Details

Time bar (total: 8.5s)

analyze3.0ms (0%)

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)

sample1.5s (18.2%)

Results
674.0ms2053×body1024valid
512.0ms4958×body256valid
245.0ms1025×body512valid
94.0ms220×body2048valid
0.0ms4×body256invalid
Bogosity

preprocess36.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.1%)

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
28.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓2.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series98.0ms (1.2%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 5000 to 3855 computations (22.9% saved)

rewrite49.0ms (0.6%)

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))))))

simplify75.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
931×fma-neg_binary64
575×fma-def_binary64
485×times-frac_binary64
392×div-sub_binary64
219×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0143927
1334841
21213741
34923727
Stop Event
1×node limit
Counts
58 → 82
Calls
Call 1
Inputs
(+.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
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (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 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)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (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 (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 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.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 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 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 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 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 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 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.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 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 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.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 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 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.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 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.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 (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 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.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 (pow.f64 (+.f64 x 1) 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 x 1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 1 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 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 (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 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 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 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval35.0ms (0.4%)

Compiler

Compiled 1104 to 718 computations (35% saved)

prune17.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh000
Picked011
Done000
Total80383
Error
0.1b
Counts
83 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓28.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶28.3b
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓1.5b
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
2.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series100.0ms (1.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@0
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@-inf
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@-inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
1.0ms
x
@inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
Compiler

Compiled 6920 to 5365 computations (22.5% saved)

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
810×log1p-expm1-u_binary64
810×expm1-log1p-u_binary64
809×add-log-exp_binary64
789×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
117724
2230824
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.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 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (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 (+.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 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 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 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.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 sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
891×fma-neg_binary64
703×fma-def_binary64
360×unswap-sqr_binary64
199×distribute-rgt-in_binary64
196×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521139
13641053
21422921
36411921
Stop Event
1×node limit
Counts
64 → 75
Calls
Call 1
Inputs
(+.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 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.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 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))
(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 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(*.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(pow.f64 (exp.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))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
Outputs
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (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 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)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(+.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 x 1)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 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 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (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 (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 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 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 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 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 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 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 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (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 1 (+.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 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.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 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) (+.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))))
(-.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 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (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 x 1)) (sqrt.f64 x))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (exp.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 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 18 computations (35.7% saved)

series95.0ms (1.1%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 6700 to 5075 computations (24.3% saved)

rewrite55.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
905×pow1_binary64
845×log1p-expm1-u_binary64
845×expm1-log1p-u_binary64
844×add-log-exp_binary64
823×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
117825
2246625
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 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)))))))

simplify53.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
726×fma-def_binary64
607×unswap-sqr_binary64
425×fma-neg_binary64
412×log-div_binary64
390×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341233
13471080
21181930
36105930
Stop Event
1×node limit
Counts
60 → 78
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.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)))
Outputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(+.f64 1 (-.f64 (/.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 (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 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (/.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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 1 (-.f64 (/.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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
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(-.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))))
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(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(+.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 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.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 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 (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 (fma.f64 x 2 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 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
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(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.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 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
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(/.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 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.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 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 (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 (fma.f64 x 2 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 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
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(/.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 (fma.f64 x 2 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)))
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(/.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 (-.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)))
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(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
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(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
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(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
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(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

eval80.0ms (0.9%)

Compiler

Compiled 4040 to 2798 computations (30.7% saved)

prune50.0ms (0.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New25811269
Fresh000
Picked011
Done112
Total25913272
Error
0.0b
Counts
272 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
▶15.3b
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
0.3b
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
0.2b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
▶0.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
10.2b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
▶28.3b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
✓28.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.7b
(*.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))
15.4b
(*.f64 (/.f64 1 (+.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))))))
0.4b
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
▶0.1b
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
Compiler

Compiled 376 to 300 computations (20.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 26 computations (33.3% saved)

series309.0ms (3.7%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
3.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
2.0ms
x
@0
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
2.0ms
x
@-inf
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
1.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
Compiler

