Details

Time bar (total: 3.6s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
66.7%50%25%0%0%25%0%4
83.3%62.5%12.5%0%0%25%0%5
91.7%68.7%6.2%0%0%25%0%6
95.8%71.8%3.1%0%0%25%0%7
97.9%73.4%1.6%0%0%25%0%8
99%74.2%0.8%0%0%25%0%9
99.5%74.6%0.4%0%0%25%0%10
99.7%74.8%0.2%0%0%25%0%11
99.9%74.9%0.1%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample735.0ms (20.1%)

Results
720.0ms8253×body256valid
2.0ms3×body2048valid
0.0ms2×body256invalid
Bogosity

preprocess16.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

series7.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms
x
@-inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
859×pow1_binary64
804×log1p-expm1-u_binary64
804×expm1-log1p-u_binary64
803×add-log-exp_binary64
786×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
115727
2228227
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify46.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
736×fma-def_binary64
608×associate-/l*_binary64
595×associate-/r*_binary64
487×unswap-sqr_binary64
204×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02151541
15041363
218481165
Stop Event
1×node limit
Counts
98 → 152
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/16 (pow.f64 x 3) (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 x 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval47.0ms (1.3%)

Compiler

Compiled 2031 to 1545 computations (23.9% saved)

prune21.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1475152
Fresh000
Picked011
Done000
Total1476153
Error
0b
Counts
153 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.6b
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
▶21.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶21.6b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶1.7b
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
▶22.1b
(/.f64 x 2)
Compiler

Compiled 93 to 71 computations (23.7% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
✓0.2b
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
✓1.7b
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series13.0ms (0.4%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
2.0ms
x
@inf
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
1.0ms
x
@-inf
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@inf
(log1p.f64 (sqrt.f64 (+.f64 x 1)))

rewrite57.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
809×pow1_binary64
752×expm1-log1p-u_binary64
751×add-log-exp_binary64
751×log1p-expm1-u_binary64
733×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0831
116329
2208829
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 x 1)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))))))

simplify44.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
647×fma-def_binary64
618×unswap-sqr_binary64
530×associate-/r*_binary64
369×associate-/l*_binary64
308×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01841146
14261051
21565970
Stop Event
1×node limit
Counts
83 → 122
Calls
Call 1
Inputs
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x)))
(+.f64 (*.f64 5/96 (pow.f64 x 3)) (+.f64 (log.f64 2) (+.f64 (*.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (+.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (E.f64) (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 0 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
Outputs
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
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(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1)
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3)
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 2))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 3))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (log.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (hypot.f64 1 (sqrt.f64 x)))

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
831×pow1_binary64
780×add-log-exp_binary64
779×log1p-expm1-u_binary64
779×expm1-log1p-u_binary64
767×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11598
220698
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 1/4 (*.f64 x x)) -4)) (fma.f64 x 1/2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))))))

simplify51.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
760×fma-def_binary64
384×log-prod_binary64
362×log-div_binary64
257×fma-neg_binary64
239×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127650
1324558
21021466
34282459
Stop Event
1×node limit
Counts
45 → 72
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 1/4 (*.f64 x x)) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3))))
(fma.f64 1/32 (pow.f64 x 3) (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))
(fma.f64 x (fma.f64 x -1/8 1/2) (*.f64 1/32 (pow.f64 x 3)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x 1/32 -1/8) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 x)))
(/.f64 (*.f64 x (fma.f64 1/4 (*.f64 x x) (-.f64 4 x))) (+.f64 8 (*.f64 (pow.f64 x 3) 1/8)))
(/.f64 (*.f64 x (-.f64 (fma.f64 (*.f64 x x) 1/4 4) x)) (fma.f64 (pow.f64 x 3) 1/8 8))
(/.f64 (*.f64 x (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)) (fma.f64 (pow.f64 x 3) 1/8 8))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(*.f64 (/.f64 x (+.f64 (*.f64 1/4 (*.f64 x x)) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (fma.f64 1/4 (*.f64 x x) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x 1/4) -4) (fma.f64 1/2 x -2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 22 computations (21.4% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite50.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
968×pow1_binary64
904×log1p-expm1-u_binary64
904×expm1-log1p-u_binary64
903×add-log-exp_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118017
2245717
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 x 1/2) 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2)) (cbrt.f64 (fma.f64 x 1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)))))

