Details

Time bar (total: 5.8s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
60%37.5%25%0%0%37.5%0%4
77.8%43.7%12.5%0%0%43.7%0%5
88.2%46.9%6.2%0%0%46.9%0%6
93.9%48.4%3.1%0%0%48.4%0%7
96.9%49.2%1.6%0%0%49.2%0%8
98.4%49.6%0.8%0%0%49.6%0%9
99.2%49.8%0.4%0%0%49.8%0%10
99.6%49.9%0.2%0%0%49.9%0%11
99.8%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (21%)

Results
527.0ms2147×body1024valid
447.0ms4865×body256valid
171.0ms985×body512valid
69.0ms259×body2048valid
0.0ms5×body256invalid
Bogosity

preprocess19.0ms (0.3%)

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)

simplify11.0ms (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))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓2.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series6.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))
1.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))

rewrite45.0ms (0.8%)

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 log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify49.0ms (0.8%)

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
35152763
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))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 x (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 1 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval26.0ms (0.4%)

Compiler

Compiled 1322 to 856 computations (35.2% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh000
Picked011
Done000
Total91899
Error
0.2b
Counts
99 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.9b
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
▶32.2b
(/.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))))
▶0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶32.4b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓31.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
31.8b
(*.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)))
▶31.8b
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
33.1b
1
Compiler

Compiled 176 to 138 computations (21.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 18 computations (35.7% saved)

series8.0ms (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))

rewrite63.0ms (1.1%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify76.0ms (1.3%)

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
375801178
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)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite46.0ms (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) 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(-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))))

simplify69.0ms (1.2%)

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)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
Outputs
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (sqrt.f64 (fma.f64 1/2 x 1))) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (pow.f64 (*.f64 1/2 x) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (-.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))

localize52.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 x 1) 3/2)
✓0.0b
(/.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))))
✓12.5b
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
✓15.5b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 74 to 52 computations (29.7% saved)

series11.0ms (0.2%)

Counts
4 → 41
Calls

12 calls:

TimeVariablePointExpression
3.0ms
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
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
1.0ms
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))))
1.0ms
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))))
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))

rewrite83.0ms (1.4%)

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 → 161
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))))
(pow.f64 (+.f64 x 1) 3/2)
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 log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (+.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 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))))))

simplify154.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
513×fma-neg_binary64
385×div-sub_binary64
301×fma-def_binary64
184×associate-/l*_binary64
176×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05546121
113925497
256305333
Stop Event
1×node limit
Counts
202 → 350
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))))
(+.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))))))
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(+.f64 0 (/.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) (+.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 (log.f64 (*.f64 (cbrt.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))))))) (cbrt.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 (cbrt.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)))))))))
(+.f64 (log.f64 (sqrt.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 (sqrt.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)))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (exp.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))))))) 1)
(*.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)))))))
(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)))))))
(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))
(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 0 (pow.f64 (+.f64 x 1) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(+.f64 x (+.f64 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 (+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 x x))) x) (/.f64 1/8 x))
(+.f64 (+.f64 1/2 (/.f64 1/16 (*.f64 x x))) (+.f64 x (/.f64 -1/8 x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 x 1)
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 1/2 (neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 1 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 1/2 (/.f64 1/8 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))) (neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 1/2 (fma.f64 1 x (/.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 (+.f64 1/2 (/.f64 1/16 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/8 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (fma.f64 1 x (/.f64 -1/8 x)) (+.f64 1/2 (/.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))
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1
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(fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) (pow.f64 (+.f64 x (+.f64 x 1)) 3))) (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 (neg.f64 (pow.f64 x 3/2)) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
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(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)))))))
(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)))) (/.f64 (neg.f64 (pow.f64 x 3/2)) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x x) (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (/.f64 (pow.f64 x 3/2) (+.f64 x (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 0 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 3)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3)
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(pow.f64 (+.f64 x 1) 3/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(pow.f64 (+.f64 x 1) 3/2)
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓0.0b
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
2.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series7.0ms (0.1%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
2.0ms
x
@-inf
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
2.0ms
x
@0
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@inf
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

rewrite53.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
875×pow1_binary64
817×expm1-log1p-u_binary64
816×log1p-expm1-u_binary64
815×add-log-exp_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
117424
2231924
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))) (#(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 log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))

simplify56.0ms (1%)

