Details

Time bar (total: 4.5s)

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)

sample1.1s (23.3%)

Results
1.0s8253×body256valid
1.0ms3×body2048valid
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)

simplify7.0ms (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)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Counts
3 → 12
Calls

9 calls:

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

rewrite56.0ms (1.2%)

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))))
(sqrt.f64 (+.f64 x 1))
(+.f64 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 (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))))))
((#(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)))))

simplify49.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02151541
15041363
218491165
Stop Event
1×node limit
Counts
98 → 147
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)))))
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)))))
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 (+.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 (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))
(-.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)
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 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 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/16) -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 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -5/128 (pow.f64 x 4)))))
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 -1/8 (*.f64 x x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
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 (+.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (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 (+.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))))
(*.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 (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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 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 (/.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 (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 (/.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 (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 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 (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 (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 (/.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 (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 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 (sqrt.f64 (+.f64 x 1))))
(*.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 (sqrt.f64 (+.f64 x 1))))
(*.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 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (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 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1))))
(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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.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)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(-.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 (sqrt.f64 (+.f64 x 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 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.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 (sqrt.f64 (+.f64 x 1)))
(*.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 (sqrt.f64 (+.f64 x 1)))
(*.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 (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 2 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.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 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.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 (*.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 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -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 (+.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 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -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 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(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 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(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 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 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 (sqrt.f64 (+.f64 x 1)))

eval49.0ms (1.1%)

Compiler

Compiled 1950 to 1492 computations (23.5% saved)

prune58.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1407147
Fresh000
Picked011
Done000
Total1408148
Error
0b
Counts
148 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
22.5b
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
▶0.3b
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
▶21.0b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶21.0b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶21.4b
(/.f64 x 2)
▶38.5b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
7.7b
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
Compiler

Compiled 145 to 113 computations (22.1% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 35 to 27 computations (22.9% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite59.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
424×prod-diff_binary64
416×log-prod_binary64
312×exp-prod_binary64
279×fma-def_binary64
267×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
119924
2274324
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 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(sqrt.f64 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) -1))))))

simplify79.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
473×fma-def_binary64
415×associate-/l*_binary64
355×times-frac_binary64
320×associate-*l/_binary64
316×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02751798
16391674
218491658
377541658
Stop Event
1×node limit
Counts
111 → 161
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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) -1/2))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 2))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1/2) 2))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -2)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) -1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 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))
(*.f64 x (fma.f64 x -1/8 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 (fma.f64 x -1/8 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)))))
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x))))
(+.f64 (fma.f64 (*.f64 x x) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (fma.f64 x (*.f64 x 1/16) (/.f64 2 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.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 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.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 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.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 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) -2))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.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 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 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 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 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)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1/3))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) -1/2))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 3))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 2))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1) -1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1/2) 2))
(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 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 x -1)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 1 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 1 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 1 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -3) -1/6) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -3) -1/6))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2) 1/2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) -3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 3)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) -2)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) -1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 1/3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) 2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1) 1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) -1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) x)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (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)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (1%)

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))))))))

simplify41.0ms (0.9%)

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))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 22 computations (21.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (1.1%)

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

simplify68.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
652×associate-/r*_binary64
489×associate-/l*_binary64
433×unswap-sqr_binary64
393×associate-*l/_binary64
321×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0180925
1449882
21530878
Stop Event
1×node limit
Counts
89 → 110
Calls
Call 1
Inputs
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 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 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))
(*.f64 1 (+.f64 (*.f64 1/2 x) 2))
(*.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.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 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))
(pow.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/2 x) 2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2)))
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) 1)
(*.f64 1 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))
(*.f64 x (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 0 (*.f64 1/2 x)))
(pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2)
(pow.f64 (/.f64 (+.f64 (*.f64 1/2 x) 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 1/2 x) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 1/2 x 1))))
Outputs
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 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 (*.f64 -1/8 x) 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 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/32 x) -1/8)))
(+.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 1/2 x (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/32 (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 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 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 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2))) 1)
(fma.f64 1/2 x 2)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(*.f64 1 (+.f64 (*.f64 1/2 x) 2))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(fma.f64 1/2 x 2)
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)))
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 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 1/2 (*.f64 x (fma.f64 1/2 x 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 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 1/2 (*.f64 x (fma.f64 1/2 x 1)) 1))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 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 1/2 (*.f64 x (fma.f64 1/2 x 1)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (neg.f64 (*.f64 1/2 x)) (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (*.f64 x -1/2) (pow.f64 (fma.f64 1/2 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 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 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 1/2 (*.f64 x (fma.f64 1/2 x 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 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 (/.f64 -2 x) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(pow.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(fma.f64 1/2 x 2)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3) 1/3)
(fma.f64 1/2 x 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 3)
(fma.f64 1/2 x 2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)
(fma.f64 1/2 x 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 2))
(fma.f64 1/2 x 2)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 x) 2)))
(fma.f64 1/2 x 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/2 x) 2))))
(fma.f64 1/2 x 2)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3))
(fma.f64 1/2 x 2)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) 2)))
(fma.f64 1/2 x 2)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/2 x) 2)))
(fma.f64 1/2 x 2)
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(+.f64 1 (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(+.f64 1 (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(+.f64 1 (fma.f64 1/2 x 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) 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 1/2 x) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 x) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 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 (*.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 1/2 x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (+.f64 1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))
(*.f64 (+.f64 1 (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1))) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(*.f64 (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(*.f64 x (/.f64 (fma.f64 1/2 (*.f64 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 1/2 x 1) 2))) (-.f64 0 (*.f64 1/2 x)))
(*.f64 (neg.f64 (*.f64 1/2 x)) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(*.f64 (*.f64 x -1/2) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)))
(pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (+.f64 (*.f64 1/2 x) 2) x) -1)
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2)) 3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 1/2 x) 2) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 1/2 x) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 1/2 x 1))))
(/.f64 x (exp.f64 (log1p.f64 (fma.f64 1/2 x 1))))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓3.9b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
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
@0
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

