 (/.f64 1 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (hypot.f64 x (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (*.f64 x (-.f64 1 x))))
(pow.f64 (fma.f64 x x x) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(hypot.f64 (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))
(+.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))
(+.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2)))
(+.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2)))
(+.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2)))
(+.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1)
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x x) 3/2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4)) (-.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x x) 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x x) 3/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2))))
(pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) (exp.f64 (pow.f64 x 3/2))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (expm1.f64 (pow.f64 x 3/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (expm1.f64 (pow.f64 x 3/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) (exp.f64 (neg.f64 (pow.f64 x 3/2)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (exp.f64 (pow.f64 x 3/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 1 (exp.f64 (pow.f64 x 3/2)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x 3/2))) (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x 3/2))) (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x 3/2))) (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x 3/2))) (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1))
(fma.f64 1 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (pow.f64 (+.f64 x 1) 3/2) 1 (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (neg.f64 (pow.f64 x 3/2)))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (neg.f64 (pow.f64 x 3/2)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (+.f64 x 1))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(exp.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x)) 1))
(fma.f64 1 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) x)
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(+.f64 x (-.f64 1/2 (/.f64 1/8 x)))
(+.f64 1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)) x)) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) x) (/.f64 1/8 x)))
(+.f64 (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) x) (-.f64 1/2 (/.f64 1/8 x)))
(+.f64 1/2 (+.f64 (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) x) (/.f64 -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/2)
(fma.f64 -1 x -1/2)
(fma.f64 x -1 -1/2)
(-.f64 -1/2 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1 x (/.f64 1/8 x)) -1/2)
(+.f64 (-.f64 (/.f64 1/8 x) x) -1/2)
(+.f64 (/.f64 1/8 x) (-.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x)))) 1/2)
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) (fma.f64 -1 x (/.f64 1/8 x))) -1/2)
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) (-.f64 (/.f64 1/8 x) x)) -1/2)
(+.f64 (-.f64 (/.f64 1/8 x) x) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) -1/2))
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (*.f64 x 3/2) (pow.f64 x 3/2)))
(-.f64 (fma.f64 x 3/2 1) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)) (pow.f64 x 3/2)))
(+.f64 (fma.f64 x 3/2 (*.f64 x (*.f64 x 3/8))) (-.f64 1 (pow.f64 x 3/2)))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(-.f64 (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))) (pow.f64 x 3/2))
(-.f64 (fma.f64 -1/16 (pow.f64 x 3) (+.f64 (fma.f64 x 3/2 1) (*.f64 x (*.f64 x 3/8)))) (pow.f64 x 3/2))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))
(fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))
(fma.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x) (*.f64 (pow.f64 (/.f64 1 x) 2) (*.f64 3/8 (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x) (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))))
(+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))))
(fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))))
(fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (fma.f64 (/.f64 -1/16 (pow.f64 x 3)) (pow.f64 (/.f64 1 x) -3/2) (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)))
(fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)) (fma.f64 (/.f64 -1/16 (pow.f64 x 3)) (pow.f64 (/.f64 1 x) -3/2) (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)))
(+.f64 (*.f64 3/128 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))))
(fma.f64 3/128 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))))
(fma.f64 3/128 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (fma.f64 (/.f64 -1/16 (pow.f64 x 3)) (pow.f64 (/.f64 1 x) -3/2) (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x))))
(fma.f64 3/128 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)) (fma.f64 (/.f64 -1/16 (pow.f64 x 3)) (pow.f64 (/.f64 1 x) -3/2) (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)))
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2)))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 (/.f64 1 x) 2)) -1/8))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8)))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 4))) (*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 4))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 x) 5) (-.f64 (*.f64 1/128 (pow.f64 (/.f64 1 x) -3/2)) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/24 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))))))) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))))))
(fma.f64 (pow.f64 (/.f64 1 x) 5) (-.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/128) (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 1/96 (pow.f64 (/.f64 1 x) -3/2) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) -1/24)))) (fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) 4) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8))))))
(fma.f64 (pow.f64 (/.f64 1 x) 5) (-.f64 (-.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/128) (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/32)) (fma.f64 (pow.f64 (/.f64 1 x) -3/2) 1/96 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/192))) (fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 4))) (*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2)))))
(fma.f64 (pow.f64 (/.f64 1 x) 5) (-.f64 (-.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/128) (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/32)) (fma.f64 (pow.f64 (/.f64 1 x) -3/2) 1/96 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/192))) (fma.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) -1/8) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 4))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))))))
1
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 3/2)
(fma.f64 3 x 3/2)
(fma.f64 x 3 3/2)
(-.f64 (+.f64 (*.f64 3 x) 3/2) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 3 x 3/2) (/.f64 1/8 x))
(+.f64 (fma.f64 x 3 3/2) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 3/2 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 3 x 3/2) (*.f64 1/16 (pow.f64 (/.f64 1 x) 2))) (/.f64 1/8 x))
(+.f64 (fma.f64 x 3 (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) 3/2)) (/.f64 -1/8 x))
(+.f64 (fma.f64 x 3 3/2) (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) (/.f64 -1/8 x)))
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) x))
(+.f64 1/2 (+.f64 x (/.f64 1/8 x)))
(+.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 1/8 (/.f64 1 x)) x)))
(+.f64 1/2 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) (+.f64 x (/.f64 1/8 x))))
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) (/.f64 1/8 x)) (+.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (hypot.f64 x (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (*.f64 x (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 x (*.f64 x x))))
(pow.f64 (fma.f64 x x x) 1/2)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(hypot.f64 x (sqrt.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
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(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (+.f64 x 1))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) 3))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(exp.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x)))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x)) 1))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 1 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(fma.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)) x)
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))) x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)) 2)) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) x)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
2.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series8.3s (11.4%)

Counts
1 → 1
Calls

3 calls:

TimeVariablePointExpression
3.9s
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
3.8s
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
490.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
Compiler