Algorithm
1×egg-herbie
Rules
710×fma-def_binary64
678×times-frac_binary64
286×distribute-rgt-in_binary64
272×unswap-sqr_binary64
266×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401118
1360939
21443865
36714865
Stop Event
1×node limit
Counts
58 → 78
Calls
Call 1
Inputs
1
(log.f64 2)
(+.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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))
(/.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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(/.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))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(*.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
Outputs
1
(log.f64 2)
(+.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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 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 (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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 (+.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 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) 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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 (+.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 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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 (+.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 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 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 -1 (+.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 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 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) -1) (fma.f64 (+.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 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 1)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 1)) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 2)))))
(/.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 x (+.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 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (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))))
(-.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))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓0.1b
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
2.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series55.0ms (0.9%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
38.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
7.0ms
x
@inf
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
6.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
1.0ms
x
@-inf
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite53.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
122024
2259224
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (*.f64 (cbrt.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 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (cbrt.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))) (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 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) 3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))))) (#(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 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 cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.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))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))

simplify61.0ms (1%)

Algorithm
1×egg-herbie
Rules
559×fma-def_binary64
534×unswap-sqr_binary64
433×exp-prod_binary64
428×log-prod_binary64
248×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561307
13571191
213081117
362381104
Stop Event
1×node limit
Counts
67 → 93
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 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (*.f64 (cbrt.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 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) 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)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 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 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))
(/.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))))
(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)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
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 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 (+.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 (+.f64 1 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 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (*.f64 (cbrt.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 (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 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 7))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))
(-.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 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 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) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) 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)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 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 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (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 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 7))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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))))
(/.f64 (-.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 (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 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) 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 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 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) 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 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 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) 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 1 (+.f64 x (+.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) (+.f64 1 x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/6) 4)
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (-.f64 (+.f64 1 x) x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1/6) 2)
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

eval659.0ms (11.3%)

Compiler

Compiled 22467 to 16156 computations (28.1% saved)

prune216.0ms (3.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9037910
Fresh112
Picked101
Done325
Total90810918
Error
0.0b
Counts
918 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
16.8b
(/.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)))
▶44.7b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
▶31.6b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶10.3b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
✓31.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶32.4b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
▶28.6b
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
33.1b
1
Compiler

Compiled 226 to 174 computations (23% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x))
✓0.0b
(pow.f64 (+.f64 1 x) 3/2)
✓0.2b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
✓10.2b
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series5.0ms (0.1%)

Counts
4 → 18
Calls

12 calls:

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

rewrite65.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
419×fma-def_binary64
417×log-prod_binary64
316×exp-prod_binary64
281×pow-prod-down_binary64
254×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
122338
2293338
Stop Event
1×node limit
Counts
4 → 184
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
(pow.f64 (+.f64 1 x) 3/2)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (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 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 9/2) 1/9)))) (#(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 (+.f64 1 x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/4)))) (#(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) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 5/2) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (*.f64 3/2 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3/4) 2))))))
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x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))))) 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(2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (hypot.f64 1 (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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))))))