rewrite40.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
723×pow1_binary64
674×add-log-exp_binary64
674×log1p-expm1-u_binary64
674×expm1-log1p-u_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11489
218909
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))))) (#(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 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -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 /.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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)))))

simplify64.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
639×distribute-rgt-in_binary64
585×distribute-lft-in_binary64
416×times-frac_binary64
307×associate-*l*_binary64
305×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095699
1237597
2741538
33555433
Stop Event
1×node limit
Counts
35 → 54
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 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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 x -1/8)))
(+.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 -1/8 (*.f64 x 1/16))))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -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 x (*.f64 x -1/8) (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 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x (+.f64 1/16 (*.f64 -5/128 x))))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -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 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (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 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

eval291.0ms (6.4%)

Compiler

Compiled 7339 to 5749 computations (21.7% saved)

prune93.0ms (2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5274531
Fresh112
Picked011
Done235
Total5309539
Error
0b
Counts
539 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.1b
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
✓21.0b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓21.4b
(/.f64 x 2)
▶0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
✓38.5b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶7.7b
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
▶22.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
60.8b
2
Compiler

Compiled 80 to 64 computations (20% saved)

localize27.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 (*.f64 x 1/16) -1/8))
✓0.1b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
1.0ms
x
@-inf
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
0.0ms
x
@0
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
0.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 x 1/16) -1/8))
0.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 x 1/16) -1/8))

rewrite73.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
588×prod-diff_binary64
531×log-prod_binary64
363×pow-prod-down_binary64
313×fma-def_binary64
292×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
123620
2322420
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
(*.f64 x (+.f64 (*.f64 x 1/16) -1/8))
Outputs
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1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/16) (*.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (*.f64 x x) (*.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/16) x (*.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 x (*.f64 1/16 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/8) (*.f64 1/16 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/16 (*.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/256)) (*.f64 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fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/16 (*.f64 x x)))))))