Compiled 591107 to 456963 computations (22.7% saved)

rewrite52.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
923×pow1_binary64
862×add-log-exp_binary64
862×log1p-expm1-u_binary64
862×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
121711
2252011
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))

simplify50.0ms (0.1%)

Algorithm
egg-herbie
Rules
747×fma-neg_binary64
425×times-frac_binary64
408×div-sub_binary64
376×fma-def_binary64
290×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110818
1280732
2885669
33486669
Stop Event
node limit
Counts
40 → 61
Calls
Call 1
Inputs
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
Outputs
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/4))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 x) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (neg.f64 (pow.f64 (sqrt.f64 x) 3))) (+.f64 x (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 1 (+.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) (+.f64 1 x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

eval287.0ms (0.4%)

Compiler

Compiled 16477 to 10751 computations (34.8% saved)

prune128.0ms (0.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New68312695
Fresh011
Picked101
Done134
Total68516701
Error
0.0b
Counts
701 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 (/.f64 1 x) 2)) -1/8))
0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
46.1b
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
15.6b
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
11.9b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) (sqrt.f64 x)))
0.3b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
29.7b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
0.4b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
30.5b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
29.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.5b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
15.6b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
46.0b
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2))
30.6b
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
30.7b
1
Compiler

Compiled 421 to 335 computations (20.4% saved)

localize23.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
0.2b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
0.3b
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
Compiler

Compiled 44 to 33 computations (25% saved)

series8.7s (12.1%)

Counts
3 → 10
Calls

9 calls:

TimeVariablePointExpression
3.5s
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
2.3s
x
@inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
1.0s
x
@-inf
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
672.0ms
x
@inf
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
658.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
Compiler

Compiled 750790 to 652973 computations (13% saved)

rewrite64.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
443×log-prod_binary64
433×fma-def_binary64
303×pow-prod-down_binary64
271×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
125031
2310231
Stop Event
node limit
Counts
3 → 136
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 3/8) (pow.f64 (+.f64 1 x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 5/6) (pow.f64 (+.f64 1 x) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 x) x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 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(sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 3/8) (pow.f64 (+.f64 1 x) 1/8) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 5/6) (pow.f64 (+.f64 1 x) 1/12) (sqrt.f64 x))))))

simplify59.0ms (0.1%)

Algorithm
egg-herbie
Rules
639×fma-def_binary64
507×unswap-sqr_binary64
477×distribute-rgt-in_binary64
445×distribute-lft-in_binary64
204×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03302242
17752082
223352043
Stop Event
node limit
Counts
146 → 182
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))
(+.f64 (*.f64 (+.f64 (*.f64 -3/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 1/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))) (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -3/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 1/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))) (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 7/64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 -3/64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)))) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))))
1
1
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8))
(*.f64 (pow.f64 (+.f64 1 x) 3/8) (pow.f64 (+.f64 1 x) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 5/6) (pow.f64 (+.f64 1 x) 1/12))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/4))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 x) x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 x) x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 3/8) (pow.f64 (+.f64 1 x) 1/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 5/6) (pow.f64 (+.f64 1 x) 1/12) (sqrt.f64 x))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)
(pow.f64 (/.f64 1 x) -1/2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (pow.f64 (/.f64 1 x) -1/2))
(+.f64 (*.f64 (+.f64 (*.f64 -3/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 1/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))) (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) -1/8) (pow.f64 (/.f64 1 x) 2) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)))
(fma.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) -1/2)) (pow.f64 (/.f64 1 x) 2) (fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (pow.f64 (/.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 -1/8 (/.f64 (/.f64 1 x) x)) (fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (pow.f64 (/.f64 1 x) -1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 -3/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 1/16 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))) (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2) x)) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 7/64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)) (*.f64 -3/64 (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2)))) (pow.f64 (pow.f64 (/.f64 1 x) -1/4) 2))))
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1
1
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(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 1 x) x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) -1/6))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 2))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 3/8) (pow.f64 (+.f64 1 x) 1/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 5/6) (pow.f64 (+.f64 1 x) 1/12) (sqrt.f64 x))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 14 computations (39.1% saved)

series1.2s (1.7%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
349.0ms
x
@0
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
210.0ms
x
@inf
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
181.0ms
x
@-inf
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
179.0ms
x
@0
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
164.0ms
x
@inf
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
Compiler

Compiled 109847 to 88083 computations (19.8% saved)

rewrite52.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
926×pow1_binary64
865×add-log-exp_binary64
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117621
2235821
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)))))

simplify45.0ms (0.1%)

Algorithm
egg-herbie
Rules
444×fma-neg_binary64
352×unswap-sqr_binary64
347×times-frac_binary64
337×distribute-rgt-in_binary64
293×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731328
14591230
217721182
Stop Event
node limit
Counts
76 → 98
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))
(*.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(*.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(-.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(*.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(*.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (neg.f64 (pow.f64 x 1/2)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 1/2 x))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (sqrt.f64 x) (neg.f64 x))) (+.f64 (fma.f64 1/4 (*.f64 x x) x) (*.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 x (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 x 1/4)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(*.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (+.f64 x (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (neg.f64 x)) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) x) (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))

localize17.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 1 x) -1/2)
0.3b
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))
Compiler

Compiled 33 to 26 computations (21.2% saved)

series384.0ms (0.5%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
171.0ms
x
@-inf
(pow.f64 (/.f64 1 x) -1/2)
165.0ms
x
@-inf
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))
30.0ms
x
@0
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))
15.0ms
x
@inf
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))
1.0ms
x
@0
(pow.f64 (/.f64 1 x) -1/2)
Compiler

Compiled 26736 to 23640 computations (11.6% saved)

rewrite42.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
584×pow1_binary64
548×add-log-exp_binary64
546×log1p-expm1-u_binary64
546×expm1-log1p-u_binary64
536×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0714
11517
217667
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x))
(pow.f64 (/.f64 1 x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 x (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1/2) (pow.f64 (pow.f64 x -1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 x)))))))

simplify37.0ms (0.1%)