simplify43.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
646×associate-/r*_binary64
472×associate-/l*_binary64
431×unswap-sqr_binary64
392×associate-*l/_binary64
317×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0182928
1454888
21535884
Stop Event
1×node limit
Counts
89 → 113
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)
(*.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2)
(pow.f64 (/.f64 (+.f64 (*.f64 x 1/2) 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(*.f64 1 (+.f64 (*.f64 x 1/2) 2))
(*.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 1/2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/2) 2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2)) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))) 2))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))) 2))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 x 1/2 1))))
(/.f64 (*.f64 x (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(*.f64 x (/.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(*.f64 x (/.f64 x (/.f64 (fma.f64 1/2 x 2) (/.f64 1/2 (*.f64 1/2 x)))))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (+.f64 (*.f64 x 1/2) 2) x) -1)
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))))
(/.f64 x (exp.f64 (log1p.f64 (fma.f64 1/2 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2))) 1)
(fma.f64 1/2 x 2)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(*.f64 1 (+.f64 (*.f64 x 1/2) 2))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(fma.f64 1/2 x 2)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 x 1/2 1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 x -1/2) -1))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 x 1/2 1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 x -1/2) -1))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 x 1/2 1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 x -1/2) -1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (neg.f64 (*.f64 1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x -1/2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 x -1/2 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 x 1/2 1)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 x -1/2) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (*.f64 1/2 x) (*.f64 1/2 x)))
(pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(fma.f64 1/2 x 2)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3) 1/3)
(fma.f64 1/2 x 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 3)
(fma.f64 1/2 x 2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)
(fma.f64 1/2 x 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 2))
(fma.f64 1/2 x 2)
(log.f64 (exp.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/2) 2))))
(fma.f64 1/2 x 2)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3))
(fma.f64 1/2 x 2)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2)) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2)) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 1/2 x 2)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.2b
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
✓0.2b
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
✓3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
Compiler

Compiled 34 to 25 computations (26.5% saved)

series6.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

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

rewrite72.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
925×pow1_binary64
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
869×add-log-exp_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
118725
2291125
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))))

simplify59.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
522×fma-def_binary64
442×unswap-sqr_binary64
360×distribute-rgt-in_binary64
233×cancel-sign-sub-inv_binary64
227×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02402506
15861920
225741916
Stop Event
1×node limit
Counts
158 → 156
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)))
(/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/16 x) -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 x (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)) (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2)) (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))

eval294.0ms (8.1%)

Compiler

Compiled 7697 to 5641 computations (26.7% saved)

prune126.0ms (3.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5445549
Fresh000
Picked101
Done145
Total5469555
Error
0b
Counts
555 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.7b
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓21.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓21.6b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓22.1b
(/.f64 x 2)
▶61.7b
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
▶37.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
▶21.6b
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
60.7b
2
Compiler

Compiled 72 to 56 computations (22.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
835×add-log-exp_binary64
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
821×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119316
2232416
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 1/2 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 1/2 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 1/2 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))))))

simplify114.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
578×unswap-sqr_binary64
415×times-frac_binary64
399×fma-neg_binary64
358×fma-def_binary64
340×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0166997
1410855
21330714
35763714
Stop Event
1×node limit
Counts
70 → 104
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 1/2 2) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 1/2 2) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x 1) (fma.f64 x 1/2 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (fma.f64 x 1/2 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/32 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/32 (pow.f64 x 3) (*.f64 -1/128 (pow.f64 x 4))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/32 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (*.f64 (*.f64 x x) 1/32))
(fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/32 1/2))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/32 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/128)))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 (*.f64 x x) 1/32 (*.f64 (pow.f64 x 3) -1/128)))
(fma.f64 x -1/8 (fma.f64 x (*.f64 x 1/32) (fma.f64 (pow.f64 x 3) -1/128 1/2)))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -8 x) x))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x))) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))) (/.f64 (/.f64 -8 x) x)))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -8 x) x))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 -8 (*.f64 x x))) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 x (fma.f64 x 1/2 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x 1/2 2) (cbrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x 1/2 2) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x 1) (fma.f64 x 1/2 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))
(/.f64 (*.f64 1 (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))) (+.f64 8 (*.f64 (pow.f64 x 3) 1/8)))
(/.f64 (fma.f64 x (*.f64 x 1/4) (-.f64 4 x)) (fma.f64 (pow.f64 x 3) 1/8 8))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 4) x) (fma.f64 (pow.f64 x 3) 1/8 8))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 x 1/2 -2))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(pow.f64 (fma.f64 x 1/2 2) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/2 2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 1 (fma.f64 1/2 x 2)) 0)
(/.f64 1 (fma.f64 1/2 x 2))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
Compiler