simplify85.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
765×fma-def_binary64
568×unswap-sqr_binary64
483×distribute-rgt-in_binary64
307×sqr-pow_binary64
271×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04464294970298
110412820
230302680
Stop Event
1×node limit
Counts
202 → 298
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.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 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.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)))))
1
(+.f64 0 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (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 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 x) 9/2) 1/9)
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/4)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/4) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3/2 (log1p.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/2 (log1p.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3/2))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 3/4))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(+.f64 0 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.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 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 x) x)) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1) 1))
(+.f64 0 (pow.f64 (+.f64 1 x) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 3/2))
(*.f64 (pow.f64 (+.f64 1 x) 3/2) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 1 x))
(*.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 5/2) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (pow.f64 (+.f64 1 x) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (*.f64 3/2 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 3/4))
(exp.f64 (*.f64 (*.f64 3/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3/4) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1)
(-.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 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.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 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.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 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(*.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(/.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 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 (-.f64 (+.f64 1 x) x) (-.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 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 x) x)) (neg.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
1
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (*.f64 x 3/2))
(fma.f64 x 3/2 1)
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))
(+.f64 1 (fma.f64 x 3/2 (*.f64 x (*.f64 x 3/8))))
(fma.f64 x 3/2 (fma.f64 (*.f64 x x) 3/8 1))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2))))
(+.f64 (fma.f64 x 3/2 (*.f64 x (*.f64 x 3/8))) (fma.f64 (pow.f64 x 3) -1/16 1))
(fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/2 (fma.f64 (*.f64 x x) 3/8 1)))
(sqrt.f64 (pow.f64 x 3))
(pow.f64 x 3/2)
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/2 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3)))
(fma.f64 3/2 (sqrt.f64 x) (pow.f64 x 3/2))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3))))
(fma.f64 3/2 (sqrt.f64 x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (pow.f64 x 3/2)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 3/2 (sqrt.f64 x) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (fma.f64 3/2 (sqrt.f64 x) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (pow.f64 x 3))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (sqrt.f64 x) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3/2))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 3/2 (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2)) x) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2)))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.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 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(+.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))))
(fma.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2) (*.f64 (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2)) x) (+.f64 3/2 (/.f64 3/8 x))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.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 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
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(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) -3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) -3) -1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -3) -1/6))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3)
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) -3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 2)
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) -1/2) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) -2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) 1) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 (+.f64 1 x) x)) -1)
(/.f64 (-.f64 (+.f64 1 x) x) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (exp.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 1/3))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 3))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))) 2))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 1) 1))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (+.f64 1 x) 1/6) 3))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite35.0ms (0.6%)

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

simplify45.0ms (0.8%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0119389
1267360
2661349
32409338
46900338
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)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
Outputs
(+.f64 0 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(+.f64 (*.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)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(pow.f64 x -1/2)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 14 computations (39.1% saved)

series1.0ms (0%)

Counts
1 → 2
Calls

3 calls:

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

rewrite41.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
676×pow1_binary64
631×add-log-exp_binary64
631×log1p-expm1-u_binary64
631×expm1-log1p-u_binary64
617×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11329
217479
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.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 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) 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 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x) (fma.f64 1/2 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.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 (pow.f64 (*.f64 1/2 x) 2) (*.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 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))))

simplify48.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
581×div-sub_binary64
462×associate-*l*_binary64
426×associate-*r*_binary64
389×fma-def_binary64
240×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100522
1262496
2972473
35422473
Stop Event
1×node limit
Counts
39 → 50
Calls
Call 1
Inputs
(*.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 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) 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 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.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 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(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)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
Outputs
(*.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)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (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) (sqrt.f64 x))
(+.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 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) x) (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 1/4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 1/4 (*.f64 x x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(-.f64 (*.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 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) x) (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 1/4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 1/4 (*.f64 x x) x)))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) x) (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 1/4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 1/4 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x) (fma.f64 1/2 x (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) x) (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 x (*.f64 x 1/4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/2 (pow.f64 x 3/2) (fma.f64 1/4 (*.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.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 (pow.f64 x 3) 1/8 (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 x (sqrt.f64 x))) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 x (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 x (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(-.f64 (*.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 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(-.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))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series9.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
6.0ms
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))

rewrite66.0ms (1.1%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (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))))))))) 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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))))))

simplify64.0ms (1.1%)

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
17982194
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))))))
(log1p.f64 (expm1.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)))
(-.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)))))
(log1p.f64 (expm1.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)))
(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 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 x (*.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)))
(log1p.f64 (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)))
(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))
(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 (*.f64 3 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 1/3))
(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 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 3))
(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 (*.f64 -1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(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 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) -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 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1) 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 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1) 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 (neg.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)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (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))
(-.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 (-.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 x 1/2 1) 2) x) (-.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(*.f64 1 (+.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))
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(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))))
(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))

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 x 1) x)
✓0.3b
(*.f64 3/2 (sqrt.f64 x))
✓0.4b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
15.5b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

series9.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
3.0ms
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
@-inf
(*.f64 3/2 (sqrt.f64 x))
0.0ms
x
@0
(*.f64 3/2 (sqrt.f64 x))

rewrite68.0ms (1.2%)

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
01239
127339
2406236
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (+.f64 x 1) x)
Outputs
((#(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 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simplify59.0ms (1%)