simplify55.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
580×distribute-rgt-in_binary64
540×distribute-lft-in_binary64
383×unswap-sqr_binary64
235×cancel-sign-sub-inv_binary64
197×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02732209
16981737
221211703
Stop Event
1×node limit
Counts
128 → 157
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 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(+.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 1/16 (pow.f64 x 3))))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(+.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 1/16 (pow.f64 x 3))))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 1/16 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(+.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) (*.f64 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2) (*.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) (exp.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 1))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)) (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 1 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) (*.f64 x 1/2))
(fma.f64 (*.f64 x x) (fma.f64 x 1/16 -1/8) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) x) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) x) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) (sqrt.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))
(+.f64 (*.f64 x -1/8) (*.f64 1/16 (*.f64 x x)))
(+.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8))
(+.f64 0 (*.f64 x (fma.f64 x 1/16 -1/8)))
(+.f64 (*.f64 (*.f64 1/16 (*.f64 x x)) 1) (*.f64 (*.f64 x -1/8) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/16 (*.f64 x x)) 3) (pow.f64 (*.f64 x -1/8) 3)) (+.f64 (pow.f64 (*.f64 1/16 (*.f64 x x)) 2) (-.f64 (pow.f64 (*.f64 x -1/8) 2) (*.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/16 (*.f64 x x)) 2) (pow.f64 (*.f64 x -1/8) 2)) (-.f64 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/4096 -1/512) x) (-.f64 (fma.f64 (*.f64 x x) 1/256 1/64) (*.f64 x -1/128)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 1/256 -1/64) x) (fma.f64 x 1/16 1/8))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/4096 -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/256 1/64) (*.f64 x -1/128)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/256 -1/64)) (fma.f64 x 1/16 1/8))
(pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/16 -1/8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x -1/8)) (exp.f64 (*.f64 1/16 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1))
(fma.f64 x (*.f64 x 1/16) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (*.f64 x x) (*.f64 x -1/8))
(fma.f64 (*.f64 x 1/16) x (*.f64 x -1/8))
(fma.f64 -1/8 x (*.f64 1/16 (*.f64 x x)))
(fma.f64 1 (*.f64 x -1/8) (*.f64 1/16 (*.f64 x x)))
(fma.f64 1 (*.f64 1/16 (*.f64 x x)) (*.f64 x -1/8))
(fma.f64 (*.f64 x x) 1/16 (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/256)) (*.f64 (cbrt.f64 (*.f64 x 1/16)) x) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 1/16)) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -1/8) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (*.f64 1/4 (sqrt.f64 x)) (*.f64 (*.f64 1/4 (sqrt.f64 x)) x) (*.f64 x -1/8))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/16)) (*.f64 x -1/8))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (*.f64 1/16 (*.f64 x x)) 1 (*.f64 (*.f64 x -1/8) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/16 (*.f64 x x))) (*.f64 x -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/8)) 2) (cbrt.f64 (*.f64 x -1/8)) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 1/16 (*.f64 x x))) (sqrt.f64 (*.f64 1/16 (*.f64 x x))) (*.f64 x -1/8))
(fma.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (*.f64 x -1/8)) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 1/256))) (cbrt.f64 (*.f64 x 1/16)) (*.f64 x -1/8))
(fma.f64 (*.f64 x (*.f64 1/4 (sqrt.f64 x))) (*.f64 1/4 (sqrt.f64 x)) (*.f64 x -1/8))
(fma.f64 (*.f64 (*.f64 x 1/16) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x -1/8))
(fma.f64 (*.f64 (*.f64 x 1/16) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/8))
(fma.f64 (*.f64 -1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/16 (*.f64 x 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 x (*.f64 x -1/8)))
(*.f64 x (+.f64 (*.f64 x -1/8) 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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))
(*.f64 (fma.f64 x 1/16 -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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(*.f64 1/16 (pow.f64 x 3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))
(*.f64 (fma.f64 x 1/16 -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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 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))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (*.f64 x x))
(*.f64 x (*.f64 x 1/16))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 1/16 (*.f64 x x))
(*.f64 x (*.f64 x 1/16))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(+.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) (*.f64 x 1/2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(+.f64 0 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2) (*.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2) (*.f64 (*.f64 1/2 x) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2)) (-.f64 (*.f64 x 1/2) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 2)) (*.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4)) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 x (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))))
(*.f64 (/.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2) 1/4)) (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 x (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))))
(*.f64 (/.f64 x (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2) 1/2)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3) 1/3)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 3)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2)
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x))) (exp.f64 (*.f64 x 1/2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(fma.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)) (*.f64 x 1/2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(fma.f64 (fma.f64 x 1/16 -1/8) (*.f64 x x) (*.f64 x 1/2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))
(fma.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) x (*.f64 x 1/2))
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(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/16 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/16 (*.f64 x x))) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/8)) 2) (cbrt.f64 (*.f64 x -1/8)) (*.f64 1/16 (*.f64 x x)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (sqrt.f64 (*.f64 1/16 (*.f64 x x))) (sqrt.f64 (*.f64 1/16 (*.f64 x x))) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (*.f64 x -1/8)) (*.f64 1/16 (*.f64 x x)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 1/256))) (cbrt.f64 (*.f64 x 1/16)) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/256))) (*.f64 x (cbrt.f64 (*.f64 x 1/16))) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/256)) (*.f64 x (cbrt.f64 (*.f64 x 1/16))) (*.f64 x -1/8))
(*.f64 x (+.f64 -1/8 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/256))) (cbrt.f64 (*.f64 x 1/16)))))
(fma.f64 (*.f64 x (*.f64 1/4 (sqrt.f64 x))) (*.f64 1/4 (sqrt.f64 x)) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (*.f64 (*.f64 x 1/16) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x -1/8))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 1/16)) (*.f64 x -1/8))
(*.f64 x (+.f64 -1/8 (*.f64 (*.f64 1/16 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))
(fma.f64 (*.f64 (*.f64 x 1/16) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 (*.f64 -1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/8 (cbrt.f64 x)) (*.f64 1/16 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/8 (cbrt.f64 x)) (*.f64 x (*.f64 x 1/16)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/16 (*.f64 x x)))
(fma.f64 x -1/8 (*.f64 1/16 (*.f64 x x)))
(*.f64 x (fma.f64 x 1/16 -1/8))