Compiled 21270 to 16200 computations (23.8% saved)

rewrite87.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
439×fma-def_binary64
435×prod-exp_binary64
414×log-prod_binary64
298×exp-prod_binary64
297×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
121645
2274545
Stop Event
1×node limit
Counts
4 → 190
Calls
Call 1
Inputs
(pow.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))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
Outputs
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(+.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 exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 (+.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 0 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(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 /.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 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 (E.f64) (*.f64 1/2 (log1p.f64 x)))))) (#(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) 3) 1/6)))) (#(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 (+.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 pow.f64 (exp.f64 1/2) (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 fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))))))

simplify72.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
765×fma-def_binary64
407×associate-/l*_binary64
385×distribute-rgt-in_binary64
341×distribute-lft-in_binary64
291×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04083007
19172801
225042714
Stop Event
1×node limit
Counts
190 → 212
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.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)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -4) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 5/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
Outputs
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) (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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)))
(*.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)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -4) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.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)) -3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 5/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 5/6) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 -4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6)) 1/3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2) (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2) (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4) 1/4)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) 3/2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 1/2) (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(fabs.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
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(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (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))))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(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))))
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓1.5b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
2.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series74.0ms (0.9%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 5740 to 4425 computations (22.9% saved)

rewrite87.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
716×fma-def_binary64
411×log-prod_binary64
390×fma-neg_binary64
306×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121625
2329925
Stop Event
1×node limit
Counts
2 → 225
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Outputs
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simplify94.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
620×fma-neg_binary64
404×unswap-sqr_binary64
301×associate-/l*_binary64
192×distribute-rgt-neg-in_binary64
192×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04194995
19994880
230384855
Stop Event
1×node limit
Counts
225 → 293
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.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 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
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(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (+.f64 (sqrt.f64 x) 1)))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (-.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(*.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (+.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(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))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(fma.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.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) 1)
(fma.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))) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) 1)
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1)
(fma.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1 -1)
(fma.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 2) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
Outputs
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 1 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.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 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 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 (sqrt.f64 (+.f64 1 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 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 x) 2)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 2 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
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(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2)) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x))
✓0.1b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
✓0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
✓0.3b
(cbrt.f64 (+.f64 x 1))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series144.0ms (1.7%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
4.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
2.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
Compiler

Compiled 15370 to 11620 computations (24.4% saved)

rewrite66.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
419×log-prod_binary64
401×fma-def_binary64
315×exp-prod_binary64
286×pow-prod-down_binary64
256×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
122437
2296637
Stop Event
1×node limit
Counts
4 → 177
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/3 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/3 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.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 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x 1))))) (#(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 log.f64 (+.f64 1 (expm1.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 1/2 (log1p.f64 x)))))) (#(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 2/3 (log1p.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3/4) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.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 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (/.f64 1 (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)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 x 1) x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2) (/.f64 1 (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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)))) (#(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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)))) (#(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 (/.f64 1 (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 pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))))))
((#(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 (+.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))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 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x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (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 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
521×unswap-sqr_binary64
473×fma-def_binary64
446×distribute-rgt-in_binary64
414×distribute-lft-in_binary64
275×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03854294969772
18572350
224272346
Stop Event
1×node limit
Counts
177 → 213
Calls
Call 1
Inputs
(+.f64 0 (cbrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3)
(pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 x)))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(pow.f64 (exp.f64 1/3) (log1p.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/3 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/3 (log1p.f64 x))))
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) 3/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.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 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 x)) 3/4))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3/4) 2))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 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 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)))
(*.f64 (/.f64 1 (-.f64 (+.f64 x 1) x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(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 (/.f64 1 (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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.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))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2))))
(*.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)) (+.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 (+.f64 x 1) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2))))
(/.f64 (-.f64 (+.f64 x 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) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2))))
(/.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(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 (/.f64 1 (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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(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))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
Outputs
(+.f64 0 (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)
(cbrt.f64 (+.f64 x 1))
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(cbrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))))
(*.f64 (pow.f64 (exp.f64 1/9) (log1p.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))))
(*.f64 (pow.f64 (exp.f64 1/9) (log1p.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(cbrt.f64 (+.f64 x 1))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/3)
(cbrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(cbrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 x)))
(cbrt.f64 (+.f64 x 1))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1/2)
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x)))
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 1/18) (pow.f64 (pow.f64 (+.f64 x 1) 3) 1/18))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(cbrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(cbrt.f64 (+.f64 x 1))
(pow.f64 (exp.f64 1/3) (log1p.f64 x))
(cbrt.f64 (+.f64 x 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/3 (log1p.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)) 2)) (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/3 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/3))) (sqrt.f64 (*.f64 (log1p.f64 x) 1/3)))
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x)))
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) 3/2))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 x))) 3/2)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (log1p.f64 x))) 3))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 2))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/3))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1))
(cbrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1))
(cbrt.f64 (+.f64 x 1))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 x)) 3/4))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(sqrt.f64 (+.f64 x 1))
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(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) -2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/2)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))
✓2.1b
(-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))
✓10.1b
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓14.2b
(sqrt.f64 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 87 to 60 computations (31% saved)

