Details

Time bar (total: 8.5s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.8%0.4%49.8%10
49.9%0.2%49.9%11
49.9%0.1%50%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (19.9%)

Results
711.0ms2104×body1024valid
638.0ms4930×body256valid
234.0ms1022×body512valid
81.0ms200×body2048valid
0.0ms3×body256invalid

preprocess36.0ms (0.4%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.2%)

Algorithm
1×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
1×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))

eval1.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
27.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓3.1b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series8.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))
1.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))

rewrite89.0ms (1.1%)

Algorithm
1×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
1×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 exp.f64 (log.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 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 exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))))

simplify89.0ms (1.1%)

Algorithm
1×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
35153763
Stop Event
1×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))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
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))
(exp.f64 (log.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))
(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))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 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))

eval49.0ms (0.6%)

Compiler

Compiled 1322 to 856 computations (35.2% saved)

prune30.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh000
Picked011
Done000
Total91899
Error
0.1b
Counts
99 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.9b
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
▶28.2b
(/.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))))
▶28.2b
(/.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))))
27.9b
(*.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)))
▶0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶28.8b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
29.6b
1
✓27.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 206 to 160 computations (22.3% saved)

localize27.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

series9.0ms (0.1%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.0ms
x
@inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
1.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite73.0ms (0.9%)

Algorithm
1×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
1×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
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((#(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 exp.f64 (log.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 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 exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))))

simplify73.0ms (0.9%)

Algorithm
1×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
375791178
Stop Event
1×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)))))
(exp.f64 (neg.f64 (log.f64 (+.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 (+.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))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
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)))
(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)))
(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)))
(-.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))
(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))
(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))
(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))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×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
1×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) 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(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 exp.f64 (log.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 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)))))))

simplify84.0ms (1%)

Algorithm
1×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
1×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)))))
(exp.f64 (log.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)))))
(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))
(exp.f64 (log.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))
(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))

localize105.0ms (1.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 x 1) x)
0.0b
(pow.f64 (+.f64 x 1) 3/2)
0.0b
(*.f64 (+.f64 x 1) x)
0.0b
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
✓0.0b
(+.f64 (+.f64 x 1) x)
✓0.1b
(/.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))))
✓11.7b
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
✓12.6b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 74 to 52 computations (29.7% saved)

series26.0ms (0.3%)

Counts
4 → 41
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/.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))))
4.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
3.0ms
x
@-inf
(+.f64 (+.f64 x 1) x)
2.0ms
x
@inf
(/.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))))
2.0ms
x
@0
(/.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))))

rewrite106.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
746×log-prod_binary64
498×fma-neg_binary64
264×log1p-udef_binary64
263×expm1-udef_binary64
222×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362
131562
2491356
Stop Event
1×node limit
Counts
4 → 182
Calls
Call 1
Inputs
(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 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 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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 log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((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 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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simplify130.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
802×fma-neg_binary64
313×fma-def_binary64
198×exp-prod_binary64
182×associate-*r*_binary64
182×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06055810
115515193
262305079
Stop Event
1×node limit
Counts
223 → 341
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 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.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 (sqrt.f64 x))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (*.f64 3/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/24 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (+.f64 (*.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2))))
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(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 1)
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.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 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.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))) (/.f64 1 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (/.f64 1 (neg.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.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 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x)))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) 2)
(pow.f64 (/.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (neg.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (pow.f64 (+.f64 x 1) 3/2) (/.f64 1 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (+.f64 x 1) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/4) 1) (/.f64 (pow.f64 (+.f64 x 1) 3/4) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/4) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (pow.f64 (+.f64 x 1) 3/4) (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/4) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (pow.f64 (+.f64 x 1) 3/4) (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x)))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x 1)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 1 x))))
(*.f64 1 (+.f64 x (+.f64 x 1)))
(*.f64 (+.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (-.f64 x (+.f64 x 1)))
(pow.f64 (+.f64 x (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 2)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x 1))))
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x 1))))
(fma.f64 1 x (+.f64 x 1))
(fma.f64 1 (+.f64 x 1) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x))
(+.f64 (+.f64 x 1/2) (/.f64 -1/8 x))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))
(+.f64 (+.f64 (+.f64 x 1/2) (/.f64 -1/8 x)) (/.f64 1/16 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (+.f64 x 1/2) (/.f64 1/8 x))
(+.f64 (+.f64 x 1/2) (/.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))
(+.f64 (+.f64 (+.f64 x 1/2) (/.f64 -1/8 x)) (/.f64 1/16 (*.f64 x x)))
(-.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))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x 1)))) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 1 x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(*.f64 1 (+.f64 x (+.f64 x 1)))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(*.f64 (+.f64 x (+.f64 x 1)) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) 2)))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (pow.f64 (fma.f64 2 x 1) 2)))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 (-.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 (pow.f64 (+.f64 x 1) 2) x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 (-.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 (pow.f64 (+.f64 x 1) 2) x))
(/.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 (-.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 (pow.f64 (+.f64 x 1) 2) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (-.f64 1 x)))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (-.f64 (-.f64 x x) 1)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)) (-.f64 x (pow.f64 (+.f64 x 1) 2)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (+.f64 x 1) 3)) (-.f64 x (pow.f64 (+.f64 x 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 1 x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (-.f64 x (+.f64 x 1)))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(pow.f64 (+.f64 x (+.f64 x 1)) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 3)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 2)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) 1/3)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 x 1) 2))
(fabs.f64 (fma.f64 x 2 1))
(log.f64 (exp.f64 (+.f64 x (+.f64 x 1))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x 1))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(exp.f64 (log1p.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x 1))))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 1 x (+.f64 x 1))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 1 (+.f64 x 1) x)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x 1))
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 2 x 1)
(fma.f64 x 2 1)