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 x 1) 3/2)
✓0.0b
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
✓0.1b
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
✓7.5b
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
Compiler

Compiled 65 to 51 computations (21.5% saved)

series20.0ms (0.4%)

Counts
4 → 34
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
3.0ms
x
@-inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
3.0ms
x
@inf
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
3.0ms
x
@-inf
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
1.0ms
x
@0
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))

rewrite87.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
694×log-prod_binary64
660×fma-def_binary64
300×fma-neg_binary64
260×log1p-udef_binary64
259×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
131456
2474156
Stop Event
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 3/2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 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simplify186.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
404×associate-*l*_binary64
403×associate-*r*_binary64
267×fma-neg_binary64
242×fma-def_binary64
226×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06196638
116706313
266866193
Stop Event
1×node limit
Counts
232 → 345
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 -7/128 (pow.f64 x 4)))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (+.f64 (*.f64 9/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))) (*.f64 3/2 (*.f64 (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) (sqrt.f64 (/.f64 1 x)))))))
(/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))))
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(fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 0 (pow.f64 (+.f64 x 1) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))
(fma.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 x 1) 3/2) (expm1.f64 (*.f64 3/2 (log1p.f64 x))) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -3/8 (*.f64 x x)))
(fma.f64 -3/8 (*.f64 x x) (*.f64 1/2 x))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -3/8 (*.f64 x x))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 -3/8 (*.f64 x x) (*.f64 1/2 x)))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 -7/128 (pow.f64 x 4)))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -3/8 (*.f64 x x) (*.f64 -7/128 (pow.f64 x 4)))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -7/128 (pow.f64 x 4) (*.f64 x (*.f64 x -3/8)))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
(fma.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (fma.f64 9/4 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 -3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 x))))
(+.f64 (fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/4 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (/.f64 (*.f64 -3/8 (sqrt.f64 x)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))
(+.f64 (fma.f64 9/4 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))) (fma.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (/.f64 (*.f64 -3/8 (sqrt.f64 x)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (+.f64 (*.f64 9/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))) (*.f64 3/2 (*.f64 (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) (sqrt.f64 (/.f64 1 x)))))))
(-.f64 (fma.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (fma.f64 9/4 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (fma.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 x)) (fma.f64 -1/16 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 x))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (/.f64 (*.f64 9/4 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (*.f64 -3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))))))
(-.f64 (fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/4 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (fma.f64 3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (/.f64 -1/16 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (/.f64 (*.f64 3/2 (fma.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 (*.f64 -3/8 (sqrt.f64 (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))))
(/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 x (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) 2)) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))))
(+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))))
(fma.f64 -3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2))) (fma.f64 9/4 (/.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 3))) (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))
(fma.f64 -3/8 (/.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (fma.f64 9/4 (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 3)) (fma.f64 -3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 -3/8 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (pow.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) 2)) (fma.f64 9/4 (/.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) 2) x) (pow.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) 3)) (fma.f64 -3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) 2)) (/.f64 x (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))))))
(+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (+.f64 (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/16 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (*.f64 3/2 (/.f64 (*.f64 (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3)))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 2)))))))
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(*.f64 1/2 x)
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(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 (*.f64 x x) -1/8 (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
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(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16)))
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(/.f64 (*.f64 x x) (+.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))))
1
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(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1))
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(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
1
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(sqrt.f64 (pow.f64 x 3))
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(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(fma.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(fma.f64 (*.f64 x (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (*.f64 x (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 x (/.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)))
(+.f64 2 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(+.f64 2 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (-.f64 2 (sqrt.f64 (+.f64 x 1))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 1 (-.f64 2 (sqrt.f64 (+.f64 x 1))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(*.f64 (-.f64 3 x) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 3 x) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))) (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 3 x)))
(*.f64 (-.f64 3 x) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 3 x) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(*.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (-.f64 3 x) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 3 x) (/.f64 1 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 -4 (neg.f64 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (+.f64 -8 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 -4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -3 x) (-.f64 -2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 2 (neg.f64 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 4 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1))))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 4 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 4 (+.f64 x 1)) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) 3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))
(fabs.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 2)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 -1 (sqrt.f64 (+.f64 x 1)) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 2)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2)
(fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(pow.f64 (+.f64 x 1) 3/2)
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x 1) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(pow.f64 (+.f64 x 1) 3/2)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 (-.f64 (fma.f64 x x 1) x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 (fma.f64 x x 1) x)) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(pow.f64 (+.f64 x 1) 3/2)
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)) 1))
(pow.f64 (+.f64 x 1) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 x 1) 3/2)
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))
(pow.f64 (exp.f64 3/2) (log1p.f64 x))
(fma.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) -1)
(pow.f64 (+.f64 x 1) 3/2)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1 -1)
(pow.f64 (+.f64 x 1) 3/2)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) -1)
(pow.f64 (+.f64 x 1) 3/2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (+.f64 x 1) 3/2)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 9/2)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 x 1) 3/2) (expm1.f64 (*.f64 3/2 (log1p.f64 x))) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 34 to 26 computations (23.5% saved)