Algorithm
egg-herbie
Rules
413×times-frac_binary64
344×fma-neg_binary64
301×fma-def_binary64
300×distribute-rgt-in_binary64
290×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102356
1189353
2534299
32752295
Stop Event
node limit
Counts
57 → 53
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(pow.f64 x 1/2)
(pow.f64 x 1/2)
(pow.f64 x 1/2)
(pow.f64 x 1/2)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 x (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 (sqrt.f64 x))))
(/.f64 (pow.f64 x 1/4) (/.f64 x (pow.f64 x 1/4)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) 1) x)
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) -1) (neg.f64 x))
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(sqrt.f64 (/.f64 1 x))
(fabs.f64 (pow.f64 x -1/2))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (sqrt.f64 x)) 1)
(*.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) 1)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 1))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1/2) (pow.f64 (pow.f64 x -1/2) -1/2))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(cbrt.f64 (*.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
Outputs
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (pow.f64 x 1/2) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(/.f64 (pow.f64 (/.f64 1 x) -1/2) x)
(pow.f64 x 1/2)
(sqrt.f64 x)
(pow.f64 x 1/2)
(sqrt.f64 x)
(pow.f64 x 1/2)
(sqrt.f64 x)
(pow.f64 x 1/2)
(sqrt.f64 x)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(pow.f64 x -1/2)
(/.f64 1 (/.f64 x (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (cbrt.f64 x) x))
(/.f64 (pow.f64 x 1/4) (/.f64 x (pow.f64 x 1/4)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (/.f64 (sqrt.f64 x) 1) x)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(/.f64 (*.f64 (sqrt.f64 x) -1) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (/.f64 1 x) 1/2)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(fabs.f64 (pow.f64 x -1/2))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 x) x)
(/.f64 1 (sqrt.f64 x))
(pow.f64 x -1/2)
(-.f64 (+.f64 1 (sqrt.f64 x)) 1)
(sqrt.f64 x)
(*.f64 1 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) 1)
(sqrt.f64 x)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 1))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))
(sqrt.f64 x)
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 1))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 3/2)
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1/2) (pow.f64 (pow.f64 x -1/2) -1/2))
(sqrt.f64 x)
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(cbrt.f64 (*.f64 x (sqrt.f64 x)))
(sqrt.f64 x)
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
0.3b
(pow.f64 (/.f64 1 x) -3/2)
14.4b
(sqrt.f64 (+.f64 x (*.f64 x x)))
18.3b
(/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)
Compiler

Compiled 90 to 47 computations (47.8% saved)

series1.5s (2.1%)

Counts
3 → 17
Calls

9 calls:

TimeVariablePointExpression
613.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
577.0ms
x
@0
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
182.0ms
x
@-inf
(/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)
132.0ms
x
@-inf
(pow.f64 (/.f64 1 x) -3/2)
4.0ms
x
@inf
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
Compiler

Compiled 141039 to 122535 computations (13.1% saved)

rewrite74.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
577×fma-neg_binary64
319×expm1-udef_binary64
318×log1p-udef_binary64
195×add-sqr-sqrt_binary64
186×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01653
138241
2591841
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)
(pow.f64 (/.f64 1 x) -3/2)
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (pow.f64 x 3/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 1 (/.f64 x (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (pow.f64 x 3/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 3/2 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 3/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2))))) (#(struct:change 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (sqrt.f64 x)) (/.f64 (pow.f64 x 3/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 x)) (/.f64 3/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (/.f64 x (pow.f64 x 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 9/4 (pow.f64 x 3)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (pow.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -3/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -3/2) (pow.f64 (pow.f64 x -1/2) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 3/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify84.0ms (0.1%)