Compiled 16 to 12 computations (25% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
✓0.4b
(/.f64 32 (*.f64 x x))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 32 (*.f64 x x))
0.0ms
x
@inf
(/.f64 32 (*.f64 x x))
0.0ms
x
@0
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
0.0ms
x
@inf
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
0.0ms
x
@-inf
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))

rewrite82.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
482×log-prod_binary64
371×fma-def_binary64
316×pow-prod-down_binary64
296×pow2_binary64
222×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123720
2341620
Stop Event
1×node limit
Counts
2 → 175
Calls
Call 1
Inputs
(/.f64 32 (*.f64 x x))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 32 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 32 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 32 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) (cbrt.f64 (*.f64 1024 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1024 (pow.f64 x -4))) (cbrt.f64 (*.f64 32 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 32) x) (/.f64 (sqrt.f64 32) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -32 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 32 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 32 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1024 (pow.f64 x -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 32) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 32768 (pow.f64 x -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/32) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) 1/32) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1024 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 32 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 32768 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 32 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 32 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 32 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 32768 (pow.f64 x -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/32)) -1))))))
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simplify87.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
568×associate-/l*_binary64
540×distribute-rgt-in_binary64
513×distribute-lft-in_binary64
264×fma-neg_binary64
196×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03874504
19854120
229393807
Stop Event
1×node limit
Counts
199 → 244
Calls
Call 1
Inputs
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (pow.f64 x 2))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 0 (*.f64 32 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2)))) 1)
(*.f64 32 (pow.f64 x -2))
(*.f64 (*.f64 32 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 32 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) (cbrt.f64 (*.f64 1024 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (*.f64 1024 (pow.f64 x -4))) (cbrt.f64 (*.f64 32 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 32) x) (/.f64 (sqrt.f64 32) x))
(*.f64 -32 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 32)
(*.f64 (/.f64 32 x) (/.f64 1 x))
(pow.f64 (*.f64 32 (pow.f64 x -2)) 1)
(pow.f64 (*.f64 1024 (pow.f64 x -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 32) x) 2)
(pow.f64 (*.f64 32768 (pow.f64 x -6)) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 1/32) -1)
(pow.f64 (/.f64 (*.f64 (*.f64 x x) 1/32) 1) -1)
(sqrt.f64 (*.f64 1024 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 32 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 32768 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 32 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 32 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 32 (pow.f64 x -2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 32) x)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 32768 (pow.f64 x -6))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/32)) -1))
(+.f64 (*.f64 32 (pow.f64 x -2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (*.f64 32 (pow.f64 x -2)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))
(+.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 1))
(+.f64 (fma.f64 32 (pow.f64 x -2) 2) (/.f64 -8 x))
(+.f64 (fma.f64 32 (pow.f64 x -2) 2) (*.f64 (/.f64 -8 x) 1))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (neg.f64 (/.f64 1 x)) 8 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (/.f64 -8 x) 1 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (neg.f64 (/.f64 2 (cbrt.f64 x))) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (+.f64 (/.f64 -8 x) (/.f64 8 x)))
(+.f64 (/.f64 -8 x) (fma.f64 32 (pow.f64 x -2) 2))
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(+.f64 0 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))))
(*.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) 1)
(*.f64 1 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) 2) (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) (sqrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))
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(fma.f64 (sqrt.f64 (/.f64 -8 x)) (sqrt.f64 (/.f64 -8 x)) (fma.f64 32 (pow.f64 x -2) 2))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 8 x))) (sqrt.f64 (/.f64 8 x)) (fma.f64 32 (pow.f64 x -2) 2))
(fma.f64 -1 (/.f64 8 x) (fma.f64 32 (pow.f64 x -2) 2))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 32) x) (sqrt.f64 (/.f64 8 x))) (-.f64 (/.f64 (sqrt.f64 32) x) (sqrt.f64 (/.f64 8 x))) 2)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 8 (/.f64 8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (fma.f64 (/.f64 -8 x) 1 (/.f64 8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (fma.f64 (neg.f64 (/.f64 2 (cbrt.f64 x))) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (+.f64 (/.f64 -8 x) (/.f64 8 x)))
(fma.f64 (neg.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 32 (pow.f64 x -2) 2))
Outputs
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 (/.f64 32 x) -8) x)
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 0 (*.f64 32 (pow.f64 x -2)))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2)))) 1)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(*.f64 32 (pow.f64 x -2))
(/.f64 32 (*.f64 x x))
(*.f64 (*.f64 32 (pow.f64 x -2)) 1)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(*.f64 1 (*.f64 32 (pow.f64 x -2)))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) (cbrt.f64 (*.f64 1024 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (*.f64 1024 (pow.f64 x -4))) (cbrt.f64 (*.f64 32 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) (cbrt.f64 (*.f64 1024 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 32) x) (/.f64 (sqrt.f64 32) x))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(*.f64 -32 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -32 (neg.f64 (*.f64 x x)))
