Details

Time bar (total: 5.8s)

analyze171.0ms (3%)

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
25%25%75%0%0%0%0%3
28.6%25%62.5%0%0%0%12.5%4
30.8%25%56.2%0%0%0%18.7%5
36%28.1%50%0%0%0%21.9%6
38.8%29.7%46.9%0%0%0%23.4%7
40.2%30.5%45.3%0%0%0%24.2%8
40.7%30.8%44.9%0%0%0%24.2%9
41.2%31.2%44.5%0%0%0%24.2%10
41.4%31.3%44.4%0%0%0%24.2%11
41.5%31.4%44.3%0%0%0%24.3%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.9s (33.7%)

Results
990.0ms2727×body1024valid
428.0ms3919×body256valid
316.0ms1328×body512valid
127.0ms282×body2048valid
5.0ms44×body256infinite
0.0ms3×body256unsamplable
Bogosity

preprocess109.0ms (1.9%)

Algorithm
2×egg-herbie
Rules
633×associate-/l*_binary64
580×associate-*l*_binary64
568×associate-*r*_binary64
505×associate-/r*_binary64
380×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify25.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
633×associate-/l*_binary64
580×associate-*l*_binary64
568×associate-*r*_binary64
505×associate-/r*_binary64
380×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
Stop Event
1×node limit
Counts
1 → 5
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 41 to 29 computations (29.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Error
0.0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 8 computations (42.9% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite108.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
550×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
111814
2142914
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))

simplify80.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
695×times-frac_binary64
576×distribute-rgt-in_binary64
535×distribute-lft-in_binary64
421×fma-def_binary64
231×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0153947
1361825
21202653
33688639
Stop Event
1×node limit
Counts
66 → 96
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 (*.f64 x x) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (/.f64 7/192 (/.f64 (sqrt.f64 2) (pow.f64 x 3)))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (-.f64 (exp.f64 x) 1))
(+.f64 2 (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓0.2b
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
752×pow1_binary64
704×add-log-exp_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
687×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
115124
2210624
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))))

simplify67.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
530×log-prod_binary64
387×log-div_binary64
381×fma-neg_binary64
340×fma-def_binary64
306×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901402
14451316
215681306
366581306
Stop Event
1×node limit
Counts
89 → 101
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (+.f64 2 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4)) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) 1/2)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (expm1.f64 x)) 1/2))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/4) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

eval83.0ms (1.4%)

Compiler

Compiled 2723 to 1490 computations (45.3% saved)

prune23.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1943197
Fresh000
Picked101
Done011
Total1954199
Error
0b
Counts
199 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
▶26.6b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶21.9b
(sqrt.f64 2)
Compiler

Compiled 20 to 17 computations (15% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite40.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
554×pow1_binary64
522×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
512×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11116
213816
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))))

simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
451×fma-def_binary64
433×associate-*l*_binary64
415×associate-*r*_binary64
360×times-frac_binary64
359×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080390
1177332
2456282
31486260
46109260
Stop Event
1×node limit
Counts
26 → 45
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 (/.f64 1/2 (sqrt.f64 2)) x (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x -16)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 2 (expm1.f64 x)))

rewrite48.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
631×pow1_binary64
592×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
580×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11298
215768
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))))))

simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
586×fma-def_binary64
568×unswap-sqr_binary64
434×fma-neg_binary64
341×associate-/l*_binary64
324×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090557
1212475
2569423
31883381
46201381
Stop Event
1×node limit
Counts
34 → 46
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 3/8 (*.f64 x x)))))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 3/16 (sqrt.f64 2)) (*.f64 x x) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 7/96 (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x 3/8)))) (fma.f64 (/.f64 7/192 (sqrt.f64 2)) (pow.f64 x 3) (sqrt.f64 2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) (cbrt.f64 (+.f64 2 (expm1.f64 x))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2)))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4)))
(pow.f64 (+.f64 2 (expm1.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 1))
(+.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x))) 0)
(sqrt.f64 (+.f64 2 (expm1.f64 x)))

eval32.0ms (0.6%)

Compiler

Compiled 1183 to 959 computations (18.9% saved)

prune12.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New90191
Fresh000
Picked011
Done033
Total90595
Error
0b
Counts
95 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.2b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓26.6b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓21.9b
(sqrt.f64 2)
Compiler