Algorithm
1×egg-herbie
Rules
828×times-frac_binary64
476×unswap-sqr_binary64
373×associate-/r*_binary64
166×associate-/r/_binary64
148×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02942060
17191972
226511911
Stop Event
1×node limit
Counts
128 → 170
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 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))))))))
(log1p.f64 (expm1.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))
(+.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))))
(log1p.f64 (expm1.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))
(-.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 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (+.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)) (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 x 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 (fma.f64 x (-.f64 x (+.f64 x 1)) (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))))
(/.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))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x 1))))
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(fma.f64 x 1 (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x 1))
(fma.f64 1 x (+.f64 x 1))
(fma.f64 1 (+.f64 x 1) x)
(fma.f64 (+.f64 x 1) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 x 1))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) x)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.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 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.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 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 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 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 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)
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(fma.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (+.f64 1 x))
(+.f64 (+.f64 1 x) (*.f64 (sqrt.f64 x) (pow.f64 x 1/2)))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) x)
(+.f64 x (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) x)
(+.f64 x (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))
(fma.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (+.f64 1 x))
(+.f64 (+.f64 1 x) (*.f64 (sqrt.f64 x) (pow.f64 x 1/2)))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (+.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 x))

eval449.0ms (7.7%)

Compiler

Compiled 15103 to 10212 computations (32.4% saved)

prune223.0ms (3.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New8486854
Fresh123
Picked101
Done246
Total85212864
Error
0b
Counts
864 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
▶16.8b
(/.f64 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
29.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
▶60.0b
(/.f64 2 x)
✓31.6b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶28.2b
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓31.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓32.4b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
▶28.5b
(*.f64 1/2 (pow.f64 x -1/2))
▶59.5b
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
33.1b
1
Compiler

Compiled 212 to 162 computations (23.6% saved)

localize39.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 x) 3/2)
✓2.1b
(-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))
✓10.4b
(/.f64 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
✓15.5b
(sqrt.f64 (+.f64 x (*.f64 x x)))
Compiler

Compiled 82 to 40 computations (51.2% saved)

series6.0ms (0.1%)

Counts
3 → 26
Calls

9 calls:

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

rewrite73.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
616×fma-neg_binary64
284×expm1-udef_binary64
283×log1p-udef_binary64
240×log-pow_binary64
179×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01457
134248
2545048
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x (*.f64 x x)))
(/.f64 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (hypot.f64 x (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 3))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))))))

simplify106.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
468×fma-neg_binary64
464×unswap-sqr_binary64
408×times-frac_binary64
238×sub-neg_binary64
209×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04243474
111433344
239183191
Stop Event
1×node limit
Counts
151 → 258
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 x)
(-.f64 (*.f64 -1 x) 1/2)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) (+.f64 1/2 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/4 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (pow.f64 x 2))) (*.f64 3/16 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 x 2)))))))))
(*.f64 3/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (*.f64 3/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 3/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(-.f64 (*.f64 3/2 (/.f64 x (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 3/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(-.f64 (+.f64 (*.f64 25/128 (/.f64 1 (*.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 x (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (*.f64 3/8 (/.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 1/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
1
1/2
(+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 x)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))
(*.f64 2 x)
(+.f64 3/2 (*.f64 2 x))
(-.f64 (+.f64 3/2 (*.f64 2 x)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 3/2 (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (fma.f64 x x x) 1/4) (pow.f64 (fma.f64 x x x) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 x 3)) (hypot.f64 x (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 x (*.f64 x x))))
(pow.f64 (fma.f64 x x x) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(hypot.f64 (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))) 1)
(-.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (*.f64 (cbrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (neg.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (cbrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 9/2) (pow.f64 (+.f64 x 1) 9/2))) (+.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 x 3/4) (pow.f64 (+.f64 x 1) 3/4))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) -1)
(neg.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3) (pow.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)) (log.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)) (log.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))) 1))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (+.f64 x 1) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 1 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (fma.f64 x x x)) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 1 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) x)) (/.f64 1 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) 1/4)) (-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) x)) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) x))) (neg.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (*.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)
(pow.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1))
(fma.f64 1 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x 1) 1 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(+.f64 (+.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 x (/.f64 1/16 (*.f64 x x))) (-.f64 1/2 (/.f64 1/8 x)))
(+.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (+.f64 1/2 (/.f64 -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/2)
(fma.f64 -1 x -1/2)
(fma.f64 x -1 -1/2)
(-.f64 -1/2 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1 x (/.f64 1/8 x)) -1/2)
(+.f64 (-.f64 (/.f64 1/8 x) x) -1/2)
(+.f64 (/.f64 1/8 x) (-.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 x))) (+.f64 1/2 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -1 x (/.f64 1/8 x)) -1/2) (/.f64 1/16 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1/8 x) x) (+.f64 -1/2 (/.f64 -1/16 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/8 x) (-.f64 -1/2 x)) (/.f64 -1/16 (*.f64 x x)))
(/.f64 1 (+.f64 1 (pow.f64 x 3/2)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 3/4 (/.f64 (-.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) x)) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (fma.f64 3/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) x) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/32))))
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1
1/2
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(/.f64 (-.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 (-.f64 1 x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (hypot.f64 x (sqrt.f64 x)) x))) (+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 1)
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 3)
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 2))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (exp.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1))
(exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(fma.f64 1 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x 1) 1 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) x)))) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x))) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (hypot.f64 x (sqrt.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 15 to 9 computations (40% saved)