localize58.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 x 1) 3/2)
0.0b
(/.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)))
0.0b
(*.f64 (+.f64 x 1) x)
0.0b
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
0.0b
(+.f64 (+.f64 x 1) x)
✓0.1b
(/.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))))
11.7b
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
12.6b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 98 to 70 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 9
Calls

3 calls:

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

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
790×log-prod_binary64
475×fma-neg_binary64
281×log1p-udef_binary64
280×expm1-udef_binary64
242×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01436
134033
2520130
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.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))))
Outputs
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simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
679×fma-def_binary64
618×times-frac_binary64
581×distribute-rgt-in_binary64
543×distribute-lft-in_binary64
258×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02703061
17702494
228772076
Stop Event
1×node limit
Counts
56 → 107
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/24 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (+.f64 (*.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4)))))) (+.f64 (*.f64 3/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2) (pow.f64 x 4))))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (+.f64 (*.f64 -1/8 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2)))) (+.f64 (*.f64 -3/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (+.f64 (*.f64 3/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2)))))) (pow.f64 x 5))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4))))))) (+.f64 (*.f64 3/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2) (pow.f64 x 4))))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4))))))
(+.f64 0 (/.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 (pow.f64 (+.f64 1 x) 3/2) (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (*.f64 (neg.f64 (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (+.f64 1 x) 3/2)) (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (neg.f64 (pow.f64 x 3/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.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))))))) (cbrt.f64 (exp.f64 (/.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))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.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)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 (exp.f64 (log1p.f64 (/.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))))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 3/2) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 1 (/.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.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))))) 1)
(*.f64 (cbrt.f64 (/.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)))))) (pow.f64 (cbrt.f64 (/.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)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.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)))))) 2) (cbrt.f64 (/.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 (sqrt.f64 (/.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)))))) (sqrt.f64 (/.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 1 (/.f64 (neg.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2) 1) (/.f64 (cbrt.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 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1) (/.f64 (sqrt.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 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 x (*.f64 x x)))) (+.f64 x (-.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) 1) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(pow.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.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))))) 1)
(pow.f64 (pow.f64 (/.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))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.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)))))) 3)
(pow.f64 (sqrt.f64 (/.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)))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -2))
(log.f64 (exp.f64 (/.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)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.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))))))))
(cbrt.f64 (pow.f64 (/.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))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) 3)))
(expm1.f64 (log1p.f64 (/.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)))))))
(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) -1))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (/.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)))))))
Outputs
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4)))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (/.f64 (fabs.f64 (pow.f64 x 3/2)) (/.f64 (pow.f64 x 4) -1/8))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 x 4) -1/8)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (*.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/24 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (+.f64 (*.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (fma.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4)))))
(-.f64 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (/.f64 (fabs.f64 (pow.f64 x 3/2)) (/.f64 (pow.f64 x 4) -1/8)))))) (fma.f64 -1/24 (/.f64 (fabs.f64 (pow.f64 x 3/2)) (/.f64 (pow.f64 x 5) -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 1/96 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4 (*.f64 (/.f64 (fabs.f64 (pow.f64 x 3/2)) (/.f64 (pow.f64 x 5) -1/8)) -1/4)))))
(-.f64 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 x 4) -1/8)))))) (fma.f64 -1/24 (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 x 5) -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 1/96 (*.f64 (/.f64 (pow.f64 x 3/2) (/.f64 (pow.f64 x 5) -1/8)) -1/4)))))
(*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2))))
(*.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2) (*.f64 x x))))
(*.f64 1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))
(*.f64 1/2 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x)))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2) (*.f64 x x))) (neg.f64 (/.f64 (+.f64 (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2))) (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -2) 2)))) (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (/.f64 (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -3) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 9) 9/4)) (pow.f64 x 3)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2)) -3) -3/8) (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4)))))) (+.f64 (*.f64 3/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2) (pow.f64 x 4))))) (*.f64 3/2 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2))) (*.f64 -9/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) 2)))) (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 2) (pow.f64 x 4))))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))) (neg.f64 (-.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 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 1 (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 x (*.f64 x x)))) (+.f64 x (-.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x))) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (fma.f64 x x x))) (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) 1) (-.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 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (-.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 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (sqrt.f64 (-.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 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (/.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))))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (pow.f64 (/.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))))) 3) 1/3)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (cbrt.f64 (/.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)))))) 3)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (sqrt.f64 (/.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)))))) 2)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (exp.f64 (/.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.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))))) 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 (+.f64 1 x) (hypot.f64 x (sqrt.f64 x)))) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (/.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (exp.f64 (log1p.f64 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) -1))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) -1)
(/.f64 1 (/.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (exp.f64 (log1p.f64 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (/.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (fma.f64 x 2 (hypot.f64 x (sqrt.f64 x)))))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.1b
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
0.1b
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.1b
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
✓0.1b
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
3.1b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series10.0ms (0.1%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
3.0ms
x
@-inf
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
2.0ms
x
@0
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))