Compiled 29 to 25 computations (13.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
✓0.6b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
915×pow1_binary64
862×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
118615
2261015
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)))))

simplify51.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
467×distribute-rgt-in_binary64
404×distribute-lft-in_binary64
332×times-frac_binary64
329×associate-+l+_binary64
289×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02031414
14761331
217961321
Stop Event
1×node limit
Counts
88 → 121
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (+.f64 (sqrt.f64 2) 1) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) 1))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) 1)
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) 1))
(+.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1))
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) 1))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))
(sqrt.f64 (+.f64 2 x))
(+.f64 (sqrt.f64 (+.f64 2 x)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(sqrt.f64 (+.f64 2 x))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(+.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)) (+.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (-.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -2))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))) (-.f64 2 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(sqrt.f64 (+.f64 2 x))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) -1)
(sqrt.f64 (+.f64 2 x))
(-.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))) (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 2 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) 1) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (-.f64 -3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))

eval56.0ms (1%)

Compiler

Compiled 2573 to 2236 computations (13.1% saved)

prune26.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1624166
Fresh000
Picked011
Done044
Total1629171
Error
0b
Counts
171 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.7b
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
▶27.8b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
▶22.4b
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
✓27.2b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
▶27.8b
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓26.6b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓21.9b
(sqrt.f64 2)
Compiler

Compiled 79 to 69 computations (12.7% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
✓0.6b
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
✓0.9b
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
Compiler

Compiled 55 to 45 computations (18.2% saved)

series12.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
2.0ms
x
@-inf
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
1.0ms
x
@0
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
1.0ms
x
@-inf
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
1.0ms
x
@inf
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))

rewrite71.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
906×prod-diff_binary64
533×log-prod_binary64
333×fma-def_binary64
233×fma-neg_binary64
209×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
127724
2386424
Stop Event
1×node limit
Counts
3 → 178
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (neg.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) (neg.f64 (sqrt.f64 (+.f64 2 x))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 x) 1/4) (neg.f64 (pow.f64 (+.f64 2 x) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 2 x) 1/4)) (pow.f64 (+.f64 2 x) 1/4) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) 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simplify97.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
582×fma-neg_binary64
467×unswap-sqr_binary64
313×div-sub_binary64
187×associate-/r*_binary64
146×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04533965
111153759
240963751
Stop Event
1×node limit
Counts
190 → 258
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
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(fma.f64 (*.f64 (-.f64 -1 x) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) -1/2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) -1/2) -1)
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)) -1)
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(+.f64 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 0 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1) (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (+.f64 x -1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (*.f64 -1 (-.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 -1 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 x) -1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
(fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1)
Outputs
(-.f64 1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)))
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (sqrt.f64 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))) (sqrt.f64 2)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (sqrt.f64 2)))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (fma.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) (sqrt.f64 2))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))) (sqrt.f64 2)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) (sqrt.f64 2)))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) 1) (-.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (sqrt.f64 2)))
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))
(neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))
(+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(-.f64 (+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))
(+.f64 (fma.f64 x (+.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (neg.f64 (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) -1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))))))
(-.f64 (+.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) -1) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 -1 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))) (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 x x) (neg.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (-.f64 1 (sqrt.f64 2)) (pow.f64 (sqrt.f64 2) 3)))))))))))
(-.f64 (-.f64 (+.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (/.f64 -1 (-.f64 1 (sqrt.f64 2)))) -1) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 2 (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (*.f64 1/8 (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))))))) (*.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))
(-.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (fma.f64 x (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2)))) (/.f64 1/8 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))))))))
(/.f64 -1 (-.f64 1 (sqrt.f64 2)))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
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(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (neg.f64 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (+.f64 x -1) (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x -1) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (*.f64 -1 (-.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (-.f64 -1 x) 1) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (/.f64 (-.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 3 x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 3 (-.f64 x (sqrt.f64 (+.f64 2 x)))))
(/.f64 (*.f64 -1 (-.f64 -1 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 x) -1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (+.f64 x -1))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))) (+.f64 x -1)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) -1 (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (neg.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (-.f64 -1 x))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) 1 -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 2 x))))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4)) 1) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.0b
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
Compiler