(/.f64 -32 (*.f64 x (neg.f64 x)))
(*.f64 (pow.f64 x -2) 32)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(*.f64 (/.f64 32 x) (/.f64 1 x))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(pow.f64 (*.f64 32 (pow.f64 x -2)) 1)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(pow.f64 (*.f64 1024 (pow.f64 x -4)) 1/2)
(sqrt.f64 (*.f64 1024 (pow.f64 x -4)))
(pow.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2))) 3)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 32) x) 2)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(pow.f64 (*.f64 32768 (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 32768 (pow.f64 x -6)))
(pow.f64 (*.f64 (*.f64 x x) 1/32) -1)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) 1/32) 1) -1)
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(sqrt.f64 (*.f64 1024 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 32) (pow.f64 x -2)))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 32 (pow.f64 x -2)))))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(cbrt.f64 (*.f64 32768 (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 32 (pow.f64 x -2))))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 32 (pow.f64 x -2))))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 32 (pow.f64 x -2))))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 32 (pow.f64 x -2))) 1))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 32 (pow.f64 x -2)))) 3))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 32) x)) 2))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 32768 (pow.f64 x -6))) 1/3))
(cbrt.f64 (*.f64 32768 (pow.f64 x -6)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/32)) -1))
(/.f64 32 (*.f64 x x))
(*.f64 32 (pow.f64 x -2))
(+.f64 (*.f64 32 (pow.f64 x -2)) (-.f64 2 (/.f64 8 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (*.f64 32 (pow.f64 x -2)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 1))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (fma.f64 32 (pow.f64 x -2) 2) (/.f64 -8 x))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (fma.f64 32 (pow.f64 x -2) 2) (*.f64 (/.f64 -8 x) 1))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (neg.f64 (/.f64 1 x)) 8 (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x))))
(+.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (+.f64 (/.f64 8 x) (/.f64 -8 x)))
(+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (+.f64 2 (*.f64 (pow.f64 x -1) 0)))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (/.f64 -8 x) 1 (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x))))
(+.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (+.f64 (/.f64 8 x) (/.f64 -8 x)))
(+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (+.f64 2 (*.f64 (pow.f64 x -1) 0)))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (fma.f64 (neg.f64 (/.f64 2 (cbrt.f64 x))) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (fma.f64 (/.f64 -2 (cbrt.f64 x)) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 8 x))))
(+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (+.f64 2 (fma.f64 (/.f64 -2 (cbrt.f64 x)) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 8 x))))
(+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (+.f64 2 (-.f64 (/.f64 8 x) (pow.f64 (/.f64 2 (cbrt.f64 x)) 3))))
(+.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) (+.f64 (/.f64 -8 x) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x))))
(+.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (+.f64 (/.f64 8 x) (/.f64 -8 x)))
(+.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) (+.f64 2 (*.f64 (pow.f64 x -1) 0)))
(+.f64 (/.f64 -8 x) (fma.f64 32 (pow.f64 x -2) 2))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 0 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))))))
(*.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)) 1)
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 1 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) 2))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) 2) (cbrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))) (sqrt.f64 (+.f64 2 (/.f64 (-.f64 (/.f64 32 x) 8) x))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 (-.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 512 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 8 x) (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x))) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 -512 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 8 x) (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x))) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 (pow.f64 x -3) -512)) (fma.f64 (/.f64 8 x) (+.f64 (/.f64 8 x) (fma.f64 32 (pow.f64 x -2) 2)) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2)))
(*.f64 (-.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2) (*.f64 64 (pow.f64 x -2))) (/.f64 1 (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2) (*.f64 -64 (pow.f64 x -2))) (/.f64 1 (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2) (*.f64 (pow.f64 x -2) -64)) (+.f64 (/.f64 8 x) (fma.f64 32 (pow.f64 x -2) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 8 x) (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x))) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2)) (-.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 512 (pow.f64 x -3)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 -512 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 8 x) (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x))) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 3) (*.f64 (pow.f64 x -3) -512)) (fma.f64 (/.f64 8 x) (+.f64 (/.f64 8 x) (fma.f64 32 (pow.f64 x -2) 2)) (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2)))
(/.f64 1 (/.f64 (+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 8 x))) (-.f64 (pow.f64 (fma.f64 32 (pow.f64 x -2) 2) 2) (*.f64 64 (pow.f64 x -2)))))
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(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (/.f64 8 x) (pow.f64 (/.f64 2 (cbrt.f64 x)) 3)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (+.f64 (/.f64 -8 x) (/.f64 8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (fma.f64 (/.f64 -1 x) 8 (/.f64 8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (+.f64 (/.f64 8 x) (/.f64 -8 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (-.f64 (sqrt.f64 (fma.f64 32 (pow.f64 x -2) 2)) (sqrt.f64 (/.f64 8 x))) (*.f64 (pow.f64 x -1) 0))
(fma.f64 (neg.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 32 (pow.f64 x -2) 2))
(fma.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) (/.f64 -2 (cbrt.f64 x)) (fma.f64 32 (pow.f64 x -2) 2))
(-.f64 (fma.f64 32 (pow.f64 x -2) 2) (pow.f64 (/.f64 2 (cbrt.f64 x)) 3))