series4.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

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

rewrite54.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
900×add-log-exp_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0836
118628
2272928
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x)
(+.f64 (sqrt.f64 (+.f64 x 1)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 x)) 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 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 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 (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 (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 -1 (/.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (pow.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -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 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 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 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 1 x))) 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 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 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 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))))) (#(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 pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(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 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)))))

simplify79.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
439×fma-def_binary64
436×log-prod_binary64
402×associate-/r/_binary64
361×fma-neg_binary64
295×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02601513
16391382
224251373
370531373
Stop Event
1×node limit
Counts
119 → 167
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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
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 1 x)) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (pow.f64 x -1) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -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)
(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 1 x))) 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 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1)))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 x -1)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1)
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 (neg.f64 x) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 1 (+.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 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))
(*.f64 x (fma.f64 x -1/8 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 (fma.f64 x -1/8 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)))))
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x))))
(+.f64 (fma.f64 (*.f64 x x) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/16 1/2)))
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))
(+.f64 2 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.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)))
(+.f64 2 (fma.f64 1/16 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2))))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 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))
(expm1.f64 (*.f64 1/2 (log1p.f64 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))))
(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))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 -1 (/.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (pow.f64 x -1) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) -1))
(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 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1) x)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 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))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 x -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(sqrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (/.f64 (+.f64 1 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(-.f64 (/.f64 (+.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (/.f64 (+.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (*.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 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 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 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 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(/.f64 (*.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 (*.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (*.f64 x 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 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 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 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 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 2 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 (+.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

localize41.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
851×pow1_binary64
798×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
784×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118010
2216710
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))))))

simplify52.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
516×fma-neg_binary64
490×fma-def_binary64
485×associate-*l/_binary64
465×associate-/r*_binary64
428×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095538
1234478
2561428
31791419
47775419
Stop Event
1×node limit
Counts
33 → 56
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 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 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 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 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/32 -1/8))))
(+.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))))
(fma.f64 x (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x 3) (+.f64 1/32 (*.f64 x -1/128))))
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 2 (+.f64 (/.f64 32 (*.f64 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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x 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 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x 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)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x))))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x))))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

eval423.0ms (9.3%)

Compiler

Compiled 18158 to 14154 computations (22.1% saved)

prune132.0ms (2.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New7644768
Fresh011
Picked101
Done167
Total76611777
Error
0b
Counts
777 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.0b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓21.4b
(/.f64 x 2)
▶21.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
✓0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
▶22.1b
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
▶21.1b
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓38.5b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓22.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
▶1.6b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.8b
2
Compiler

Compiled 91 to 74 computations (18.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.6b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
1.0ms
x
@inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
0.0ms
x
@0
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

rewrite40.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
493×pow1_binary64
478×add-sqr-sqrt_binary64
455×add-log-exp_binary64
455×expm1-log1p-u_binary64
454×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11168
212548
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
((#(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 (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 (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 (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 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 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 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 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))))))))

simplify41.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
628×times-frac_binary64
458×associate-/l*_binary64
314×associate-/r*_binary64
308×associate-+l+_binary64
274×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107565
1278543
2814473
33464410
Stop Event
1×node limit
Counts
30 → 73
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 (pow.f64 (+.f64 x 1) 1/2) -1)
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 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)
(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))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (log.f64 (expm1.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))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(*.f64 x (+.f64 (*.f64 x -1/8) 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 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -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)))))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x (+.f64 1/16 (*.f64 -5/128 x))))))
(-.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 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (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 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1)) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) -1/2)))
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 x) -1/2))) (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)))))
(fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) -1)
(expm1.f64 (log.f64 (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))))))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) -1))
(+.f64 -1 (*.f64 (+.f64 (/.f64 1/2 x) 1) (sqrt.f64 (exp.f64 (log.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 -1/8 (/.f64 (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 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) -1) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (+.f64 1/2 (/.f64 -1/8 x))))
(+.f64 (expm1.f64 (log.f64 (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/2 (/.f64 -1/8 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 (*.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 -1/8 (/.f64 (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 -1 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/2) (/.f64 (*.f64 x x) (pow.f64 -1 1/2))) (+.f64 -1/8 (/.f64 1/16 x))))))
(+.f64 (expm1.f64 (log.f64 (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 (+.f64 1/2 (/.f64 -1/8 x)) (/.f64 1/16 (*.f64 x x)))))
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(expm1.f64 (*.f64 1/2 (log1p.f64 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))
(expm1.f64 (*.f64 1/2 (log1p.f64 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))))
(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))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
836×pow1_binary64
783×add-log-exp_binary64
782×log1p-expm1-u_binary64
782×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117810
2217710
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))))))