Algorithm
egg-herbie
Rules
638×unswap-sqr_binary64
367×fma-def_binary64
271×associate-*r*_binary64
267×associate-*l*_binary64
259×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03062583
18202428
240042309
Stop Event
node limit
Counts
124 → 171
Calls
Call 1
Inputs
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))
(+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2)))))
(+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/72 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 5))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))) 1)
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 3/2 (/.f64 1 (/.f64 x (pow.f64 x 3/2))))
(*.f64 3/2 (*.f64 (pow.f64 x 3/2) (/.f64 1 x)))
(*.f64 1 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 x) (*.f64 3/2 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 3/2) (*.f64 3/2 (/.f64 1 x)))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(*.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (*.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(*.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (*.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 x)))
(*.f64 (*.f64 -3/2 (pow.f64 x 3/2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 3/2 x))
(*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) 1) (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) x))
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 3/2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3/2 (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (cbrt.f64 x)))
(*.f64 (/.f64 3/2 (sqrt.f64 x)) (/.f64 (pow.f64 x 3/2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 x)) (/.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2)
(pow.f64 (*.f64 2/3 (/.f64 x (pow.f64 x 3/2))) -1)
(neg.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (neg.f64 x)))
(sqrt.f64 (*.f64 (*.f64 9/4 (pow.f64 x 3)) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) (/.f64 (pow.f64 x -2) x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(exp.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3/2))) 1)
(*.f64 1 (pow.f64 x 3/2))
(*.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 3/2) 1)
(*.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(*.f64 (pow.f64 x 3/4) (pow.f64 x 3/4))
(*.f64 (pow.f64 1 -3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -3/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) -3/2))
(*.f64 (pow.f64 (pow.f64 x -1/2) -3/2) (pow.f64 (pow.f64 x -1/2) -3/2))
(sqrt.f64 (pow.f64 x 3))
(log.f64 (exp.f64 (pow.f64 x 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 x 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 x 3/2)))
(exp.f64 (log.f64 (pow.f64 x 3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)))) 1)
(*.f64 1 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))))
(*.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(*.f64 (/.f64 -3/2 (/.f64 x (pow.f64 x 3/2))) (/.f64 1 (neg.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))
(*.f64 (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 (pow.f64 x 3/2) x))
(*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) x))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1) (/.f64 (/.f64 1 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) 2)) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) 2)) (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))) (fma.f64 x x (*.f64 (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) x))))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 1 x)))
(pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))) 2)
(pow.f64 (/.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)) (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (neg.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x))) 1))
Outputs
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x))
(/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(pow.f64 x 3/2)
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 (pow.f64 x -2) 1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 -1/4 (pow.f64 x 3))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/4 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2)))))
(fma.f64 -3/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) -7/72) (pow.f64 (/.f64 1 x) 4)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -3/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -7/72 (pow.f64 (/.f64 1 x) 4))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 -1/4 (pow.f64 x 3)))))
(fma.f64 -3/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -7/72 (pow.f64 x -4))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/4 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/72 (pow.f64 (/.f64 1 x) -3/2)) (*.f64 -1/12 (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/72 (pow.f64 (/.f64 1 x) -3/2))) (pow.f64 (/.f64 1 x) 5))))))
(fma.f64 -3/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -3/2) -7/72) (pow.f64 (/.f64 1 x) 4)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 (*.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) -7/72) (*.f64 (pow.f64 (/.f64 1 x) -3/2) 1/72)) (pow.f64 (/.f64 1 x) 5))))))
(fma.f64 -3/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -7/72 (pow.f64 (/.f64 1 x) 4))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 x -2)) (fma.f64 (/.f64 -1/4 (pow.f64 x 3)) (pow.f64 (/.f64 1 x) -3/2) (*.f64 (fma.f64 (pow.f64 (/.f64 1 x) -3/2) 1/72 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 7/144)) (*.f64 (pow.f64 (/.f64 1 x) 5) -3/2)))))
(fma.f64 -3/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 -7/72 (pow.f64 x -4))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 (fma.f64 (pow.f64 (/.f64 1 x) -3/2) 1/72 (*.f64 (pow.f64 (/.f64 1 x) -3/2) 7/144)) (*.f64 (pow.f64 (/.f64 1 x) 5) -3/2) (*.f64 -1/4 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))) 1)
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 1 (/.f64 x (pow.f64 x 3/2))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 3/2 (*.f64 (pow.f64 x 3/2) (/.f64 1 x)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 1 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (/.f64 1 x) (*.f64 3/2 (pow.f64 x 3/2)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (pow.f64 x 3/2) (*.f64 3/2 (/.f64 1 x)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 1)
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (*.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2)))))
(*.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (*.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (/.f64 1 x)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (pow.f64 x -1/2) (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 3/2 (/.f64 (sqrt.f64 x) (pow.f64 x 3/2))))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x 3/2) (/.f64 3/2 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 3/2 (/.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(*.f64 (*.f64 -3/2 (pow.f64 x 3/2)) (/.f64 1 (neg.f64 x)))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 3/2 x))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))
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(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (fma.f64 x (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))) x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1)) 3)))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (fma.f64 x (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))) x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (fma.f64 x (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (+.f64 x x) 1))) (/.f64 3/2 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (*.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) (fma.f64 x (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))) x)))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x))))
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 x (pow.f64 x 3/2))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))) (/.f64 x (pow.f64 x 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (+.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) x))) 1))
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 x (pow.f64 x 3/2))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))) (/.f64 x (pow.f64 x 3/2))))

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 x) 3/2)
0.0b
(-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
10.6b
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
14.4b
(sqrt.f64 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 82 to 53 computations (35.4% saved)

series2.7s (3.8%)

Counts
4 → 29
Calls

12 calls:

TimeVariablePointExpression
1.1s
x
@0
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
508.0ms
x
@0
(sqrt.f64 (*.f64 x (+.f64 1 x)))
370.0ms
x
@0
(-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
361.0ms
x
@-inf
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
349.0ms
x
@-inf
(pow.f64 (+.f64 1 x) 3/2)
Compiler

Compiled 261389 to 224699 computations (14% saved)

rewrite77.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
678×fma-neg_binary64
273×expm1-udef_binary64
273×log1p-udef_binary64
228×log-pow_binary64
224×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01464
134155
2537055
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 1 x)))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(pow.f64 (+.f64 1 x) 3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 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simplify64.0ms (0.1%)