Compiled 15 to 15 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite40.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
543×pow1_binary64
516×add-log-exp_binary64
515×log1p-expm1-u_binary64
515×expm1-log1p-u_binary64
507×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066
11383
217493
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (-.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)))))

simplify53.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
518×log-prod_binary64
453×times-frac_binary64
404×exp-prod_binary64
374×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091322
1219307
2818297
36597297
Stop Event
1×node limit
Counts
42 → 47
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) 0)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(+.f64 0 (sqrt.f64 2))
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(*.f64 (sqrt.f64 2) 1)
(*.f64 1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (pow.f64 2 1/4) 2)
(pow.f64 (pow.f64 2 3/2) 1/3)
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 2)))
(fma.f64 1 (sqrt.f64 2) 0)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
Outputs
(+.f64 (sqrt.f64 2) 0)
(sqrt.f64 2)
(+.f64 1 (+.f64 (sqrt.f64 2) -1))
(sqrt.f64 2)
(+.f64 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(+.f64 0 (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 -1 (+.f64 (sqrt.f64 2) 1))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))
(sqrt.f64 2)
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) 1))
(sqrt.f64 2)
(*.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (/.f64 1 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 2 1/4)) 1))
(sqrt.f64 2)
(/.f64 2 (-.f64 (sqrt.f64 2) 0))
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) 2) (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 2) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 (pow.f64 2 3/2) (+.f64 2 (-.f64 0 (*.f64 (sqrt.f64 2) 0))))
(/.f64 (pow.f64 2 3/2) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2)) (-.f64 (+.f64 (sqrt.f64 2) 1) -1))
(sqrt.f64 2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 (sqrt.f64 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2) (+.f64 2 (sqrt.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (+.f64 (sqrt.f64 2) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sqrt.f64 2) 1) 3)) (+.f64 3 (+.f64 (+.f64 2 (pow.f64 2 3/2)) (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 2) 2) (sqrt.f64 2))) (neg.f64 (+.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 1/4) 2)
(sqrt.f64 2)
(pow.f64 (pow.f64 2 3/2) 1/3)
(cbrt.f64 (pow.f64 2 3/2))
(sqrt.f64 2)
(log.f64 (exp.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(cbrt.f64 (pow.f64 2 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(log1p.f64 (expm1.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(exp.f64 (log.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(fma.f64 1 (sqrt.f64 2) 0)
(sqrt.f64 2)
(fma.f64 1 (+.f64 (sqrt.f64 2) 1) -1)
(sqrt.f64 2)
(fma.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)) 0)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 2) 1)) -1)
(sqrt.f64 2)
(fma.f64 (pow.f64 2 1/4) (pow.f64 2 1/4) 0)
(sqrt.f64 2)
(fma.f64 (hypot.f64 1 (pow.f64 2 1/4)) (hypot.f64 1 (pow.f64 2 1/4)) -1)
(sqrt.f64 2)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
✓0.6b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
0.9b
(-.f64 1 (sqrt.f64 (+.f64 2 x)))
Compiler

Compiled 43 to 34 computations (20.9% saved)

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite129.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
848×prod-diff_binary64
514×log-prod_binary64
326×fma-def_binary64
283×fma-neg_binary64
207×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
125815
2376415
Stop Event
1×node limit
Counts
2 → 209
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))))

simplify186.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
694×times-frac_binary64
496×fma-neg_binary64
285×unswap-sqr_binary64
200×fma-def_binary64
193×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05429554
113417146
243635348
Stop Event
1×node limit
Counts
217 → 338
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))))
(/.f64 -1 (-.f64 1 (sqrt.f64 2)))
(-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 1 (sqrt.f64 2))))))) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 2))))
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2)))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2)))))) (neg.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))
(pow.f64 (+.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(sqrt.f64 (+.f64 x 2))
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(hypot.f64 (sqrt.f64 (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 2)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1))
(fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (-.f64 -1 x) (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1) -1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(fma.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (-.f64 -1 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (+.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)))
(fma.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) -1)
(fma.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 2)))
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(+.f64 (fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))))
(+.f64 (fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (*.f64 (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))))))
(+.f64 (fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (fma.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x))))) (fma.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 x (-.f64 -1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1)
(*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (-.f64 -1 x) (*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 1))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (-.f64 -1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(neg.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))) 1))
(fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(fma.f64 1 (sqrt.f64 (+.f64 x 2)) 1)
(fma.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(fma.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 1)
(fma.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) 1)
(fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) 1)
(fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
Outputs
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1))
(neg.f64 (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2)))))
(+.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)))
(*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) x) (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(neg.f64 (fma.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) x (+.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 2))))))
(+.f64 (-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 2))) (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2)))) x)) -1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) x)) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) 1)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (*.f64 (sqrt.f64 2) (-.f64 1 (sqrt.f64 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
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(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(/.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 1 (+.f64 2 x))) (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(*.f64 (+.f64 3 (+.f64 x (sqrt.f64 (+.f64 2 x)))) (/.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 (-.f64 -1 x) (/.f64 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3))))
(*.f64 (/.f64 (-.f64 -1 x) (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(neg.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(fma.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 2)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 x 2)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 2))) 2) (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2) (+.f64 2 (sqrt.f64 (+.f64 2 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 2 (+.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 2 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 2 x))))) (+.f64 2 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))) 1 -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 2))))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 2))))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(-.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4))) -1)
(fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 2 x) 1/4))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 2) 1/4)) 1) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 x 2) 3/2))) (+.f64 (+.f64 1 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) x (*.f64 x (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 1 (+.f64 2 x))) (*.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) x)))
(+.f64 (*.f64 0 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x 3)) (sqrt.f64 (+.f64 2 x))) (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(fma.f64 (/.f64 -1 (-.f64 1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 x 2))) (neg.f64 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 2))))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) x (*.f64 x (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))) (fma.f64 (/.f64 -1 (-.f64 -1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))) (*.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))) x)))
(+.f64 (*.f64 0 (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))) (-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)) (/.f64 x (-.f64 1 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 2 x))) (-.f64 -1 x)))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
✓0.0b
(-.f64 (+.f64 2 x) 1)
✓0.6b
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
✓0.9b
(+.f64 (sqrt.f64 (+.f64 2 x)) -1)
Compiler