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 x)
✓0.2b
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
✓0.2b
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series10.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
2.0ms
x
@inf
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
1.0ms
x
@inf
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
1.0ms
x
@-inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
1.0ms
x
@inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

rewrite89.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
790×pow1_binary64
737×add-log-exp_binary64
737×expm1-log1p-u_binary64
736×log1p-expm1-u_binary64
720×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
116930
2229730
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(log1p.f64 x)
Outputs
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1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 x 1) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))

simplify98.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
339×log-prod_binary64
264×cancel-sign-sub-inv_binary64
231×cube-prod_binary64
229×fma-neg_binary64
221×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03563899
19833165
240082440
Stop Event
1×node limit
Counts
181 → 218
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
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(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) 1))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1)))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1)))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1)
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) -1)
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) -1/2))) -1)
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -1))
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (*.f64 -1/8 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))) -1)
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (fma.f64 (/.f64 -1/8 x) (/.f64 (sqrt.f64 x) x) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 -1/8 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))) -1)
(+.f64 -1 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 x) (pow.f64 x 3)) (fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 x) x) x) (sqrt.f64 x))) (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) -1))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) 1))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (-.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1)))
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1)))
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1)
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) -1)
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) -1/2))) -1)
(+.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -1))
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)) (expm1.f64 (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (*.f64 -1/8 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))) -1)
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (fma.f64 (/.f64 -1/8 x) (/.f64 (sqrt.f64 x) x) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 -1/8 (pow.f64 (exp.f64 1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 x x))))) -1)
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(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1)
(+.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 0)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)

eval387.0ms (10.6%)

Compiler

Compiled 13903 to 10763 computations (22.6% saved)

prune185.0ms (5.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New6933696
Fresh011
Picked101
Done077
Total69411705
Error
0b
Counts
705 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓21.6b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓22.1b
(/.f64 x 2)
✓61.7b
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
✓37.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
▶61.7b
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
▶60.7b
(*.f64 (/.f64 2 x) x)
✓21.6b
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
▶1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.7b
2
Compiler

Compiled 84 to 66 computations (21.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 x)
1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
529×pow1_binary64
515×add-sqr-sqrt_binary64
493×add-log-exp_binary64
493×log1p-expm1-u_binary64
493×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
213427
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (/.f64 2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x x))))))))