series66.0ms (0.8%)

Counts
4 → 0
Calls

12 calls:

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

Compiled 6410 to 5260 computations (17.9% saved)

rewrite101.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
538×fma-neg_binary64
287×expm1-udef_binary64
287×log1p-udef_binary64
240×log-pow_binary64
239×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01469
134257
2535557
Stop Event
1×node limit
Counts
4 → 194
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 1 x)))
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 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 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) 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x))))))))

simplify87.0ms (1%)

Algorithm
1×egg-herbie
Rules
852×fma-neg_binary64
282×div-sub_binary64
209×fma-def_binary64
207×log-prod_binary64
178×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04343690
110653539
240143435
Stop Event
1×node limit
Counts
194 → 263
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))
(pow.f64 (+.f64 x (*.f64 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 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))
(hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))
(hypot.f64 x (sqrt.f64 x))
(hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)
(hypot.f64 (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) 1)
(*.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (+.f64 (neg.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 1) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (hypot.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (-.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) 1))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 1))
(+.f64 (-.f64 x (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 (hypot.f64 x (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (+.f64 x (*.f64 x x))) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (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))) x)
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 x (-.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (*.f64 x (-.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (fma.f64 x x (*.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (*.f64 x (-.f64 x (+.f64 x 1))) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (+.f64 x 1)))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.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 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 1))
(fma.f64 x 1 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 x (-.f64 (hypot.f64 x (sqrt.f64 x)) x))
(-.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1)
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2)) (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2))) (neg.f64 (+.f64 (-.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 (+.f64 x (*.f64 x x)) (*.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 x (*.f64 x x))) (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 2) (*.f64 x x)) (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x))
(pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(fma.f64 x 1 (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 x 2 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 x (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(fma.f64 1 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1 -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) x)
(fma.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(hypot.f64 x (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(hypot.f64 x (sqrt.f64 x))
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(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (/.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (exp.f64 x)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 1 (expm1.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(expm1.f64 (*.f64 (log1p.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x 1 (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x 2 (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 x (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) -1)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (+.f64 x x) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))) 1 -1)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x))) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (*.f64 x x)))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(fma.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) -1)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) x)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (-.f64 (hypot.f64 x (sqrt.f64 x)) x)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))) -1)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x)))) x)
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) (/.f64 1 (+.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x))) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x (-.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) 1)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (+.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (fma.f64 -2 x (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 1 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (/.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 1 (+.f64 x x)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 -2 x) (hypot.f64 x (sqrt.f64 x))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))) 2)) (+.f64 1 (fma.f64 -2 x (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 2 x (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 x))) x)
(+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 28 computations (31.7% saved)

series189.0ms (2.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
5.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
2.0ms
x
@0
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
1.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
Compiler

Compiled 12950 to 10255 computations (20.8% saved)

rewrite58.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify50.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01551016
1309966
2740966
33201964
Stop Event
1×node limit
Counts
61 → 69
Calls
Call 1
Inputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) 5) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/2))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6)) 3))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1/2))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/4) 2))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) 5) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/2))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -1))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1/4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/6)) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) 1) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/4) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)

eval485.0ms (5.7%)