Compiled 49 to 40 computations (18.4% saved)

series12.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

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

rewrite147.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
700×prod-diff_binary64
538×log-prod_binary64
391×fma-neg_binary64
352×fma-def_binary64
213×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
125834
2371734
Stop Event
1×node limit
Counts
4 → 300
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 2 x)) -1)
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(-.f64 (+.f64 2 x) 1)
(/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> 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(+.f64 2 x) (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))))))

simplify164.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
671×fma-neg_binary64
333×log-prod_binary64
275×times-frac_binary64
257×associate-*r*_binary64
253×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06839992
116967899
268697899
Stop Event
1×node limit
Counts
324 → 502
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 2) 1)
(-.f64 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1)
(-.f64 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1)
(-.f64 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) 1)
(-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))))) (pow.f64 x 3)) (/.f64 1 (-.f64 (sqrt.f64 2) 1))))) 1)
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(/.f64 1 (-.f64 (sqrt.f64 2) 1))
(+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1)))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (+.f64 (*.f64 -1/8 (/.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (-.f64 (sqrt.f64 2) 1)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1)))))) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1)))))
(-.f64 (sqrt.f64 (+.f64 2 x)) 1)
(-.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (+.f64 x 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 2 x) 1/4) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 x 1)))
(/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 2 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 x) 3) -1) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 (pow.f64 (+.f64 2 x) 2) (+.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2)) (+.f64 1 (-.f64 (+.f64 2 x) (*.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (*.f64 (+.f64 x 3) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 x 3)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (neg.f64 (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(/.f64 (-.f64 1 (+.f64 2 x)) (-.f64 -1 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1) 3))
(expm1.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(expm1.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 -1)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) -1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) -1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) -1)
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(pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) -1)
(neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 2 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 1))
(fma.f64 (+.f64 2 x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 1 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(fma.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) (sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
Outputs
(-.f64 (sqrt.f64 2) 1)
(+.f64 (sqrt.f64 2) -1)
(-.f64 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1)
(+.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) 1))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) -1))
(-.f64 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1)
(+.f64 (sqrt.f64 2) (-.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) -1)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) -1)))
(-.f64 (+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) 1)
(+.f64 (sqrt.f64 2) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1))
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) -1))
(+.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) -1)))
(-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) 1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) -1)
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1))) 1)
(+.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) x (/.f64 1 (+.f64 (sqrt.f64 2) -1))) -1)
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1 (+.f64 (sqrt.f64 2) -1))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) -1))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1)))) 1)
(+.f64 (fma.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) x (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) -1)
(+.f64 (fma.f64 (*.f64 x x) (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) -1)
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1 (+.f64 (sqrt.f64 2) -1))) (fma.f64 x (*.f64 x (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) -1))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))))) (pow.f64 x 3)) (/.f64 1 (-.f64 (sqrt.f64 2) 1))))) 1)
(+.f64 (fma.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) x (fma.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (+.f64 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3) (pow.f64 (sqrt.f64 2) 4))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -1))))))) (pow.f64 x 3) (/.f64 1 (+.f64 (sqrt.f64 2) -1))))) -1)
(fma.f64 (*.f64 x x) (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (fma.f64 (pow.f64 x 3) (-.f64 (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 1/64 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (fma.f64 1/2 (/.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (+.f64 2 (*.f64 (sqrt.f64 2) -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))))) (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) -1))
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (fma.f64 (pow.f64 x 3) (-.f64 (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 1/64 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (fma.f64 1/2 (/.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (+.f64 2 (*.f64 (sqrt.f64 2) -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))))) (/.f64 1 (+.f64 (sqrt.f64 2) -1)))) (fma.f64 x (*.f64 x (-.f64 (fma.f64 1/8 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)) (/.f64 1/8 (pow.f64 (+.f64 (sqrt.f64 2) -1) 3))) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) -1))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(/.f64 1 (-.f64 (sqrt.f64 2) 1))
(/.f64 1 (+.f64 (sqrt.f64 2) -1))
(+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) x (/.f64 1 (+.f64 (sqrt.f64 2) -1)))
(fma.f64 x (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (/.f64 1 (+.f64 (sqrt.f64 2) -1)))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2)))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) (*.f64 (sqrt.f64 2) (-.f64 (sqrt.f64 2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 (sqrt.f64 2) 1) 2))))) x) (/.f64 1 (-.f64 (sqrt.f64 2) 1))))
(fma.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) (*.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) -1))))) (*.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 (sqrt.f64 2) -1)) (/.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 (sqrt.f64 2) -1) 2)))) x (/.f64 1 (+.f64 (sqrt.f64 2) -1))))
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(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
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(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
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(*.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 1))
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(*.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (/.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))))
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(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 3) 1/3)
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(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x))))
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(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) 3))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
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(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 1))
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (+.f64 2 x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (sqrt.f64 (+.f64 2 x)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 1 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 1 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)) 1)
(fma.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4) 1)
(+.f64 1 (pow.f64 (+.f64 2 x) 1/2))
(fma.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)) 1 -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (cbrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)))) (cbrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) (sqrt.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) 1))) -1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (sqrt.f64 (/.f64 (+.f64 2 x) (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 2 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))) 1)
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(+.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(/.f64 (+.f64 1 x) (+.f64 -1 (sqrt.f64 (+.f64 2 x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 2)) (/.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 2 x))))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (+.f64 1 x)) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (*.f64 (sqrt.f64 (+.f64 2 x)) -1)) (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 2 x)) -1))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (-.f64 (+.f64 x 3) (neg.f64 (sqrt.f64 (+.f64 2 x)))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 x 3)) (/.f64 (+.f64 2 x) (+.f64 -1 (pow.f64 (+.f64 2 x) 3/2))) (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 2 x)))))