series8.0ms (0.1%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+.f64 1 (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms
x
@inf
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 x))

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
601×pow1_binary64
561×add-log-exp_binary64
561×log1p-expm1-u_binary64
561×expm1-log1p-u_binary64
548×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112815
2163615
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 x))) (/.f64 x (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) 1)))))

simplify70.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
891×fma-def_binary64
629×unswap-sqr_binary64
577×distribute-rgt-in_binary64
313×div-sub_binary64
240×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0120719
1292644
2979527
34732527
Stop Event
1×node limit
Counts
59 → 70
Calls
Call 1
Inputs
1
1
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(pow.f64 (+.f64 1 (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 x))) (/.f64 x (-.f64 1 (sqrt.f64 x))))
(*.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
(*.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 x 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 x))) -1)
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) 1))
(pow.f64 (+.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 x))))
(exp.f64 (log1p.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 x) 1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) 1)
Outputs
1
1
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 x)))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2)))
(/.f64 (+.f64 x (-.f64 1 (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x))
(pow.f64 (+.f64 1 (sqrt.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 x))) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 x))) (/.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(*.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(*.f64 (+.f64 1 (sqrt.f64 x)) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(*.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 x (sqrt.f64 x))) (+.f64 1 (pow.f64 x 3/2))))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 x)) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 x)))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(/.f64 (hypot.f64 1 (pow.f64 x 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 x)) -1/2))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 x))) -1)
(/.f64 (-.f64 -1 (sqrt.f64 x)) -1)
(-.f64 1 (/.f64 (sqrt.f64 x) -1))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 1 (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) 1))
(/.f64 (-.f64 1 x) (-.f64 1 (sqrt.f64 x)))
(pow.f64 (+.f64 1 (sqrt.f64 x)) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 3)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(pow.f64 (hypot.f64 1 (pow.f64 x 1/4)) 2)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 3))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(exp.f64 (log1p.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 x) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) 1)
(+.f64 (+.f64 2 (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (sqrt.f64 x)) 0)
(+.f64 1 (sqrt.f64 x))

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (pow.f64 x -1/2))
✓5.9b
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series51.0ms (0.9%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@0
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
10.0ms
x
@-inf
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
6.0ms
x
@inf
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
0.0ms
x
@0
(+.f64 1 (pow.f64 x -1/2))
0.0ms
x
@inf
(+.f64 1 (pow.f64 x -1/2))

rewrite84.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
116211
2216511
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 1 (pow.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x -1/2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 x -1/2))) (/.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 x -1/4)) (*.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x -3/2)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x -1)) (/.f64 1 (-.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 x -1/2)) (-.f64 1 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -1)) (-.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x -3/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x -1))) (neg.f64 (-.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) 1) (+.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x -3/2)) 1) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x -1)) 1) (-.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) 1)))))