simplify40.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
625×associate-/r*_binary64
581×fma-def_binary64
262×associate-*l*_binary64
261×associate-/l/_binary64
236×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098543
1255480
2685427
33123418
Stop Event
1×node limit
Counts
34 → 62
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 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 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 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 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/32 -1/8))))
(+.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 x (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x 3) (+.f64 1/32 (*.f64 -1/128 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 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x 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 (/.f64 32 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (/.f64 -8 x) (-.f64 (/.f64 128 (pow.f64 x 3)) (/.f64 32 (*.f64 x 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 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x 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 (/.f64 32 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (/.f64 -8 x) (-.f64 (/.f64 128 (pow.f64 x 3)) (/.f64 32 (*.f64 x x)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 2 x)) -1/2)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 -1 (-.f64 -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (*.f64 1 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x))))
(/.f64 (-.f64 1/2 (/.f64 2 x)) (+.f64 1/4 (/.f64 -4 (*.f64 x x))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 0)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
✓0.1b
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
Compiler

Compiled 48 to 39 computations (18.8% saved)

series2.0ms (0%)

Counts
2 → 18
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
0.0ms
x
@0
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
0.0ms
x
@0
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
0.0ms
x
@inf
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))

rewrite62.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
542×log-prod_binary64
408×fma-def_binary64
342×pow-prod-down_binary64
317×pow2_binary64
235×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
127125
2351125
Stop Event
1×node limit
Counts
2 → 118
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 x) 1 (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 x) 1 (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x -3) 8 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/8 x 1/2) 1 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x 1/2)) 2) (cbrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/8 x 1/2)) (sqrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/8 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 -1/8 x 1/2))))))