rewrite61.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
122025
2260325
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
Outputs
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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 log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(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 exp.f64 (log.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 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 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.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) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (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 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (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 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.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 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))))))

simplify67.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
585×fma-neg_binary64
489×fma-def_binary64
441×unswap-sqr_binary64
326×exp-prod_binary64
243×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701338
14151252
215971153
361991150
Stop Event
1×node limit
Counts
73 → 101
Calls
Call 1
Inputs
1
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 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 (+.f64 x 1) 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 (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))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))
(*.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 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3))
(*.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))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.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 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(+.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (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))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (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 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (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 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) 3))
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.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 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
Outputs
1
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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.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 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 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 x (+.f64 (+.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 x (+.f64 1 (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 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 (+.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 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))
(-.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 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 x (+.f64 (+.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 x (+.f64 1 (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 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 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3))
(-.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 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 x (+.f64 (+.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 x (+.f64 1 (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 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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 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 x (+.f64 (+.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 x (+.f64 1 (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 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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 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 x (+.f64 (+.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 x (+.f64 1 (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 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 (+.f64 1 x) (*.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 (+.f64 1 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 (+.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 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))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(-.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))
(exp.f64 (log.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))
(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 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(+.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (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))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (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))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 3))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) 3)
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (+.f64 1 x) x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(/.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 3) (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))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 (+.f64 x 1) 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) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(*.f64 (/.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)))))) (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 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (+.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)) 2))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 (+.f64 (+.f64 1 x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(*.f64 (/.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)))))) (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 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (+.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)) 2))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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)) 6))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (sqrt.f64 x)) 3))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (sqrt.f64 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)

eval911.0ms (10.7%)

Compiler

Compiled 31448 to 23172 computations (26.3% saved)

prune223.0ms (2.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1050111061
Fresh202
Picked101
Done235
Total1055141069
Error
0.0b
Counts
1069 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.8b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
▶0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
▶28.8b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
0.7b
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
32.5b
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
✓27.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
13.6b
(/.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)))
▶45.5b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
▶31.4b
(-.f64 1 (pow.f64 x 3/2))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
28.0b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
29.6b
1
▶27.9b
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
27.0b
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
Compiler

Compiled 279 to 223 computations (20.1% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
0.1b
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓0.1b
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
✓0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
Compiler

Compiled 41 to 28 computations (31.7% saved)

series21.0ms (0.2%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
7.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
2.0ms
x
@0
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
2.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
1.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)

rewrite68.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
441×fma-def_binary64
436×log-prod_binary64
321×exp-prod_binary64
301×pow-prod-down_binary64
271×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
124428
2298828
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
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 (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 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(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 (/.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))))) (#(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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) 5) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))))) (#(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 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 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 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))))) (#(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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 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 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))))) (#(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 +.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(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)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))))) (#(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)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 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)))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (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) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 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) 1/2))))) (#(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) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))))

simplify65.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
744×times-frac_binary64
535×exp-prod_binary64
466×log-prod_binary64
299×associate-*l*_binary64
281×fabs-mul_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551018
1310968
2741968
33214966
Stop Event
1×node limit
Counts
63 → 70
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 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) 5) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(/.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))
(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)))))
(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 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/2))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 2))
(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))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)
(*.f64 1 (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) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) (/.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)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6)) 3))
(exp.f64 (*.f64 (*.f64 -1/4 (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) -1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1/2))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
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 (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 (/.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 (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 (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 (/.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 (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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) 5) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(/.f64 1 (+.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 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)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(/.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)))
(exp.f64 (neg.f64 (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 (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 (neg.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 (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)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(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 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(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 (neg.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)))
(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)))
(+.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.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 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 1 (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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1)
(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)) -1/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(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)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/2))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(fabs.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)
(log.f64 (exp.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)
(log.f64 (+.f64 1 (expm1.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)
(cbrt.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)) -1/2)
(expm1.f64 (log1p.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)
(exp.f64 (log.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)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -1))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(exp.f64 (*.f64 (neg.f64 (log.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)
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6)) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/4) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(log1p.f64 (expm1.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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (pow.f64 x 3/2))
✓0.0b
(-.f64 1 (pow.f64 x 3/2))
Compiler