simplify32.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
600×times-frac_binary64
423×associate-/l*_binary64
409×distribute-rgt-neg-in_binary64
385×distribute-lft-neg-in_binary64
309×distribute-neg-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05533
115933
229733
374033
4415833
Stop Event
1×node limit
Counts
33 → 22
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x x))) 1)
(/.f64 2 (/.f64 x x))
(/.f64 x (*.f64 x 1/2))
(/.f64 1 (/.f64 x (*.f64 2 x)))
(/.f64 (*.f64 2 x) x)
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 2 x) 1) x)
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 -2 x) (neg.f64 x))
(/.f64 (*.f64 x -2) (neg.f64 x))
(pow.f64 (*.f64 2 (/.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x x))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x x))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x x))))
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x x))) 1)
2
(/.f64 2 (/.f64 x x))
2
(/.f64 x (*.f64 x 1/2))
2
(/.f64 1 (/.f64 x (*.f64 2 x)))
2
(/.f64 (*.f64 2 x) x)
2
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 x))
2
(/.f64 (/.f64 (*.f64 2 x) 1) x)
2
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
2
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
2
(/.f64 (*.f64 -2 x) (neg.f64 x))
2
(/.f64 (*.f64 x -2) (neg.f64 x))
2
(pow.f64 (*.f64 2 (/.f64 x x)) 1)
2
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3) 1/3)
2
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x x))) 3)
2
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x x))) 2)
2
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 2))
2
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 x)))
2
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x x)) 3))
2
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x x))))
2
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x x))))
2
(exp.f64 (log.f64 (*.f64 2 (/.f64 x x))))
2

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 32 x) 8)
✓0.1b
(/.f64 (-.f64 (/.f64 32 x) 8) x)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 (/.f64 32 x) 8) x)
1.0ms
x
@-inf
(/.f64 (-.f64 (/.f64 32 x) 8) x)
1.0ms
x
@0
(/.f64 (-.f64 (/.f64 32 x) 8) x)
0.0ms
x
@0
(-.f64 (/.f64 32 x) 8)
0.0ms
x
@inf
(-.f64 (/.f64 32 x) 8)

rewrite48.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
940×pow1_binary64
892×add-log-exp_binary64
892×log1p-expm1-u_binary64
892×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116817
2229717
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 32 x) 8) x)
(-.f64 (/.f64 32 x) 8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 32 (*.f64 x x)) (neg.f64 (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 32 x) -8) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 32 x) -8) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 32 x)) 8) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 32 x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 32 x) -8) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 32 x) -8) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 32 x) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 32 x) -8) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 32 x) -8)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -8 (/.f64 32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 32 x) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 32 x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (cbrt.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 (/.f64 32 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))) (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 32 x) 8) (+.f64 (/.f64 1024 (*.f64 x x)) -64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (-.f64 64 (*.f64 (/.f64 32 x) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 (/.f64 32 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (-.f64 (/.f64 32 x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)) (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64)) (neg.f64 (+.f64 (/.f64 32 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 32 x) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 32 x) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 32 x) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 32 (/.f64 1 x) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 32 x) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 32 x)) 2) (cbrt.f64 (/.f64 32 x)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 32 x)) (sqrt.f64 (/.f64 32 x)) -8)))))