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
522×fma-neg_binary64
424×associate-/l*_binary64
322×unswap-sqr_binary64
301×associate-/r*_binary64
264×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751153
14131121
217821019
Stop Event
1×node limit
Counts
100 → 107
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(sqrt.f64 (/.f64 1 x))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 1 (+.f64 (pow.f64 x -1/2) -1))
(+.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(+.f64 (pow.f64 x -1/2) 0)
(+.f64 (+.f64 1 (pow.f64 x -1/2)) -1)
(+.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (*.f64 x x) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 x -3/2) 1/3)
(pow.f64 (pow.f64 x -1/4) 2)
(sqrt.f64 (pow.f64 x -1))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)
(-.f64 (+.f64 (pow.f64 x -1/2) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 x -1/2))) (/.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))
(*.f64 1 (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 1))
(*.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)))
(*.f64 (hypot.f64 1 (pow.f64 x -1/4)) (*.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(*.f64 (+.f64 1 (pow.f64 x -3/2)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))
(*.f64 (-.f64 1 (pow.f64 x -1)) (/.f64 1 (-.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -3/2))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 x -1/2)) (-.f64 1 (pow.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (-.f64 1 (pow.f64 x -1)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x -3/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x -1))) (neg.f64 (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 x -1) 1) (+.f64 (pow.f64 x -1/2) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3/2)) 1) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -1)) 1) (-.f64 1 (pow.f64 x -1/2)))
(pow.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))
(expm1.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x -1/2))))
(exp.f64 (log1p.f64 (pow.f64 x -1/2)))
(fma.f64 1 (pow.f64 x -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) 1)
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) 1)
Outputs
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 1 (pow.f64 (/.f64 1 x) 1/2))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 1 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 1 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 1 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 1 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 1 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 1 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 1 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 1 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 1 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(+.f64 1 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 1 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 1 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))
(+.f64 1 (+.f64 (pow.f64 x -1/2) -1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 (pow.f64 x -1/2) 0)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 (+.f64 1 (pow.f64 x -1/2)) -1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(+.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 6)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 6)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) 2) (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 6)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (-.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 6)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2)) (-.f64 (+.f64 1 (pow.f64 x -1/2)) -1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (pow.f64 x -1/2) (+.f64 2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 6)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x -1/2) 2) (pow.f64 x -1/2))) (neg.f64 (+.f64 (pow.f64 x -1/2) 2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1)) (+.f64 (pow.f64 x -1/2) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x -1/2)) (+.f64 -1 (pow.f64 x -1/2))) (+.f64 -1 (pow.f64 x -1/2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 1 (*.f64 (+.f64 -1 (pow.f64 x -1/2)) (-.f64 (+.f64 -1 (pow.f64 x -1/2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (pow.f64 x -1/2)) 3)) (+.f64 1 (*.f64 (+.f64 -1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) -2))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) -1) (+.f64 (pow.f64 x -1/2) -1))) (-.f64 1 (+.f64 (pow.f64 x -1/2) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (pow.f64 x -1/2)) (+.f64 -1 (pow.f64 x -1/2)))) (-.f64 1 (+.f64 -1 (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (pow.f64 x -1/2)) (-.f64 1 (pow.f64 x -1/2)))) (-.f64 2 (pow.f64 x -1/2)))
(/.f64 (-.f64 (pow.f64 x -1/2) (-.f64 (/.f64 1 x) (pow.f64 x -1/2))) (-.f64 2 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 (pow.f64 x -1/2) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(pow.f64 (*.f64 x x) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -3/2) 1/3)
(cbrt.f64 (pow.f64 x -3/2))
(pow.f64 (pow.f64 x -1/4) 2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(sqrt.f64 (pow.f64 x -1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(fma.f64 1 (+.f64 1 (pow.f64 x -1/2)) -1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) -1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(fma.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)) -1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(-.f64 (+.f64 (pow.f64 x -1/2) 2) 1)
(+.f64 1 (pow.f64 x -1/2))
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 x -1/2))) (/.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(*.f64 1 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 1))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (hypot.f64 1 (pow.f64 x -1/4)) (hypot.f64 1 (pow.f64 x -1/4)))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (hypot.f64 1 (pow.f64 x -1/4)) (*.f64 (hypot.f64 1 (pow.f64 x -1/4)) 1))
(+.f64 1 (pow.f64 x -1/2))
(*.f64 (+.f64 1 (pow.f64 x -3/2)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (pow.f64 x -1)) (/.f64 1 (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -3/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 x -1/2)) (-.f64 1 (pow.f64 x -1))))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 (pow.f64 x -1) (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (-.f64 1 (pow.f64 x -1)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x -3/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2)))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x -1))) (neg.f64 (-.f64 1 (pow.f64 x -1/2))))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (-.f64 (pow.f64 x -1) 1) (+.f64 (pow.f64 x -1/2) -1))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3/2)) 1) (+.f64 1 (-.f64 (pow.f64 x -1) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (+.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) 1)))
(/.f64 (+.f64 1 (pow.f64 x -3/2)) (-.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x -1)) 1) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -1/2)))
(/.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 1 (pow.f64 x -1/2)))
(pow.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 1 (pow.f64 x -1/2))
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x -1/2))) 3)
(+.f64 1 (pow.f64 x -1/2))
(pow.f64 (hypot.f64 1 (pow.f64 x -1/4)) 2)
(+.f64 1 (pow.f64 x -1/2))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) 1/3)
(+.f64 1 (pow.f64 x -1/2))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))
(+.f64 1 (pow.f64 x -1/2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 1 (pow.f64 x -1/2))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))
(+.f64 1 (pow.f64 x -1/2))
(expm1.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 1 (pow.f64 x -1/2))
(exp.f64 (log1p.f64 (pow.f64 x -1/2)))
(fma.f64 1 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) 1)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) 1)
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) 1)
(+.f64 1 (pow.f64 x -1/2))