Compiled 12 to 9 computations (25% saved)

series105.0ms (1.2%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
43.0ms
x
@0
(-.f64 1 (pow.f64 x 3/2))
41.0ms
x
@inf
(-.f64 1 (pow.f64 x 3/2))
20.0ms
x
@-inf
(-.f64 1 (pow.f64 x 3/2))

rewrite83.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
587×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
215347
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 x 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 9/2)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x 3/2)) (-.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 9/2))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (neg.f64 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2)))) (-.f64 1 (neg.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x 3/2))))))))

simplify67.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
474×distribute-rgt-in_binary64
433×distribute-lft-in_binary64
429×fma-neg_binary64
378×cancel-sign-sub-inv_binary64
360×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084473
1219438
2687426
33502402
Stop Event
1×node limit
Counts
36 → 40
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 1 (neg.f64 (pow.f64 x 3/2)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))
(+.f64 (neg.f64 (pow.f64 x 3/2)) 1)
(*.f64 1 (-.f64 1 (pow.f64 x 3/2)))
(*.f64 (-.f64 1 (pow.f64 x 3/2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))))
(*.f64 (-.f64 1 (pow.f64 x 9/2)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x 3/2)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 9/2))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (neg.f64 (pow.f64 x 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2)))) (-.f64 1 (neg.f64 (pow.f64 x 3/2))))
(pow.f64 (-.f64 1 (pow.f64 x 3/2)) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x 3/2))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x 3/2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x 3/2))))
Outputs
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (pow.f64 (/.f64 1 x) -3/2))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))
(neg.f64 (expm1.f64 (*.f64 3/2 (log.f64 x))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))
(neg.f64 (expm1.f64 (*.f64 3/2 (log.f64 x))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))
(neg.f64 (expm1.f64 (*.f64 3/2 (log.f64 x))))
(-.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))
(neg.f64 (expm1.f64 (*.f64 3/2 (log.f64 x))))
(+.f64 1 (neg.f64 (pow.f64 x 3/2)))
(-.f64 1 (pow.f64 x 3/2))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))
(-.f64 1 (pow.f64 x 3/2))
(+.f64 (neg.f64 (pow.f64 x 3/2)) 1)
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1 (-.f64 1 (pow.f64 x 3/2)))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 (-.f64 1 (pow.f64 x 3/2)) 1)
(-.f64 1 (pow.f64 x 3/2))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 (-.f64 1 (pow.f64 x 9/2)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))
(/.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 x 9/2)) (-.f64 (-.f64 -1 (pow.f64 x 3/2)) (pow.f64 x 3)))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))
(/.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 x 9/2)) (-.f64 (-.f64 -1 (pow.f64 x 3/2)) (pow.f64 x 3)))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x 3/2)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))
(/.f64 (+.f64 -1 (pow.f64 x 9/2)) (-.f64 (-.f64 -1 (pow.f64 x 3/2)) (pow.f64 x 3)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 9/2))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))) (-.f64 1 (pow.f64 x 9/2))))
(/.f64 (-.f64 1 (pow.f64 x 9/2)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 x 9/2)) (-.f64 (-.f64 -1 (pow.f64 x 3/2)) (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (pow.f64 x 3/2))))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (neg.f64 (pow.f64 x 3/2)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (-.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3/2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 3/2) 3)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 3/4) 6)) (+.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 3/4) 6)) (+.f64 (+.f64 1 (pow.f64 x 3/2)) (pow.f64 x 3)))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2)))) (-.f64 1 (neg.f64 (pow.f64 x 3/2))))
(*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (pow.f64 x 3/2))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3/2)))
(pow.f64 (-.f64 1 (pow.f64 x 3/2)) 1)
(-.f64 1 (pow.f64 x 3/2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3) 1/3)
(-.f64 1 (pow.f64 x 3/2))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3/2))) 3)
(-.f64 1 (pow.f64 x 3/2))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3/2))) 2)
(-.f64 1 (pow.f64 x 3/2))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 2))
(-.f64 1 (pow.f64 x 3/2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x 3/2))))
(-.f64 1 (pow.f64 x 3/2))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 3/2)) 3))
(-.f64 1 (pow.f64 x 3/2))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x 3/2))))
(-.f64 1 (pow.f64 x 3/2))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 3/2))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x 3/2))))
(-.f64 1 (pow.f64 x 3/2))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

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

rewrite102.0ms (1.2%)

Algorithm
1×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
1×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 exp.f64 (log.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 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 exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(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 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)))))

simplify82.0ms (1%)