simplify53.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
631×associate-/l*_binary64
612×times-frac_binary64
452×associate-*l/_binary64
405×unswap-sqr_binary64
279×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01681103
1379947
21511947
Stop Event
1×node limit
Counts
90 → 85
Calls
Call 1
Inputs
(/.f64 32 (pow.f64 x 2))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(/.f64 -8 x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(/.f64 -8 x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(/.f64 32 x)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
-8
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
-8
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 (/.f64 32 (*.f64 x x)) (neg.f64 (/.f64 8 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))) 1)
(*.f64 (+.f64 (/.f64 32 x) -8) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 32 x) -8) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(*.f64 (+.f64 (neg.f64 (/.f64 32 x)) 8) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 32 x) -8))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 32 x) -8) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 32 x) -8) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 x)))
(pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2)
(pow.f64 (/.f64 x (+.f64 (/.f64 32 x) -8)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 32 x) -8) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(+.f64 (/.f64 32 x) -8)
(+.f64 -8 (/.f64 32 x))
(*.f64 (+.f64 (/.f64 32 x) -8) 1)
(*.f64 1 (+.f64 (/.f64 32 x) -8))
(*.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (cbrt.f64 (+.f64 (/.f64 32 x) -8)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 (+.f64 (/.f64 32 x) -8)))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 (/.f64 32 x) 8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))) (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)))
(/.f64 1 (/.f64 (+.f64 (/.f64 32 x) 8) (+.f64 (/.f64 1024 (*.f64 x x)) -64)))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (-.f64 64 (*.f64 (/.f64 32 x) -8))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 (/.f64 32 x) 8))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (-.f64 (/.f64 32 x) -8))
(/.f64 (neg.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)) (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64)) (neg.f64 (+.f64 (/.f64 32 x) 8)))
(pow.f64 (+.f64 (/.f64 32 x) -8) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 32 x) -8)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 32 x) -8))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 32 x) -8)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 32 x) -8)))
(exp.f64 (log.f64 (+.f64 (/.f64 32 x) -8)))
(fma.f64 32 (/.f64 1 x) -8)
(fma.f64 1 (/.f64 32 x) -8)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 32 x)) 2) (cbrt.f64 (/.f64 32 x)) -8)
(fma.f64 (sqrt.f64 (/.f64 32 x)) (sqrt.f64 (/.f64 32 x)) -8)
Outputs
(/.f64 32 (pow.f64 x 2))
(/.f64 32 (*.f64 x x))
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(/.f64 -8 x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(/.f64 -8 x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(/.f64 32 x)
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
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(+.f64 -8 (/.f64 32 x))
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
-8
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
-8
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
(-.f64 (*.f64 32 (/.f64 1 x)) 8)
(+.f64 -8 (/.f64 32 x))
(+.f64 (/.f64 32 (*.f64 x x)) (neg.f64 (/.f64 8 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))) 1)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
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(*.f64 (+.f64 (/.f64 32 x) -8) (/.f64 1 x))
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(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (/.f64 1 x)))
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(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2))
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(*.f64 (+.f64 (neg.f64 (/.f64 32 x)) 8) (/.f64 1 (neg.f64 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
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(*.f64 (/.f64 1 x) (+.f64 (/.f64 32 x) -8))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -8 (/.f64 32 x)) (cbrt.f64 x)))
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(/.f64 (+.f64 -8 (/.f64 32 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
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(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) x))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) x))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -8 (/.f64 32 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -8 (/.f64 32 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 -8 (/.f64 32 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -8 (/.f64 32 x))) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -8 (/.f64 32 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 -8 (/.f64 32 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 -8 (/.f64 32 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 1)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3) 1/3)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 3)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)) 2)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(pow.f64 (/.f64 x (+.f64 (/.f64 32 x) -8)) -1)
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(neg.f64 (/.f64 (+.f64 (/.f64 32 x) -8) (neg.f64 x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 2))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x))))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x) 3))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) (pow.f64 x 3)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 32 x) -8) x)))
(-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))
(/.f64 (+.f64 -8 (/.f64 32 x)) x)
(+.f64 (/.f64 32 x) -8)
(+.f64 -8 (/.f64 32 x))
(+.f64 -8 (/.f64 32 x))
(*.f64 (+.f64 (/.f64 32 x) -8) 1)
(+.f64 -8 (/.f64 32 x))
(*.f64 1 (+.f64 (/.f64 32 x) -8))
(+.f64 -8 (/.f64 32 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2))
(+.f64 -8 (/.f64 32 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 2) (cbrt.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) (sqrt.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (+.f64 (/.f64 1024 (*.f64 x x)) 64) (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 1024 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 (/.f64 1024 x) x))))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 (/.f64 32 x) 8)))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 8 (/.f64 32 x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 (/.f64 1024 x) x) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))) (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (+.f64 (/.f64 1024 (*.f64 x x)) 64) (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 1024 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 (/.f64 1024 x) x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 32 x) 8) (+.f64 (/.f64 1024 (*.f64 x x)) -64)))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 8 (/.f64 32 x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 (/.f64 1024 x) x) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x))))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (+.f64 (/.f64 1024 (*.f64 x x)) 64) (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 1024 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 (/.f64 1024 x) x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 (/.f64 1024 (*.f64 x x)) (-.f64 64 (*.f64 (/.f64 32 x) -8))))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (+.f64 (/.f64 1024 (*.f64 x x)) 64) (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 1024 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 (/.f64 1024 x) x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 (/.f64 32 x) 8))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 8 (/.f64 32 x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 (/.f64 1024 x) x) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (-.f64 (/.f64 32 x) -8))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 8 (/.f64 32 x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 (/.f64 1024 x) x) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512)) (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) (+.f64 64 (/.f64 256 x)))))
(*.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (/.f64 1 (+.f64 (+.f64 (/.f64 1024 (*.f64 x x)) 64) (/.f64 256 x))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 1024 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 32768 (pow.f64 x 3)) -512) (+.f64 64 (+.f64 (/.f64 256 x) (/.f64 (/.f64 1024 x) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64)) (neg.f64 (+.f64 (/.f64 32 x) 8)))
(*.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (/.f64 1 (+.f64 8 (/.f64 32 x))))
(/.f64 (+.f64 (/.f64 1024 (*.f64 x x)) -64) (+.f64 8 (/.f64 32 x)))
(/.f64 (+.f64 (/.f64 (/.f64 1024 x) x) -64) (+.f64 8 (/.f64 32 x)))
(pow.f64 (+.f64 (/.f64 32 x) -8) 1)
(+.f64 -8 (/.f64 32 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3) 1/3)
(+.f64 -8 (/.f64 32 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 32 x) -8)) 3)
(+.f64 -8 (/.f64 32 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 32 x) -8)) 2)
(+.f64 -8 (/.f64 32 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 2))
(+.f64 -8 (/.f64 32 x))
(log.f64 (exp.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 32 x) -8))))
(+.f64 -8 (/.f64 32 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 32 x) -8) 3))
(+.f64 -8 (/.f64 32 x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(exp.f64 (log.f64 (+.f64 (/.f64 32 x) -8)))
(+.f64 -8 (/.f64 32 x))
(fma.f64 32 (/.f64 1 x) -8)
(+.f64 -8 (/.f64 32 x))
(fma.f64 1 (/.f64 32 x) -8)
(+.f64 -8 (/.f64 32 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 32 x)) 2) (cbrt.f64 (/.f64 32 x)) -8)
(+.f64 -8 (/.f64 32 x))
(fma.f64 (sqrt.f64 (/.f64 32 x)) (sqrt.f64 (/.f64 32 x)) -8)
(+.f64 -8 (/.f64 32 x))