Algorithm
egg-herbie
Rules
228×fma-def_binary64
159×associate-*r*_binary64
148×associate-*l*_binary64
143×+-commutative_binary64
125×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04743831
111953831
247473831
Stop Event
unsound
Counts
198 → 245
Calls
Call 1
Inputs
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)) x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/2)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x)))) 1/2)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(-.f64 (*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (*.f64 1/8 (/.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (/.f64 1 x) -3/2) x))) (*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/8 (/.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
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x
(-.f64 x 1/2)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 x)) x) 1/2)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/8 (/.f64 1 x)) x)) 1/2)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1/2)
(-.f64 (+.f64 (*.f64 3 x) 1/2) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 1/2 (*.f64 1/16 (pow.f64 (/.f64 -1 x) 2)))) (*.f64 1/8 (/.f64 1 x)))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(pow.f64 (/.f64 1 x) -3/2)
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))
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(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
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(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
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(pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)
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(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(hypot.f64 (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)
(-.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
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(*.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
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(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (+.f64 (neg.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
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(exp.f64 (-.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 1))
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(log.f64 (exp.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (exp.f64 2) x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (exp.f64 2) x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(fma.f64 x 2 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 (+.f64 x x) 1 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1 -1)
(fma.f64 0 (/.f64 1 0) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1)))) -1)
(fma.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 2 (*.f64 x (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 4 (*.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 8 (pow.f64 x 3) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 (+.f64 x x) 2) x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 (/.f64 1 x) 2)) x)) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (fma.f64 1/16 (pow.f64 (/.f64 1 x) 2) x) (/.f64 1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/2)
(fma.f64 -1 x -1/2)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1 x (/.f64 1/8 x)) -1/2)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 2)) (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x)))) 1/2)
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 2) (fma.f64 -1 x (/.f64 1/8 x))) -1/2)
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 (*.f64 1/2 x) (pow.f64 (/.f64 1 x) -3/2))
(-.f64 (*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (*.f64 1/8 (/.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (/.f64 1 x) -3/2)) (/.f64 1/8 (pow.f64 (/.f64 1 x) -3/2)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (/.f64 1 x) -3/2) x))) (*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2)))) (*.f64 1/8 (/.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(+.f64 (/.f64 1/16 (*.f64 x (pow.f64 (/.f64 1 x) -3/2))) (-.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (/.f64 1 x) -3/2)) (/.f64 1/8 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (/.f64 1 x) -3/2) x))) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 1/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(+.f64 (/.f64 1/16 (*.f64 x (pow.f64 (/.f64 1 x) -3/2))) (-.f64 (fma.f64 -5/128 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)) (/.f64 (*.f64 1/2 x) (pow.f64 (/.f64 1 x) -3/2))) (/.f64 1/8 (pow.f64 (/.f64 1 x) -3/2))))
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 x)) x) 1/2)
(+.f64 (/.f64 1/8 x) (+.f64 x -1/2))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/8 (/.f64 1 x)) x)) 1/2)
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 2) (+.f64 x (/.f64 1/8 x))) -1/2)
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) 1/2)
(fma.f64 3 x 1/2)
(-.f64 (+.f64 (*.f64 3 x) 1/2) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 3 x 1/2) (/.f64 1/8 x))
(-.f64 (+.f64 (*.f64 3 x) (+.f64 1/2 (*.f64 1/16 (pow.f64 (/.f64 -1 x) 2)))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 3 x 1/2) (*.f64 1/16 (pow.f64 (/.f64 -1 x) 2))) (/.f64 1/8 x))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (*.f64 x 3/2))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2))))
(pow.f64 (/.f64 1 x) -3/2)
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)))
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)) (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (fma.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x) (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2)))))
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x)) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))) (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))))))
(+.f64 (pow.f64 (/.f64 1 x) -3/2) (fma.f64 3/2 (/.f64 (pow.f64 (/.f64 1 x) -3/2) x) (fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))) (*.f64 3/8 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 1 x) -3/2))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(pow.f64 (+.f64 x (*.f64 x x)) 1/2)
(sqrt.f64 (+.f64 x (*.f64 x x)))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)
(hypot.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)
(hypot.f64 x (sqrt.f64 x))
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(hypot.f64 x (sqrt.f64 x))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(hypot.f64 (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) 1/2)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(hypot.f64 x (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(-.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
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(/.f64 (+.f64 (+.f64 x x) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (+.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) 1) (+.f64 x (+.f64 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 x (*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 3)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 2)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (exp.f64 2) x)))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (exp.f64 2) x)))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (exp.f64 x)))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 x)))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x 2 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 x x) 1 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1 -1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 0 (/.f64 1 0) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) -1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) (+.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) -1)))) -1)
(fma.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 1 (+.f64 x x)))) -1)
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 2 (*.f64 x (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 4 (*.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 8 (pow.f64 x 3) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 (+.f64 x x) 2) x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(pow.f64 (+.f64 x 1) 3/2)
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))

eval426.0ms (0.6%)

Compiler

Compiled 17841 to 11303 computations (36.6% saved)

prune230.0ms (0.3%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New8008808
Fresh538
Picked011
Done347
Total80816824
Error
0b
Counts
824 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
41.8b
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
15.6b
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
11.9b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) (sqrt.f64 x)))
29.7b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
26.3b
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
30.5b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
29.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.5b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
15.6b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
30.4b
(*.f64 1/2 (pow.f64 x -1/2))
30.6b
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
30.6b
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
59.2b
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
9.9b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
30.7b
1
Compiler

Compiled 291 to 231 computations (20.6% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.3b
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
9.9b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series30.8s (42.7%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
10.2s
x
@inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
9.3s
x
@-inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
4.5s
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
4.5s
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
1.4s
x
@0
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
Compiler

Compiled 2291718 to 1762054 computations (23.1% saved)

rewrite62.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
433×fma-def_binary64
415×prod-exp_binary64
412×log-prod_binary64
306×exp-prod_binary64
294×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
121628
2277528
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 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x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 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simplify56.0ms (0.1%)

Algorithm
egg-herbie
Rules
515×exp-prod_binary64
457×unswap-sqr_binary64
404×fabs-mul_binary64
396×log-prod_binary64
358×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01961357
14251310
211171310
348571310
Stop Event
node limit
Counts
84 → 95
Calls
Call 1
Inputs
1
1
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/9)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -3/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) -3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(exp.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) 2))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(exp.f64 (+.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2)))
Outputs
1
1
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/18) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/18))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -3/2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) 2/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) -3/2))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 5/6))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9)) 1/3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -3/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)

localize8.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sqrt.f64 x) x)
Compiler

Compiled 15 to 6 computations (60% saved)

series985.0ms (1.4%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
364.0ms
x
@-inf
(/.f64 (sqrt.f64 x) x)
323.0ms
x
@inf
(/.f64 (sqrt.f64 x) x)
298.0ms
x
@0
(/.f64 (sqrt.f64 x) x)
Compiler

Compiled 82432 to 64256 computations (22% saved)

rewrite36.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
411×pow1_binary64
394×add-sqr-sqrt_binary64
385×*-un-lft-identity_binary64
385×add-log-exp_binary64
385×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046
1854
211454
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))))

simplify45.0ms (0.1%)