eval979.0ms (17%)

Compiler

Compiled 40931 to 35662 computations (12.9% saved)

prune555.0ms (9.6%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New129951304
Fresh000
Picked011
Done178
Total1300131313
Error
0b
Counts
1313 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
22.4b
(/.f64 2 (sqrt.f64 2))
27.2b
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (/.f64 (*.f64 (+.f64 x 3) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 x 3)))) 1)
✓27.7b
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
27.8b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))) 1)
✓27.8b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
28.2b
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1)
23.0b
(-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) 1)
✓27.2b
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
✓27.8b
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
✓0.0b
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
✓26.6b
(sqrt.f64 (+.f64 2 x))
✓0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓21.9b
(sqrt.f64 2)
Compiler

Compiled 141 to 123 computations (12.8% saved)

regimes18.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 2 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 2) 1) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(-.f64 (/.f64 1 (-.f64 (sqrt.f64 2) 1)) 1)
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 2))) 1)
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 2 x)))) 1)
(-.f64 (*.f64 (-.f64 -1 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 2 x))))) 1)
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (+.f64 (sqrt.f64 (+.f64 2 x)) -1)) 1)
(-.f64 (/.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1))) 1)
(-.f64 (/.f64 (-.f64 (+.f64 2 x) 1) (/.f64 (*.f64 (+.f64 x 3) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 2 x)) 1) (+.f64 x 3)))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 2 (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Calls

3 calls:

8.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 182 to 152 computations (16.5% saved)

regimes11.0ms (0.2%)

Accuracy

Total -6.6b remaining (-29.9%)

Threshold costs -6.6b (-29.9%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
21.9b1x
Compiler

Compiled 127 to 110 computations (13.4% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness57.0ms (1%)

Algorithm
1×egg-herbie
Rules
633×associate-/l*_binary64
580×associate-*l*_binary64
568×associate-*r*_binary64
505×associate-/r*_binary64
380×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613418
Stop Event
1×node limit
Compiler

Compiled 92 to 70 computations (23.9% saved)

end16.0ms (0.3%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

Profiling

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