Compiler

Compiled 24505 to 16450 computations (32.9% saved)

prune251.0ms (3%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New123641240
Fresh336
Picked101
Done066
Total1240131253
Error
0b
Counts
1253 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
▶0.7b
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
✓15.3b
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
▶0.2b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
✓0.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
▶10.2b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
✓28.3b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
✓28.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶15.4b
(*.f64 (/.f64 1 (+.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))))))
0.3b
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2) -2))
✓0.1b
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
▶10.1b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
Compiler

Compiled 272 to 220 computations (19.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 x 1) 1/4)
✓0.0b
(+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
✓0.1b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
✓0.2b
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
Compiler

Compiled 44 to 33 computations (25% saved)

series180.0ms (2.1%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
4.0ms
x
@inf
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
3.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
1.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
1.0ms
x
@-inf
(+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
Compiler

Compiled 16740 to 14410 computations (13.9% saved)

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
444×log-prod_binary64
406×fma-def_binary64
305×pow-prod-down_binary64
271×pow2_binary64
239×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
125138
2311738
Stop Event
1×node limit
Counts
4 → 164
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
(+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
(pow.f64 (+.f64 x 1) 1/4)
Outputs
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((#(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 (+.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 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/12) (sqrt.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/4 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/8 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/8) 2))))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
460×unswap-sqr_binary64
454×distribute-rgt-in_binary64
421×distribute-lft-in_binary64
405×fma-def_binary64
237×exp-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03482270
17592101
222312101
Stop Event
1×node limit
Counts
164 → 190
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/12))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.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 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/4))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 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 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 x 1) x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.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)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.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 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (+.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 (+.f64 x 1) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (+.f64 x 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 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3)
(pow.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)) -1/2) -2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(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)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(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))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/12) (sqrt.f64 x))
(+.f64 0 (pow.f64 (+.f64 x 1) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/12))
(*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8))
(sqrt.f64 (sqrt.f64 (+.f64 x 1)))
(fabs.f64 (pow.f64 (+.f64 x 1) 1/4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 3/4 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/8))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/4 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/8 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/4))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/8) 2))
Outputs
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/12))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(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))))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/4))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 2))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))) (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 1 (-.f64 (+.f64 x 1) x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 1/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/6))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(/.f64 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 (sqrt.f64 (+.f64 x 1)) (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 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (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 (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 x (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(*.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (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 x (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.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 x (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/6))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/12) (sqrt.f64 x))
(+.f64 0 (pow.f64 (+.f64 x 1) 1/4))
(pow.f64 (+.f64 x 1) 1/4)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4))) 1)
(pow.f64 (+.f64 x 1) 1/4)
(*.f64 1 (pow.f64 (+.f64 x 1) 1/4))
(pow.f64 (+.f64 x 1) 1/4)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) 1)
(pow.f64 (+.f64 x 1) 1/4)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/12))
(pow.f64 (pow.f64 (+.f64 x 1) 1/12) 3)
(*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/12))
(pow.f64 (pow.f64 (+.f64 x 1) 1/12) 3)
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8))
(pow.f64 (+.f64 x 1) 1/4)
(sqrt.f64 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 1/4)
(fabs.f64 (pow.f64 (+.f64 x 1) 1/4))
(pow.f64 (+.f64 x 1) 1/4)
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 x 1) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4))))
(pow.f64 (+.f64 x 1) 1/4)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 x 1) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (+.f64 x 1) 1/4)
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 3/4 (log1p.f64 x)) 1/3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 x)) 1/8))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/4 (log1p.f64 x))) 3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 1/8 (log1p.f64 x)) 2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/4))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 1) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/8) 2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
✓0.0b
(pow.f64 (+.f64 x 1) 3/2)
✓0.1b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
✓10.2b
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series298.0ms (3.5%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
5.0ms
x
@inf
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
1.0ms
x
@-inf
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
Compiler

Compiled 25895 to 22935 computations (11.4% saved)