Algorithm
egg-herbie
Rules
524×fma-neg_binary64
380×associate-*l*_binary64
376×div-sub_binary64
347×associate-*r*_binary64
243×fabs-mul_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088216
1190204
2624187
33843187
46080187
Stop Event
node limit
Counts
36 → 44
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 x -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(*.f64 (sqrt.f64 x) (pow.f64 x -1))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (pow.f64 x -1) 1/2)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 x -1))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
Outputs
(+.f64 0 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(pow.f64 x -1/2)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 x) (pow.f64 x -1))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1) (sqrt.f64 x))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x -1) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (pow.f64 x -1)))
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (neg.f64 x)))
(pow.f64 x -1/2)
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x -1) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (cbrt.f64 x) x))
(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x -1) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (cbrt.f64 x) x))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) x))
(pow.f64 x -1/2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(pow.f64 x -1/2)
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 x)))
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1) 1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(pow.f64 x -1/2)
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)))
(pow.f64 x -1/2)
(sqrt.f64 (pow.f64 x -1))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(cbrt.f64 (/.f64 (pow.f64 x -1/2) x))
(pow.f64 x -1/2)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(pow.f64 x -1/2)

localize17.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.1b
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series148.0ms (0.2%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
146.0ms
x
@-inf
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
1.0ms
x
@inf
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
1.0ms
x
@0
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
Compiler

Compiled 14384 to 13352 computations (7.2% saved)

rewrite46.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
735×pow1_binary64
695×add-log-exp_binary64
694×log1p-expm1-u_binary64
694×expm1-log1p-u_binary64
683×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11624
221654
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)))))

simplify58.0ms (0.1%)

Algorithm
egg-herbie
Rules
730×fma-def_binary64
525×distribute-rgt-in_binary64
465×distribute-lft-in_binary64
397×times-frac_binary64
216×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107473
1273449
21112441
37724441
Stop Event
node limit
Counts
50 → 53
Calls
Call 1
Inputs
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (/.f64 1 x) 1/2)
(+.f64 1 (+.f64 (pow.f64 x -1/2) -1))
(+.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(+.f64 (pow.f64 x -1/2) 0)
(+.f64 (+.f64 1 (pow.f64 x -1/2)) -1)
(+.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (*.f64 x x) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 x -3/2) 1/3)
(pow.f64 (pow.f64 x -1/4) 2)
(sqrt.f64 (pow.f64 x -1))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)
Outputs
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(+.f64 1 (+.f64 (pow.f64 x -1/2) -1))
(pow.f64 x -1/2)
(+.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(pow.f64 x -1/2)
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(+.f64 (+.f64 1 (pow.f64 x -1/2)) -1)
(pow.f64 x -1/2)
(+.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(+.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 -2 (pow.f64 x -1/2)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(pow.f64 x -1/2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 -2 (pow.f64 x -1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 -2 (pow.f64 x -1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 -2 (pow.f64 x -1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))
(pow.f64 x -1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))
(pow.f64 x -1/2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 -1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (-.f64 -2 (pow.f64 x -1/2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))
(pow.f64 x -1/2)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (-.f64 (+.f64 (pow.f64 x -1/2) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (fma.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 2 (pow.f64 x -1/2)))
(/.f64 (-.f64 0 (*.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) -2))) (-.f64 2 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (*.f64 x x) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -3/2) 1/3)
(cbrt.f64 (pow.f64 x -3/2))
(pow.f64 (pow.f64 x -1/4) 2)
(pow.f64 x -1/2)
(sqrt.f64 (pow.f64 x -1))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(pow.f64 x -1/2)
(fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)
(pow.f64 x -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)
(pow.f64 x -1/2)
(fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)
(pow.f64 x -1/2)

localize33.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
0.2b
(*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2))
0.3b
(pow.f64 (/.f64 1 x) -3/2)
18.3b
(/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x)
Compiler

Compiled 61 to 44 computations (27.9% saved)

series635.0ms (0.9%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
478.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
150.0ms
x
@-inf
(*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2))
3.0ms
x
@inf
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
2.0ms
x
@0
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
1.0ms
x
@inf
(*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2))
Compiler

Compiled 64402 to 58197 computations (9.6% saved)

rewrite64.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
759×log-prod_binary64
593×fma-def_binary64
286×log-div_binary64
264×expm1-udef_binary64
263×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
131029
2466527
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2))
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/2 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/4 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 (*.f64 x (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (fma.f64 x 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2) (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/2 (/.f64 x (pow.f64 x 3/2))) (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 x))) (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (+.f64 1 (fma.f64 x 2 x))) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (+.f64 1 (fma.f64 x 2 x))) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (+.f64 1 (fma.f64 x 2 x))) (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1) (/.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 1 (fma.f64 x 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 1 (fma.f64 x 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3))) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2))) (-.f64 x (fma.f64 x 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (fma.f64 x 2 x)) (/.f64 (/.f64 x 3/2) (pow.f64 x 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (neg.f64 (+.f64 1 (fma.f64 x 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 1 (fma.f64 x 2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))) 1))))))

simplify54.0ms (0.1%)