Algorithm
1×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
1×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))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(log1p.f64 (expm1.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)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(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))
(exp.f64 (log.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))
(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))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (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))
(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))

localize47.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
0.1b
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
0.0b
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
✓0.1b
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
✓3.1b
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
Compiler

Compiled 40 to 27 computations (32.5% saved)

series13.0ms (0.2%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
2.0ms
x
@-inf
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
1.0ms
x
@inf
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
1.0ms
x
@0
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
985×pow1_binary64
920×add-log-exp_binary64
919×log1p-expm1-u_binary64
919×expm1-log1p-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
122036
2304836
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify102.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
657×unswap-sqr_binary64
506×fma-def_binary64
367×associate-/r*_binary64
353×associate-/l*_binary64
310×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142748
15472505
220632461
Stop Event
1×node limit
Counts
150 → 156
Calls
Call 1
Inputs
-1
1
1
(+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (sqrt.f64 x) -1) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 -1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 x (+.f64 x 1))))
(/.f64 -1 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 -1 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 x (+.f64 x 1)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 x (+.f64 x 1)) (*.f64 -1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 3)) (+.f64 x (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (-.f64 x (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1))))) (-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 -1 (-.f64 x (+.f64 x 1))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) -1)
(pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 2)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 1 (exp.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (sqrt.f64 x) -1) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(-.f64 0 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) -1))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 -1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) -1)
(pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 2)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 1 (exp.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 1 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 -1 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2))) (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (neg.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 -1 (-.f64 x (+.f64 x 1))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 x (+.f64 x 1))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) 2)
(neg.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
Outputs
-1
1
1
(+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))
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(*.f64 (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (/.f64 1 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 (+.f64 x (+.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x x))))) (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(/.f64 (+.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))) (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (/.f64 1 (-.f64 x (+.f64 x 1))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 x (+.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) 3)
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) 2)
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(neg.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(fabs.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) 3))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
0.0b
(+.f64 (+.f64 x 1) x)
0.0b
(*.f64 (+.f64 x 1) x)
0.0b
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
0.0b
(+.f64 (+.f64 x 1) x)
✓0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
✓0.3b
(*.f64 3/2 (sqrt.f64 x))
12.6b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

series10.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
2.0ms
x
@0
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@0
(*.f64 3/2 (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 3/2 (sqrt.f64 x))

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
829×fma-def_binary64
670×log-prod_binary64
385×fma-neg_binary64
232×log1p-udef_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
127332
2406229
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 3/2 (sqrt.f64 x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 3/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 3/2 (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))))

simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
634×fma-def_binary64
579×associate-*l/_binary64
551×times-frac_binary64
442×associate-*r/_binary64
301×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731598
14291554
217641393
Stop Event
1×node limit
Counts
64 → 100
Calls
Call 1
Inputs
(+.f64 0 (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)
(pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))
(+.f64 0 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 3/2 (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)
(pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 3)
(pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))
(log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
Outputs
(+.f64 0 (*.f64 3/2 (sqrt.f64 x)))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(*.f64 3/2 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)
(*.f64 3/2 (sqrt.f64 x))
(sqrt.f64 (*.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))
(*.f64 3/2 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 3/2 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))
(*.f64 3/2 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) 1))
(*.f64 3/2 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 0 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(*.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
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(pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) 2)))
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) 2)) 9/4))
(sqrt.f64 (/.f64 9/4 (/.f64 (pow.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) 2) x)))
(log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 3/2 (/.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 3/2 (/.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))

eval323.0ms (3.8%)

Compiler

Compiled 13252 to 9036 computations (31.8% saved)

prune132.0ms (1.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New7043707
Fresh156
Picked101
Done167
Total70714721
Error
0b
Counts
721 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.5b
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
✓27.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶32.6b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
29.6b
1
▶7.4b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
▶27.0b
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
13.6b
(/.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)))
32.6b
(*.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
✓31.4b
(-.f64 1 (pow.f64 x 3/2))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓28.8b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓28.8b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
▶28.0b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓27.9b
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
Compiler

Compiled 250 to 193 computations (22.8% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
7.4b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
0.3b
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b
(sqrt.f64 (+.f64 1 x))
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)
✓7.4b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series17.0ms (0.2%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
5.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
2.0ms
x
@0
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))

rewrite106.0ms (1.2%)

Algorithm
1×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
1×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)) (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)) (cbrt.f64 (/.f64 1 (+.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 (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 (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 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/9)))) (#(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)) 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 (cbrt.f64 (/.f64 1 (+.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 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -3/2)))) (#(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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))))) (#(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 (log.f64 (cbrt.f64 (/.f64 1 (+.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 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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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simplify64.0ms (0.8%)