eval329.0ms (5.6%)

Compiler

Compiled 12559 to 8636 computations (31.2% saved)

prune107.0ms (1.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New5103513
Fresh033
Picked101
Done178
Total51213525
Error
0b
Counts
525 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
35.2b
(/.f64 (+.f64 x 1/2) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
29.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
✓60.0b
(/.f64 2 x)
✓31.6b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.2b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓28.2b
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
✓31.8b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓32.4b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
✓28.5b
(*.f64 1/2 (pow.f64 x -1/2))
59.5b
(*.f64 1/2 (-.f64 (-.f64 (+.f64 (pow.f64 x -1/2) 2) 1) 1))
59.4b
(*.f64 1/2 (+.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
33.1b
1
Compiler

Compiled 129 to 103 computations (20.2% saved)

regimes22.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(*.f64 1/2 (+.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(*.f64 1/2 (-.f64 (-.f64 (+.f64 (pow.f64 x -1/2) 2) 1) 1))
(/.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 x 1/2) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 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)))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Calls

2 calls:

10.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 282 to 205 computations (27.3% saved)

regimes38.0ms (0.6%)

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

2 calls:

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

Compiled 106 to 79 computations (25.5% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7948332242667675e-6
0.00019656105450849282
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
1
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(*.f64 1/2 (+.f64 (+.f64 (pow.f64 x -1/2) -1) 1))
(*.f64 1/2 (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(*.f64 1/2 (-.f64 (-.f64 (+.f64 (pow.f64 x -1/2) 2) 1) 1))
(/.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:

13.0ms
x
Results
ErrorSegmentsBranch
0.6b2x
Compiler

Compiled 91 to 69 computations (24.2% saved)

bsearch15.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.020493038726382713
2023682.9639126786
Results
13.0ms144×body256valid
Compiler

Compiled 165 to 135 computations (18.2% saved)

regimes10.0ms (0.2%)

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

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch15.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.020493038726382713
2023682.9639126786
Results
13.0ms144×body256valid
Compiler

Compiled 147 to 126 computations (14.3% saved)

regimes9.0ms (0.2%)

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

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
2.2b2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch15.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.020493038726382713
2023682.9639126786
Results
13.0ms144×body256valid
Compiler

Compiled 102 to 90 computations (11.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -26.9b remaining (-81.1%)

Threshold costs -26.9b (-81.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
33.1b1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030110
142110
247110
349110
450110
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)) 4722366482869645/2361183241434822606848) (*.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 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 4722366482869645/2361183241434822606848) (*.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)) 4722366482869645/2361183241434822606848) (*.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 1) (/.f64 1 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Compiler

Compiled 80 to 63 computations (21.3% saved)

soundness93.0ms (1.6%)

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
35152763
Stop Event
1×node limit
Compiler

Compiled 338 to 225 computations (33.4% saved)

end48.0ms (0.8%)

Compiler

Compiled 75 to 55 computations (26.7% saved)

Profiling

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