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
974×prod-diff_binary64
418×log-prod_binary64
392×fma-def_binary64
254×pow2_binary64
231×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
122438
2295138
Stop Event
1×node limit
Counts
4 → 147
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(pow.f64 (+.f64 x 1) 3/2)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
Outputs
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(2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.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 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (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 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))

simplify81.0ms (1%)

Algorithm
1×egg-herbie
Rules
623×fma-def_binary64
501×distribute-rgt-in_binary64
467×distribute-lft-in_binary64
386×unswap-sqr_binary64
213×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02934294969455
16492042
220492008
Stop Event
1×node limit
Counts
147 → 183
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.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 1/3) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 9/2) 1/9)
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/4)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/4) 2/3)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(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 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))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 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 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(*.f64 (/.f64 1 (-.f64 (+.f64 x 1) x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.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 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(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 (/.f64 1 (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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(+.f64 0 (pow.f64 (+.f64 x 1) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) 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 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (sqrt.f64 (+.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 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(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 1/2 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.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))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))
(*.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)) (+.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 (+.f64 x 1) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 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 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(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 (/.f64 1 (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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(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)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(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))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
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(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)) (+.f64 x 1))))
(/.f64 (-.f64 (+.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (-.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 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) 1) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)) (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) -1/6))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (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)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) 1) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (fma.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)) (+.f64 x 1))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 x 1) x)) -1)
(/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

localize61.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 x) 3/2)
✓0.2b
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓10.0b
(*.f64 (/.f64 1 (+.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))))))
14.2b
(sqrt.f64 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 95 to 64 computations (32.6% saved)

series69.0ms (0.8%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@0
(*.f64 (/.f64 1 (+.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))))))
1.0ms
x
@0
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
1.0ms
x
@inf
(/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (+.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))))))
Compiler

Compiled 7390 to 6445 computations (12.8% saved)

rewrite73.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
699×fma-neg_binary64
288×expm1-udef_binary64
288×log1p-udef_binary64
189×add-sqr-sqrt_binary64
183×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01556
136753
2579153
Stop Event
1×node limit
Counts
3 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.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 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(pow.f64 (+.f64 1 x) 3/2)
Outputs
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simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
662×fma-def_binary64
536×associate-/r*_binary64
529×associate-/l*_binary64
508×unswap-sqr_binary64
241×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02463356
16672904
226062755
Stop Event
1×node limit
Counts
95 → 139
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (*.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1))
(+.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) 1)
(-.f64 (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (cbrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) 1) (*.f64 (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) 1) (*.f64 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) -1) (*.f64 (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) -1) (*.f64 (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)))
(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) (pow.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2) (-.f64 (*.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2) (*.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) 1) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 -1 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2) (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 1 (pow.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (+.f64 (-.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) -1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x)))) (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) (exp.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (exp.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) (pow.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) 3) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x x)) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(fma.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(fma.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 1))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))))
(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) (*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) 1))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 9/2) (pow.f64 x 9/2))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -1)
(pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 3)
(pow.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 3/2))
(*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1 x) 3/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1 x) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2))
(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 3/2 (log1p.f64 x)) 1))
Outputs
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1 (/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (*.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) 1))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1 (/.f64 (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(+.f64 (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(+.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (/.f64 (+.f64 x (-.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
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(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (+.f64 1 x) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 3)
(sqrt.f64 (pow.f64 (+.f64 1 x) 3))
(pow.f64 (+.f64 1 x) 3/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 3/2)))
(pow.f64 (+.f64 1 x) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2))))
(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)))
(pow.f64 (+.f64 1 x) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 3/2)))
(pow.f64 (+.f64 1 x) 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))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓0.3b
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)
✓10.1b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series748.0ms (8.9%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
4.0ms
x
@-inf
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
3.0ms
x
@0
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
3.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)
3.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)
Compiler

Compiled 44560 to 34100 computations (23.5% saved)