Algorithm
1×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
14241310
211161310
348581310
Stop Event
1×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)))))
(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))
(log1p.f64 (expm1.f64 (/.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))
(+.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)))
(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)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))
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)))
(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)))
(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)))
(+.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)
(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)
(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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 1 x))
✓0.1b
(sqrt.f64 (/.f64 1 x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series48.0ms (0.6%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
46.0ms
x
@0
(sqrt.f64 (/.f64 1 x))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 1 x))
1.0ms
x
@inf
(sqrt.f64 (/.f64 1 x))

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
399×pow1_binary64
386×add-sqr-sqrt_binary64
376×*-un-lft-identity_binary64
371×add-log-exp_binary64
371×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056
1994
211014
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 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 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 (pow.f64 x -1/2) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(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 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(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 1 1/3) (pow.f64 x -1/2))))) (#(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 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -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 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (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 (pow.f64 (/.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(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 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(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 (pow.f64 (/.f64 1 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 exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
510×fma-def_binary64
463×associate-/l*_binary64
422×fma-neg_binary64
328×*-commutative_binary64
307×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119389
1267360
2661349
32408338
46898338
Stop Event
1×node limit
Counts
46 → 69
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 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))
(*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -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 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (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 (pow.f64 (/.f64 1 x) 3/2) 1/3)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(fabs.f64 (pow.f64 x -1/2))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))))) (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 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(pow.f64 x -1/2)
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))))
(*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.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 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (/.f64 1 x) 3/4)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 x) 3/4) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (pow.f64 x -1/2)) x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (/.f64 (pow.f64 x -1/4) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/4) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (sqrt.f64 (cbrt.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (sqrt.f64 (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 1 (pow.f64 (cbrt.f64 x) 3/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(/.f64 1 (sqrt.f64 x))
(fabs.f64 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))
(pow.f64 x -1/2)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
0.0b
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓0.0b
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓0.1b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series4.0ms (0%)

Counts
2 → 6
Calls

6 calls:

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

rewrite118.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
444×fma-def_binary64
419×log-prod_binary64
379×prod-exp_binary64
318×exp-prod_binary64
290×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120223
2273323
Stop Event
1×node limit
Counts
2 → 145
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Outputs
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(log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 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x 1) 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 x))))) (#(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)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))))))

simplify100.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
592×fma-def_binary64
388×distribute-rgt-in_binary64
363×unswap-sqr_binary64
354×distribute-lft-in_binary64
304×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03162313
17972194
221772175
Stop Event
1×node limit
Counts
151 → 205
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (+.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) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) 2)
(pow.f64 (exp.f64 -1) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))) (/.f64 x (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (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 (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 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 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 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(/.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -1)
(/.f64 (+.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) 2) 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 x (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.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 (+.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) 2) x)) (neg.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)) (fma.f64 1/4 (*.f64 x x) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2) (*.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (sqrt.f64 x)) 2)) (-.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 x (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -3)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) -2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 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))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (+.f64 1 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (fma.f64 1/2 x 1))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 1 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(fma.f64 1/2 x (+.f64 1 (sqrt.f64 x)))
(fma.f64 1/2 x (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 x 1/2 (+.f64 1 (sqrt.f64 x)))
(fma.f64 x 1/2 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (*.f64 1/2 x) 1 (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 x) 1 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (fma.f64 1/2 x 1) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (fma.f64 1/2 x 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 1/2 x -1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 x))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 1/2 x))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
Outputs
1
(/.f64 2 x)
(/.f64 2 x)
1
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -2)) (cbrt.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -2)) (cbrt.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 (/.f64 1 (+.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) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (-.f64 (+.f64 x (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (+.f64 x (*.f64 (fma.f64 x 1/2 1) (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3/2)))
(/.f64 (fma.f64 (fma.f64 x 1/2 1) (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) x) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(/.f64 (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2) 1/2)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -3))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 3)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) 2)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (exp.f64 -1) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x)))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1))
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1))
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(log.f64 (exp.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (+.f64 1 (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (exp.f64 (sqrt.f64 x))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (fma.f64 1/2 x 1))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(exp.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 3))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) 1))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1)))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1 (*.f64 1/2 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1 (sqrt.f64 x) (fma.f64 1/2 x 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1/2 x (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 1/2 x (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 x 1/2 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 x 1/2 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 x) 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 x) 1 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (fma.f64 1/2 x 1) 1 (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 x) 1 (fma.f64 1/2 x 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (fma.f64 1/2 x 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (+.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 -1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (+.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 x -1/2 (fma.f64 1/4 (*.f64 x x) 1))))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 1/2 x -1)) (sqrt.f64 x))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 x 1/2 -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 1/2 x))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3/2 (sqrt.f64 x))
0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
0.0b
(+.f64 (+.f64 x 1) x)
0.0b
(+.f64 (+.f64 (+.f64 x 1) x) x)
✓0.0b
(+.f64 (+.f64 (+.f64 x 1) x) x)
0.0b
(+.f64 (+.f64 x 1) x)
✓0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
0.3b
(*.f64 3/2 (sqrt.f64 x))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
1.0ms
x
@0
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
1.0ms
x
@inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
0.0ms
x
@inf
(+.f64 (+.f64 (+.f64 x 1) x) x)
0.0ms
x
@0
(+.f64 (+.f64 (+.f64 x 1) x) x)