Algorithm
egg-herbie
Rules
974×fma-def_binary64
488×associate-/l/_binary64
447×unswap-sqr_binary64
424×distribute-rgt-in_binary64
417×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02231670
16081597
224621361
Stop Event
node limit
Counts
75 → 122
Calls
Call 1
Inputs
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (*.f64 -9/2 (pow.f64 x 3/2)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 27/2 (*.f64 (pow.f64 x 3/2) x)) (*.f64 -9/2 (pow.f64 x 3/2))))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 27/2 (*.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 -9/2 (pow.f64 x 3/2)) (*.f64 -81/2 (*.f64 (pow.f64 x 3/2) (pow.f64 x 2))))))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2)))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 5))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))))
(+.f64 0 (*.f64 3/2 (pow.f64 x 3/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2)))) 1)
(pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1)
(pow.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) 3)
(pow.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) 2)
(sqrt.f64 (*.f64 9/4 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(exp.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))) 1))
(+.f64 0 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) 1)
(*.f64 1 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 (*.f64 x (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (fma.f64 x 2 x))))
(*.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2) (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (/.f64 -3/2 (/.f64 x (pow.f64 x 3/2))) (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 x))) (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)))
(*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))
(*.f64 (/.f64 (pow.f64 x 3/2) (+.f64 1 (fma.f64 x 2 x))) (/.f64 3/2 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 9/4 (pow.f64 x 3))) (+.f64 1 (fma.f64 x 2 x))) (/.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) (+.f64 1 (fma.f64 x 2 x))) (/.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) x))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1) (/.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 1 (fma.f64 x 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (+.f64 1 (fma.f64 x 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3))) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2))) (-.f64 x (fma.f64 x 2 1)))
(pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2)
(pow.f64 (*.f64 (+.f64 1 (fma.f64 x 2 x)) (/.f64 (/.f64 x 3/2) (pow.f64 x 3/2))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (neg.f64 (+.f64 1 (fma.f64 x 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 1 (fma.f64 x 2 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))) 1))
Outputs
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (pow.f64 x 3/2))
(*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))
(*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (*.f64 -9/2 (pow.f64 x 3/2)))
(fma.f64 3/2 (/.f64 (pow.f64 x 3/2) x) (*.f64 (pow.f64 x 3/2) -9/2))
(*.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/2 x) -9/2))
(*.f64 (pow.f64 x 3/2) (+.f64 -9/2 (/.f64 3/2 x)))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 27/2 (*.f64 (pow.f64 x 3/2) x)) (*.f64 -9/2 (pow.f64 x 3/2))))
(fma.f64 3/2 (/.f64 (pow.f64 x 3/2) x) (fma.f64 27/2 (pow.f64 x 5/2) (*.f64 (pow.f64 x 3/2) -9/2)))
(+.f64 (*.f64 27/2 (pow.f64 x 5/2)) (*.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/2 x) -9/2)))
(*.f64 (pow.f64 x 3/2) (+.f64 (*.f64 x 27/2) (+.f64 -9/2 (/.f64 3/2 x))))
(+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 27/2 (*.f64 (pow.f64 x 3/2) x)) (+.f64 (*.f64 -9/2 (pow.f64 x 3/2)) (*.f64 -81/2 (*.f64 (pow.f64 x 3/2) (pow.f64 x 2))))))
(fma.f64 3/2 (/.f64 (pow.f64 x 3/2) x) (fma.f64 27/2 (pow.f64 x 5/2) (fma.f64 -9/2 (pow.f64 x 3/2) (*.f64 -81/2 (*.f64 (pow.f64 x 3/2) (*.f64 x x))))))
(+.f64 (+.f64 (*.f64 27/2 (pow.f64 x 5/2)) (*.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/2 x) -9/2))) (*.f64 -81/2 (*.f64 x (pow.f64 x 5/2))))
(+.f64 (*.f64 (pow.f64 x 3/2) (+.f64 (*.f64 x 27/2) (+.f64 -9/2 (/.f64 3/2 x)))) (*.f64 -81/2 (pow.f64 x 7/2)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 (/.f64 1 x) x)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/6 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2)))))
(fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3))))))
(fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (*.f64 1/18 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4))) (+.f64 (*.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 5))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) -3/2))))))
(fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 5)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 2)) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 4)) (fma.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (pow.f64 (/.f64 1 x) 5)) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (/.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 1/18 (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (pow.f64 (/.f64 1 x) -3/2) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) 5) -1/54)))))
(+.f64 0 (*.f64 3/2 (pow.f64 x 3/2)))
(*.f64 3/2 (pow.f64 x 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))))
(*.f64 3/2 (pow.f64 x 3/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2)))) 1)
(*.f64 3/2 (pow.f64 x 3/2))
(pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 1)
(*.f64 3/2 (pow.f64 x 3/2))
(pow.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3) 1/3)
(*.f64 3/2 (pow.f64 x 3/2))
(pow.f64 (cbrt.f64 (*.f64 3/2 (pow.f64 x 3/2))) 3)
(*.f64 3/2 (pow.f64 x 3/2))
(pow.f64 (*.f64 (sqrt.f64 3/2) (pow.f64 x 3/4)) 2)
(*.f64 3/2 (pow.f64 x 3/2))
(sqrt.f64 (*.f64 9/4 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 3/2) (pow.f64 x 3/2)))
(*.f64 3/2 (pow.f64 x 3/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2)))))
(*.f64 3/2 (pow.f64 x 3/2))
(cbrt.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 3/2)) 3))
(*.f64 3/2 (pow.f64 x 3/2))
(expm1.f64 (log1p.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(*.f64 3/2 (pow.f64 x 3/2))
(log1p.f64 (expm1.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(*.f64 3/2 (pow.f64 x 3/2))
(exp.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))))
(*.f64 3/2 (pow.f64 x 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (pow.f64 x 3/2))) 1))
(*.f64 3/2 (pow.f64 x 3/2))
(+.f64 0 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x)))))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (pow.f64 x 3/2) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (pow.f64 x 3/2) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 3) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (pow.f64 x 3/2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 3) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))) 1)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(*.f64 1 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (/.f64 1 (*.f64 x (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
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(*.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (fma.f64 x 2 x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
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(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (/.f64 3/2 x) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) (pow.f64 x 3/2))))
(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2))
(/.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) (/.f64 3/2 x))))
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(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2))
(/.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) (/.f64 3/2 x))))
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (/.f64 3/2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2)) (/.f64 (/.f64 3/2 x) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) (pow.f64 x 3/2))))
(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (cbrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 2 x))) 2))
(/.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) 2) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x 3))) (/.f64 3/2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 3/2 x) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))) (pow.f64 x 3/2))))
(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 3/2 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (pow.f64 x 3/2)) x)))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 3/2 x) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))) (pow.f64 x 3/2))))
(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 3/2 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (pow.f64 x 3/2)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (/.f64 (/.f64 3/2 x) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))) (pow.f64 x 3/2))))
(/.f64 (*.f64 (/.f64 (/.f64 3/2 x) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x)))) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 3/2 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x 3))) (pow.f64 x 3/2)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3))) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3))) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (/.f64 3/2 x) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3))) (pow.f64 x 3/2)) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 (fma.f64 x 2 1) (-.f64 (fma.f64 x 2 1) x) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 1) 3)) x))
(*.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2))) (-.f64 x (fma.f64 x 2 1)))
(*.f64 (/.f64 (/.f64 3/2 x) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2)) (pow.f64 x 3/2))) (-.f64 x (fma.f64 x 2 1)))
(*.f64 (/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2)) x)) (-.f64 x (fma.f64 x 2 1)))
(*.f64 (*.f64 (/.f64 3/2 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2)) x)) (pow.f64 x 3/2)) (+.f64 (neg.f64 x) -1))
(pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 1)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3) 1/3)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 3)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))) 2)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(pow.f64 (*.f64 (+.f64 1 (fma.f64 x 2 x)) (/.f64 (/.f64 x 3/2) (pow.f64 x 3/2))) -1)
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(neg.f64 (/.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) (neg.f64 (+.f64 1 (fma.f64 x 2 x)))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 2))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(log.f64 (exp.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x)) 3))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 1 (fma.f64 x 2 x)) 3)))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))) (/.f64 (pow.f64 x 3/2) x))))
(*.f64 (/.f64 (pow.f64 x 3/2) x) (/.f64 3/2 (+.f64 1 (fma.f64 x 2 x))))
(/.f64 (*.f64 3/2 (pow.f64 x 3/2)) (fma.f64 x (*.f64 x 3) x))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))) (log1p.f64 (fma.f64 x 2 x))))
(/.f64 (*.f64 (pow.f64 x 3/2) (/.f64 3/2 x)) (exp.f64 (log1p.f64 (fma.f64 x 2 x))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) (/.f64 x (pow.f64 x 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (/.f64 3/2 x) (pow.f64 x 3/2))) (log1p.f64 (fma.f64 x 2 x))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x))) (log1p.f64 (fma.f64 x 2 x))))
(/.f64 (*.f64 (pow.f64 x 3/2) (/.f64 3/2 x)) (exp.f64 (log1p.f64 (fma.f64 x 2 x))))
(/.f64 3/2 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 3))) (/.f64 x (pow.f64 x 3/2))))