simplify67.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
713×fma-def_binary64
442×distribute-rgt-in_binary64
419×distribute-lft-in_binary64
345×unswap-sqr_binary64
297×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03102443
17902375
222962313
Stop Event
1×node limit
Counts
136 → 208
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 -3/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 0 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2) (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(*.f64 (/.f64 1 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -2) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) 3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) 1)
(-.f64 (/.f64 (*.f64 1/64 (*.f64 x x)) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x))) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x))))
(*.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))
(*.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2)) (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x))))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))) (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)) (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(/.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(/.f64 (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2))
(/.f64 (neg.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -1)
(/.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))))
(/.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/8 (*.f64 x (+.f64 1/2 (/.f64 2 x)))))))
(/.f64 (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (neg.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/8 x 1/2) 3) (*.f64 (pow.f64 x -3) 8)) (+.f64 (pow.f64 (fma.f64 -1/8 x 1/2) 2) (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (*.f64 1/64 (*.f64 x x))) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/8 x 1/2) 2) (*.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 -1/8 x 1/2) (/.f64 2 x)))
(pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) -3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))) (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)) (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (exp.f64 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) x) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 -1/8 x 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 -1/8 x 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (exp.f64 -1/8) x)))
(log.f64 (*.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/8 x 1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(exp.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1))
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 1 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))
(fma.f64 1 (fma.f64 -1/8 x 1/2) (/.f64 2 x))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 x) 1 (+.f64 1/2 (/.f64 2 x)))
(fma.f64 2 (/.f64 1 x) (fma.f64 -1/8 x 1/2))
(fma.f64 (/.f64 1 x) 2 (fma.f64 -1/8 x 1/2))
(fma.f64 (/.f64 2 x) 1 (fma.f64 -1/8 x 1/2))
(fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 -1/8 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 -1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 -1/8 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (fma.f64 (pow.f64 x -3) 8 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 -1/8 x))
(fma.f64 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (fma.f64 -1/8 x 1/2) 1 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x 1/2)) 2) (cbrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 x 1/2)) (sqrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 -1/8 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 (fma.f64 x -1/8 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 (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/128 (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 -3/128 (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 -3/128 (pow.f64 x 4)))))
(+.f64 (*.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -3/128 (pow.f64 x 4))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)))
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 1536 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))))
(+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x)))
(neg.f64 (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 1536 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 1536 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -256 (pow.f64 x 3)) (+.f64 (/.f64 -32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 -1536 (pow.f64 x 4)))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 0 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))) 1)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))) (cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2) (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))))
(/.f64 (*.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))) (*.f64 (*.f64 x x) 1/64))) (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))) (*.f64 (*.f64 x x) 1/64)) (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(/.f64 (fma.f64 x (*.f64 x 1/64) (fma.f64 (fma.f64 1/2 x 2) 1/8 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)))
(/.f64 (*.f64 1 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x))) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)) (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(/.f64 (fma.f64 x -1/8 (+.f64 -1/2 (/.f64 -2 x))) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -2) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2) 1/2)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -3))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))) -3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) 3)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) -2)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -1/2) 2)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))) -1)
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -2))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))))
(/.f64 1 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))))
(/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)))
(/.f64 -1 (+.f64 (/.f64 -2 x) (fma.f64 x 1/8 -1/2)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) -3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
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(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x))) -1/2) -2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2)) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)) (*.f64 1/64 (*.f64 x x))) (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) -1)
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (-.f64 (/.f64 2 x) (*.f64 x -1/8))) (*.f64 (*.f64 x x) 1/64))))
(/.f64 (fma.f64 -1/512 (pow.f64 x 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 (+.f64 1/2 (/.f64 2 x)) (+.f64 1/2 (+.f64 (/.f64 2 x) (*.f64 x 1/8))) (*.f64 (*.f64 x x) 1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (fma.f64 x (*.f64 x 1/64) (fma.f64 (fma.f64 1/2 x 2) 1/8 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(pow.f64 (/.f64 (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)) (-.f64 (*.f64 1/64 (*.f64 x x)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (-.f64 (fma.f64 -1/8 x -1/2) (/.f64 2 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (+.f64 (fma.f64 x -1/8 -1/2) (/.f64 -2 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (fma.f64 x 1/8 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (exp.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (exp.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) x) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 x))) (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (fma.f64 -1/8 x 1/2))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (fma.f64 -1/8 x 1/2))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (exp.f64 -1/8) x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))) (+.f64 1 (expm1.f64 (*.f64 -1/8 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/8 x 1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2) 3))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 -1/8 x (/.f64 2 x)) 1/2)) 1))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (/.f64 2 x) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 1 (fma.f64 -1/8 x 1/2) (/.f64 2 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 x -1/8 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 -1/8 x) 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 2 (/.f64 1 x) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (/.f64 1 x) 2 (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (/.f64 2 x) 1 (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (+.f64 1/2 (/.f64 2 x)) 1 (*.f64 -1/8 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (*.f64 -1/8 x)) (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 x (*.f64 x 1/64))) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (cbrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 (*.f64 x x) 1/64)) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 x -1/8)) (cbrt.f64 (*.f64 x (*.f64 x 1/64))) (+.f64 1/2 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (*.f64 -1/8 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (*.f64 -1/8 x)) (sqrt.f64 (*.f64 -1/8 x)) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/8) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (fma.f64 (pow.f64 x -3) 8 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4)) (*.f64 -1/8 x))
(fma.f64 (fma.f64 (pow.f64 x -3) 8 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)) (*.f64 x -1/8))
(fma.f64 (fma.f64 8 (pow.f64 x -3) 1/8) (/.f64 1 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)) (*.f64 x -1/8))
(fma.f64 x -1/8 (/.f64 (fma.f64 8 (pow.f64 x -3) 1/8) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4)))
(fma.f64 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (*.f64 -1/8 x))
(fma.f64 (-.f64 1/4 (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (*.f64 x -1/8))
(fma.f64 (+.f64 1/4 (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) (*.f64 x -1/8))
(fma.f64 x -1/8 (/.f64 (fma.f64 (pow.f64 x -2) -4 1/4) (+.f64 1/2 (/.f64 -2 x))))
(fma.f64 (fma.f64 -1/8 x 1/2) 1 (/.f64 2 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 x 1/2)) 2) (cbrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 x 1/2)) (sqrt.f64 (fma.f64 -1/8 x 1/2)) (/.f64 2 x))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 -1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 -1/8 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (cbrt.f64 x)) (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (fma.f64 -1/8 x 1/2))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
429×log-prod_binary64
336×exp-prod_binary64
280×prod-exp_binary64
236×pow-prod-down_binary64
235×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
120016
2255916
Stop Event
1×node limit
Counts
2 → 105
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
(/.f64 (+.f64 (*.f64 1/2 x) 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 1/2 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) 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x (fma.f64 1/2 x 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2))))))