rewrite88.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
580×fma-def_binary64
565×log-prod_binary64
303×pow2_binary64
286×fma-neg_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01028
123328
2349324
Stop Event
1×node limit
Counts
2 → 137
Calls
Call 1
Inputs
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(+.f64 (+.f64 (+.f64 x 1) x) x)
Outputs
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(sqrt.f64 x) (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 x 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 2 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 2 1) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 x 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 x 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))))))

simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
777×fma-def_binary64
482×distribute-rgt-in_binary64
461×unswap-sqr_binary64
455×distribute-lft-in_binary64
197×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03282186
18201926
226961822
Stop Event
1×node limit
Counts
149 → 186
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 0 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 3/2 (/.f64 1 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 1 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 x 1))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) -2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) -1/2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (-.f64 (fma.f64 x 2 1) x))
(pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 2)
(pow.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) 1) -1)
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (+.f64 x 1)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 2) (-.f64 (fma.f64 x 2 1) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x 2 1) x)))
(*.f64 1 (fma.f64 x 2 (+.f64 x 1)))
(*.f64 (fma.f64 x 2 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x)) (/.f64 1 (-.f64 (fma.f64 x 2 1) x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x 2 1) x) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x (fma.f64 x 2 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x)) (-.f64 (fma.f64 x 2 1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x 2 1) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x x) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (+.f64 x 1) (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2)) (-.f64 x (fma.f64 x 2 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x x) 2)) (-.f64 (+.f64 x 1) (+.f64 x x)))
(pow.f64 (fma.f64 x 2 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x 2 1) x) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 x 2 1))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 x 2 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x 2 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 x 2 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (+.f64 x 1))))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (+.f64 x 1))))
(fma.f64 x 1 (fma.f64 x 2 1))
(fma.f64 x 2 (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x 2 1))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 1 x (fma.f64 x 2 1))
(fma.f64 1 (+.f64 x 1) (+.f64 x x))
(fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x x) 1))
(fma.f64 1 (fma.f64 x 2 1) x)
(fma.f64 1 (+.f64 x x) (+.f64 x 1))
(fma.f64 (+.f64 x 1) 1 (+.f64 x x))
(fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x x) 1))
(fma.f64 (fma.f64 x 2 1) 1 x)
(fma.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (+.f64 x x))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (+.f64 x x) 1))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) x)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))) x)
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 2 x (+.f64 x 1))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 0 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 3 x 1))) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 3 x 1))) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (/.f64 1 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 1 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x)))) (/.f64 1 (fma.f64 x 2 (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3 x 1)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2) 9/4))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 3 x 1) 2)) 9/4)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2) 9/4))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 3 x 1) 2)) 9/4)))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 x 1))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x)))) (/.f64 1 (fma.f64 x 2 (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3 x 1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(/.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2)))
(/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2)) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(/.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2)))
(/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2)) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) -2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))) -2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) -2) (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 3 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) -2) (/.f64 3/2 (/.f64 (cbrt.f64 (fma.f64 3 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(/.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2)))
(/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2)) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1))))
(*.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) -1/2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) -1/2) (/.f64 3/2 (/.f64 (sqrt.f64 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 3 x 1) -1/2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (fma.f64 3 x 1))))
(*.f64 (pow.f64 (fma.f64 3 x 1) -1/2) (*.f64 3/2 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 3 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x)))) (/.f64 1 (fma.f64 x 2 (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3 x 1)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) 3/2)) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) 3/2)) (fma.f64 x (-.f64 -1 x) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (-.f64 (fma.f64 x 2 1) x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 (*.f64 (fma.f64 3 x 1) (-.f64 -1 x)) (-.f64 -1 x)))
(pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) 1/2)
(sqrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2) 9/4)))
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 3 x 1) 2)) 9/4))
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3) 1/3)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 3)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 2)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) -1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)) 1/3)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) 1) -1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))
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(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))
(fma.f64 x 2 (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))) x)
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 2 x (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (fma.f64 x 2 1))
(fma.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (fma.f64 x 2 1))

localize55.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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)))
✓6.5b
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
Compiler

Compiled 53 to 37 computations (30.2% saved)

series6.0ms (0.1%)

Counts
2 → 2
Calls

6 calls:

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

rewrite74.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
675×fma-def_binary64
514×log-prod_binary64
329×fma-neg_binary64
314×pow2_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01137
125134
2360031
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(+.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))))
Outputs
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simplify72.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
883×times-frac_binary64
436×fma-def_binary64
371×cancel-sign-sub-inv_binary64
355×distribute-rgt-in_binary64
341×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02213198
15292853
215292823
Stop Event
1×node limit
Counts
112 → 148
Calls
Call 1
Inputs
1
2
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(*.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 -1 (/.f64 1 (neg.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)) (/.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 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(*.f64 (/.f64 1 (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 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
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(*.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 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.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))))
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(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (neg.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
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(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 (/.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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.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)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(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))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(fma.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1)
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 0)
(fma.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 -1)
(fma.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 0)
(fma.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)) 0)
(fma.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)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) -1)
(fma.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) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)) 1)
(fma.f64 (/.f64 1 (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)))) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1) (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1) 1)
(fma.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 (+.f64 1 x) x))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(-.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(-.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 1 (+.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 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (+.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)) -2) (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (neg.f64 (-.f64 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) 1) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(fma.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 1)
(fma.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(fma.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)) 1)
(fma.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)))) 1)
(fma.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) 1)
(fma.f64 (/.f64 1 (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)))) 1)
(fma.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 (+.f64 1 x) x))) 1)
(fma.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
Outputs
1
2
(-.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 -1 (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 -2 (/.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 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -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 (/.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 (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 1 (+.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 (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 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 6)) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 -2 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (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 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(/.f64 1 (+.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 (+.f64 1 x) x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (+.f64 1 x) (-.f64 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 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 1 (neg.f64 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 6)) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (+.f64 -2 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (+.f64 2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(fma.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)) 1)
(+.f64 1 (/.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)))))
(fma.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)))) 1)
(fma.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)) 1)
(+.f64 1 (/.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)))))
(fma.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) 1)
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 (/.f64 1 (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)))) 1)
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.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 (+.f64 1 x) x))) 1)
(fma.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 1)
(+.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 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 (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))))
(fma.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

eval752.0ms (8.9%)

Compiler

Compiled 16825 to 12241 computations (27.2% saved)

prune246.0ms (2.9%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New94611957
Fresh303
Picked101
Done4610
Total95417971
Error
0b
Counts
971 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
60.0b
(/.f64 2 x)
32.6b
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 (+.f64 x 1) x) x))
29.6b
1
32.6b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 3 x))
✓31.4b
(-.f64 1 (pow.f64 x 3/2))
32.6b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
32.4b
(*.f64 1/2 (pow.f64 x -1/2))
27.9b
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
32.5b
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
✓27.9b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
13.6b
(/.f64 (+.f64 (+.f64 1 x) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
59.2b
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
60.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
✓28.8b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓28.8b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
✓28.0b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
Compiler

Compiled 157 to 125 computations (20.4% saved)

regimes101.0ms (1.2%)

Counts
33 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 3 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 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 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 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 1 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(*.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(/.f64 (+.f64 (+.f64 1 x) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.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 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) 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))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(*.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)))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Calls

3 calls:

60.0ms
x
10.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms
(-.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 367 to 262 computations (28.6% saved)

regimes111.0ms (1.3%)

Counts
18 → 2
Calls
Call 1
Inputs
1
1
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 3 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 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Calls

3 calls:

68.0ms
x
23.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms
(-.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 137 to 97 computations (29.2% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.9414066375466064e-5
0.00023167177778304904
Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
1
1
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 3 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 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x 9/4)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 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:

39.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
Compiler

Compiled 114 to 81 computations (28.9% saved)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
26.0ms
0.13137983386600421
4.597083892091637
Results
23.0ms112×body256valid
Compiler

Compiled 131 to 107 computations (18.3% saved)

regimes48.0ms (0.6%)

Counts
10 → 2
Calls
Call 1
Inputs
1
1
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 3 x))
Outputs
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (pow.f64 x -1/2))
Calls

1 calls:

43.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
26.0ms
0.13137983386600421
4.597083892091637
Results
22.0ms112×body256valid
Compiler

Compiled 110 to 93 computations (15.5% saved)

regimes23.0ms (0.3%)

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

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch74.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
74.0ms
0.13137983386600421
4.597083892091637
Results
20.0ms112×body256valid
Compiler

Compiled 82 to 72 computations (12.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -30.5b remaining (-103.1%)

Threshold costs -30.5b (-103.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 2 x)
Outputs
1
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
29.6b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify29.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033108
146108
254108
358108
460108
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(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 3332663724254167/4503599627370496) (-.f64 1 (pow.f64 x 3/2)) (*.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 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 7378697629483821/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(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 3332663724254167/4503599627370496) (-.f64 1 (pow.f64 x 3/2)) (*.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 79 to 62 computations (21.5% saved)

soundness112.0ms (1.3%)

Algorithm
1×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
35153763
Stop Event
1×node limit
Compiler

Compiled 338 to 225 computations (33.4% saved)

end98.0ms (1.2%)

Compiler

Compiled 74 to 55 computations (25.7% saved)

Profiling

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