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
417×prod-exp_binary64
413×log-prod_binary64
409×fma-def_binary64
306×exp-prod_binary64
294×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
121728
2279228
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.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 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (cbrt.f64 (/.f64 1 (+.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)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))))) (#(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 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 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)))) (#(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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)))) (#(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 pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (/.f64 1 (+.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)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -6) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.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)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))))))

simplify56.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01931355
14171308
211021308
348411308
Stop Event
1×node limit
Counts
82 → 100
Calls
Call 1
Inputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9) 1/9)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) -3/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) -3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 1)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -6) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(exp.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) 2))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))
(exp.f64 (+.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (E.f64) (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -6) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/18) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -9) 1/18))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/6))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) -3/2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2) 2/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2)) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) -3/2))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 0 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -6) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -6) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 5/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -6))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -9)) 1/3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 3))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) 2))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2) (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3/2)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓0.3b
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓0.4b
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
Compiler

Compiled 38 to 25 computations (34.2% saved)

series672.0ms (7.9%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
44.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
8.0ms
x
@inf
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
5.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
4.0ms
x
@-inf
(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)))
Compiler

Compiled 36410 to 30640 computations (15.8% saved)

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
416×prod-exp_binary64
413×log-prod_binary64
409×fma-def_binary64
307×exp-prod_binary64
293×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
121727
2279327
Stop Event
1×node limit
Counts
2 → 68
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 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.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 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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 (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 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(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 x (+.f64 x 1))))))))) (#(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 (E.f64) (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/9)))) (#(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 pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))))))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
580×distribute-rgt-in_binary64
555×distribute-lft-in_binary64
319×exp-prod_binary64
307×associate-*l*_binary64
268×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01824294968402
13871094
28911088
338361088
Stop Event
1×node limit
Counts
68 → 86
Calls
Call 1
Inputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) -3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))
(+.f64 0 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 (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 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 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 x (+.f64 x 1))))))
(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 (E.f64) (log.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) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/9)
(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)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) 2/3)
(pow.f64 (exp.f64 1/3) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(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)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3)) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -1)) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2) (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) -3/2)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 0 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (sqrt.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)))
(-.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)))
(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)))))
(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 (cbrt.f64 (+.f64 1 (-.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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 x (+.f64 x 1))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (cbrt.f64 (+.f64 (+.f64 1 x) (-.f64 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 1 (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x 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) (sqrt.f64 (fma.f64 x x 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 (E.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)))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 1/2)
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/6)
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/18) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/18))
(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)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) 2/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2/3)
(*.f64 (cbrt.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (cbrt.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(pow.f64 (exp.f64 1/3) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (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)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1/3))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1/3) 1))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1) 1))
(cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

eval420.0ms (5%)

Compiler

Compiled 16474 to 11571 computations (29.8% saved)

prune175.0ms (2.1%)

Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New8893892
Fresh112
Picked011
Done01010
Total89015905
Error
0b
Counts
905 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -2)
✓0.7b
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) -3)
✓15.3b
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
✓0.2b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
0.4b
(/.f64 1 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8)) 2) (sqrt.f64 x)))
✓0.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
0.2b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓10.2b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
10.2b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)))
✓28.3b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
✓28.3b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓15.4b
(*.f64 (/.f64 1 (+.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))))))
✓0.1b
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
✓10.1b
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) -3))
Compiler

Compiled 210 to 169 computations (19.5% saved)

regimes25.0ms (0.3%)

Counts
21 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 (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))))))
(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))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(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)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(/.f64 1 (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 1/8)) 2) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2) -2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (pow.f64 (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))
Outputs
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
Calls

3 calls:

10.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.1b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 304 to 223 computations (26.6% saved)

regimes18.0ms (0.2%)

Accuracy

Total -28.9b remaining (-19652.7%)

Threshold costs -28.9b (-19652.7%)

Counts
12 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/8) (pow.f64 (+.f64 x 1) 1/8)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 (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))))))
(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))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Calls

3 calls:

7.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.1b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 175 to 127 computations (27.4% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
12241
22641
32841
42941
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness95.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
931×fma-neg_binary64
575×fma-def_binary64
485×times-frac_binary64
392×div-sub_binary64
219×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0143927
1334841
21213741
34923727
Stop Event
1×node limit
Compiler

Compiled 203 to 152 computations (25.1% saved)

end26.0ms (0.3%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

Profiling

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