simplify49.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
729×fma-def_binary64
688×associate-/l*_binary64
403×unswap-sqr_binary64
308×distribute-rgt-in_binary64
303×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02881410
17001375
222511373
Stop Event
1×node limit
Counts
129 → 148
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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 1/2 x 2))) 1)
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2)))
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2)))
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 1/2 x 2)) x)))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.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 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))) (neg.f64 x))
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) x))
(*.f64 (/.f64 x (fma.f64 1/4 (*.f64 x x) -4)) (fma.f64 1/2 x -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1) x)
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -2)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 1/2 x 2)) x)) -1)
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3/2) (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (fma.f64 1/2 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(+.f64 0 (/.f64 (fma.f64 1/2 x 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(-.f64 (+.f64 1 (/.f64 (fma.f64 1/2 x 2) x)) 1)
(*.f64 1 (/.f64 (fma.f64 1/2 x 2) x))
(*.f64 (fma.f64 1/2 x 2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 1/2 x 2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) -3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) -2)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))))
(neg.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3/2) (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 1/2 x 2)) 3) (pow.f64 (neg.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 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 1/32 (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 1/2 x (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 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.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 (+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.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 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.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 (+.f64 (/.f64 (/.f64 32 x) x) (+.f64 2 (/.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)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 1/2 x 2))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 1/2 x 2)) x)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 1/2 x 2) 2))) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 1/2 x 2) 2) x))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))) (neg.f64 x))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 1/4 (*.f64 x x) 4) x))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x))))
(*.f64 (/.f64 x (fma.f64 1/4 (*.f64 x x) -4)) (fma.f64 1/2 x -2))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1) x)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 1/2 x 2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) -1/6))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -2) 1/2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) -2)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 1/2 x 2)) x)) -1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3/2) (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (fma.f64 1/2 x 2)) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1/3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 0 (/.f64 (fma.f64 1/2 x 2) x))
(/.f64 (fma.f64 1/2 x 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))))
(-.f64 (+.f64 1 (/.f64 (fma.f64 1/2 x 2) x)) 1)
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 1 (/.f64 (fma.f64 1/2 x 2) x))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (fma.f64 1/2 x 2) (/.f64 1 x))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (/.f64 1 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (/.f64 1 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (neg.f64 (fma.f64 1/2 x 2)) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (/.f64 1 x) (fma.f64 1/2 x 2))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) x))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x)))
(/.f64 (*.f64 (fma.f64 1/2 x 2) (pow.f64 x -1/2)) (sqrt.f64 x))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 1)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) -1)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2) 1/2)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3) 1/3)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) -1/6))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 3)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) -3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x)) 2)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) -2)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (pow.f64 x 3)) 1/3)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (/.f64 (/.f64 x (fma.f64 1/2 x 2)) 1) -1)
(/.f64 (fma.f64 1/2 x 2) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))))
(neg.f64 (/.f64 (fma.f64 1/2 x 2) (neg.f64 x)))
(/.f64 (fma.f64 1/2 x 2) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 2))
(/.f64 (fma.f64 1/2 x 2) x)
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3))
(/.f64 (fma.f64 1/2 x 2) x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) 3) (pow.f64 x 3)))
(/.f64 (fma.f64 1/2 x 2) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) 3/2) (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 1/2 x 2)) 3) (pow.f64 (neg.f64 x) 3)))
(/.f64 (fma.f64 1/2 x 2) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)))
(/.f64 (fma.f64 1/2 x 2) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) -1))
(/.f64 (fma.f64 1/2 x 2) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 1/2 x 2) x))) 1/3))
(/.f64 (fma.f64 1/2 x 2) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 3))
(/.f64 (fma.f64 1/2 x 2) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 x 2) x))) 2))
(/.f64 (fma.f64 1/2 x 2) x)

eval244.0ms (5.4%)

Compiler

Compiled 7622 to 6065 computations (20.4% saved)

prune120.0ms (2.6%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4910491
Fresh011
Picked011
Done099
Total49111502
Error
0b
Counts
502 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.0b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓21.4b
(/.f64 x 2)
✓21.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
✓0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
✓22.1b
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
✓21.1b
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓38.5b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓22.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
✓1.6b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.8b
2
Compiler

Compiled 91 to 74 computations (18.7% saved)

regimes39.0ms (0.9%)

Counts
16 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

27.0ms
x
8.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes14.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
Outputs
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.4b2x
Compiler

Compiled 76 to 60 computations (21.1% saved)

bsearch14.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
14.0ms
6.956487753070853e-7
0.0029421815227809534
Results
12.0ms128×body256valid
Compiler

Compiled 181 to 146 computations (19.3% saved)

regimes8.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
21.0b1x
Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
21.1b1x
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes28.0ms (0.6%)

Accuracy

Total -39.4b remaining (-183.7%)

Threshold costs -39.4b (-183.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
21.4b1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02968
14268
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7932099951695107/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8)))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7932099951695107/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 (*.f64 x 1/16) -1/8)))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2
Compiler

Compiled 53 to 42 computations (20.8% saved)

soundness0.0ms (0%)

end51.0ms (1.1%)

Compiler

Compiled 48 to 37 computations (22.9% saved)

Profiling

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