eval181.0ms (0.3%)

Compiler

Compiled 8549 to 6401 computations (25.1% saved)

prune115.0ms (0.2%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New4852487
Fresh066
Picked101
Done099
Total48617503
Error
0b
Counts
503 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
41.8b
(/.f64 (/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (+.f64 x (+.f64 (+.f64 1 x) x)))
15.6b
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
41.7b
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 x (+.f64 (+.f64 1 x) x)))
11.9b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) (sqrt.f64 x)))
29.7b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
26.3b
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
30.5b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
29.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.5b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
15.6b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
30.4b
(*.f64 1/2 (pow.f64 x -1/2))
30.6b
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
30.6b
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
59.2b
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
9.9b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
30.7b
1
Compiler

Compiled 192 to 150 computations (21.9% saved)

regimes47.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 2)) (pow.f64 (/.f64 1 x) -3/2))
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 (/.f64 1 x) 2)) -1/8))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Calls

3 calls:

31.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 375 to 270 computations (28% saved)

regimes27.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 1/2 (pow.f64 x -1/2))
Calls

3 calls:

14.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.3b2x
0.3b2(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.3b2(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 145 to 103 computations (29% saved)

bsearch21.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
14707591.402461676
119484897135.97868
Results
19.0ms128×body256valid
Compiler

Compiled 140 to 113 computations (19.3% saved)

regimes16.0ms (0%)

Counts
13 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3/2) x)) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 3/2 (/.f64 x (pow.f64 (/.f64 1 x) -3/2))) (+.f64 x (+.f64 (+.f64 1 x) x)))
(/.f64 (/.f64 (*.f64 3/2 (pow.f64 (/.f64 1 x) -3/2)) x) (+.f64 x (+.f64 (+.f64 1 x) x)))
Outputs
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 1/2 (pow.f64 x -1/2))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.6b2x
Compiler

Compiled 122 to 87 computations (28.7% saved)

bsearch34.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
0.0029421815227809534
1888.8247890618795
Results
32.0ms144×body256valid
Compiler

Compiled 165 to 135 computations (18.2% saved)

regimes9.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
Outputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (pow.f64 x -1/2))
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch16.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
0.0029421815227809534
1888.8247890618795
Results
13.0ms144×body256valid
Compiler

Compiled 147 to 126 computations (14.3% saved)

regimes8.0ms (0%)

Accuracy

Total -58.0b remaining (-3735.2%)

Threshold costs -58.0b (-3735.2%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
1.6b2x
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch17.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.0029421815227809534
1888.8247890618795
Results
15.0ms144×body256valid
Compiler

Compiled 102 to 90 computations (11.8% saved)

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030100
142100
247100
349100
450100
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 80000000) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 80000000) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 80000000) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 x 1/2) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Compiler

Compiled 74 to 59 computations (20.3% saved)

soundness104.0ms (0.1%)

Algorithm
egg-herbie
Rules
871×fma-neg_binary64
758×times-frac_binary64
653×fma-def_binary64
394×div-sub_binary64
168×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154967
1366879
21296779
35152763
Stop Event
node limit
Compiler

Compiled 338 to 225 computations (33.4% saved)

end47.0ms (0.1%)

Compiler

Compiled 69 to 51 computations (26.1% saved)

Profiling

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