eval108.0ms (3%)

Compiler

Compiled 3688 to 2778 computations (24.7% saved)

prune66.0ms (1.8%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New2492251
Fresh011
Picked011
Done099
Total24913262
Error
0b
Counts
262 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓21.6b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓22.1b
(/.f64 x 2)
✓61.7b
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
✓37.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
61.7b
(+.f64 (/.f64 (/.f64 32 x) x) 2)
✓61.7b
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
41.5b
(+.f64 -1 (sqrt.f64 x))
✓60.7b
(*.f64 (/.f64 2 x) x)
✓21.6b
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
✓1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.7b
2
Compiler

Compiled 97 to 76 computations (21.6% saved)

regimes32.0ms (0.9%)

Counts
16 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (/.f64 2 x) x)
(+.f64 (/.f64 (/.f64 32 x) x) 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

18.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
10.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 123 to 90 computations (26.8% saved)

regimes33.0ms (0.9%)

Counts
11 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (/.f64 2 x) x)
(+.f64 (/.f64 (/.f64 32 x) x) 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
0.5b2x
Compiler

Compiled 74 to 55 computations (25.7% saved)

bsearch43.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
43.0ms
9.509276418862053e-11
0.00027980696147772763
Results
41.0ms144×body256valid
Compiler

Compiled 166 to 136 computations (18.1% saved)

regimes27.0ms (0.7%)

Counts
10 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (/.f64 2 x) x)
(+.f64 (/.f64 (/.f64 32 x) x) 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 -1 (sqrt.f64 x))
Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
Compiler

Compiled 68 to 50 computations (26.5% saved)

bsearch12.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
12.0ms
0.307604418829556
6.611750182900253
Results
10.0ms112×body256valid
Compiler

Compiled 132 to 108 computations (18.2% saved)

regimes33.0ms (0.9%)

Counts
9 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (/.f64 2 x) x)
(+.f64 (/.f64 (/.f64 32 x) x) 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(+.f64 (/.f64 (-.f64 (/.f64 32 x) 8) x) 2)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
21.6b1x
Compiler

Compiled 64 to 47 computations (26.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -39.6b remaining (-179.4%)

Threshold costs -39.6b (-179.4%)

Counts
4 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (/.f64 2 x) x)
(+.f64 (/.f64 (/.f64 32 x) x) 2)
Outputs
(/.f64 x 2)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
22.1b1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02777
13877
23977
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 8028023020878397/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 8028023020878397/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(if (<=.f64 x 8028023020878397/590295810358705651712) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 x)))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 59 to 46 computations (22% saved)

soundness0.0ms (0%)

end46.0ms (1.3%)

Compiler

Compiled 54 to 41 computations (24.1% saved)

Profiling

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