Details

Time bar (total: 6.7s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
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)

sample1.0s (15.6%)

Results
1.0s8254×body256valid
1.0ms2×body2048valid
0.0ms1×body256invalid
Bogosity

preprocess14.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
4×+-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
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)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
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)

series4.0ms (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))))
0.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite110.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1280×associate-*r/
946×associate-*l/
936×associate-/r*
858×*-commutative
696×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119451
2269051
Stop Event
1×node limit
Counts
3 → 196
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
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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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (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 log1p.f64 (expm1.f64 (+.f64 1 (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 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)))))

simplify150.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
814×associate-+l+
782×associate-+r+
640×associate-/l*
616×+-commutative
608×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04617516
112346766
251606716
Stop Event
1×node limit
Counts
208 → 300
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 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.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 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (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 (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 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.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 (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 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.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 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.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 (/.f64 x 1) 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(*.f64 (/.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(*.f64 (/.f64 x (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 x 1) x) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.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 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(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))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (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 (+.f64 2 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.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 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 1 (*.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))) (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (pow.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 3))) (-.f64 (+.f64 1 (*.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 x (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) 1))
(/.f64 x (*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 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) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (cbrt.f64 x) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) 1) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.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 1 (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (neg.f64 x))))
(/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 1 (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 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 (+.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 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
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 (*.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 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (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)
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (pow.f64 (+.f64 x 1) 1/4)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) 1) (*.f64 (/.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (+.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (+.f64 x 1))))))
(fma.f64 (*.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1)
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 x (/.f64 (-.f64 -2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 x (/.f64 (-.f64 -2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.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 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 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 x (/.f64 (-.f64 -2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -2 x)) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.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 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.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 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 (-.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 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (neg.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.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 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (sqrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 2 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (/.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 2 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)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.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 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.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 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.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)))))
(pow.f64 (+.f64 1 (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)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(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)

eval180.0ms (2.7%)

Compiler

Compiled 5411 to 4151 computations (23.3% saved)

prune50.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2928300
Fresh000
Picked011
Done000
Total2929301
Error
0b
Counts
301 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
21.5b
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
▶8.4b
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
▶20.1b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
20.1b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶20.6b
(/.f64 x 2)
▶39.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶47.6b
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
21.5b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
Compiler

Compiled 165 to 127 computations (23% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
✓0.2b
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
✓8.2b
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
Compiler

Compiled 72 to 57 computations (20.8% saved)

series14.0ms (0.2%)

Counts
3 → 16
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 x (/.f64 (+.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
2.0ms
x
@inf
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
2.0ms
x
@-inf
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
0.0ms
x
@0
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))

rewrite115.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1678×associate-/r/
984×associate-/l/
372×associate-+l+
366×add-sqr-sqrt
350×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015117
1351117
25116117
Stop Event
1×node limit
Counts
3 → 206
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (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 2 (sqrt.f64 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (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 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 x 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x 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simplify134.0ms (2%)

Algorithm
1×egg-herbie
Rules
920×*-commutative
866×associate-*r*
860×distribute-lft-in
820×associate-*l*
810×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063015214
1211014874
Stop Event
1×node limit
Counts
222 → 375
Calls
Call 1
Inputs
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) x)
(/.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 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 1/2 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 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))) 1)
(*.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 x 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))))
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(/.f64 (-.f64 3 x) (+.f64 2 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 16 (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 512 (pow.f64 (+.f64 1 x) 9/2)) (*.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)) (+.f64 64 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 8 (pow.f64 (+.f64 1 x) 3/2))))))
(/.f64 (-.f64 64 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 16 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 4 (+.f64 1 x))))))
(/.f64 (-.f64 64 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) 8)))
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x))))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log.f64 (-.f64 3 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
Outputs
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(+.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))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) x)
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) x)
(/.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) x)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)
(*.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 (*.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 (*.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)))))
(/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) x))
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 x 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))))
(*.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) 2)
(pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) 2)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) 2))
(/.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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(/.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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 2 (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 x (-.f64 2 (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 1 x) 3/2)) (/.f64 1 (+.f64 -2 (-.f64 (sqrt.f64 (+.f64 1 x)) x))))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 -2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 x -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))) (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) x)))))
(*.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 x 2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))) (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (-.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) x))))))
(*.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (fma.f64 x x (*.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 2 x) (sqrt.f64 (+.f64 x 1))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 3))))
(*.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.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 2 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 -2 (-.f64 (sqrt.f64 (+.f64 1 x)) x))) (-.f64 -1 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 -2 (-.f64 (sqrt.f64 (+.f64 x 1)) x))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 x -2)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 1 (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 (/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
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(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (+.f64 2 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 4 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 16 (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)))
(/.f64 (-.f64 16 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 x 5)))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (+.f64 8 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))) (+.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (-.f64 8 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 -2 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 512 (pow.f64 (+.f64 1 x) 9/2)) (*.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)) (+.f64 64 (+.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 8 (pow.f64 (+.f64 1 x) 3/2))))))
(/.f64 (-.f64 512 (pow.f64 (+.f64 x 1) 9/2)) (*.f64 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5)) (+.f64 64 (+.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))))
(/.f64 (/.f64 (-.f64 512 (pow.f64 (+.f64 x 1) 9/2)) (+.f64 64 (*.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))) (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5)))
(/.f64 (-.f64 64 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 16 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 4 (+.f64 1 x))))))
(/.f64 (-.f64 64 (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 x 1))) (+.f64 16 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 4 (*.f64 4 x))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (+.f64 x 1) 3)) (+.f64 16 (*.f64 (+.f64 x 1) (+.f64 (+.f64 x 1) 4)))) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 64 (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x)) (+.f64 (pow.f64 (+.f64 1 x) 3/2) 8)))
(/.f64 (-.f64 64 (pow.f64 (+.f64 x 1) 3)) (*.f64 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) 8)) (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5)))
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 3 x)) (+.f64 -2 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -3 x) (-.f64 -2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (+.f64 5 x))))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 x 5))))
(/.f64 (+.f64 -8 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) -2) (+.f64 x 5)))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log.f64 (-.f64 3 (sqrt.f64 (+.f64 1 x)))))
(expm1.f64 (log.f64 (-.f64 3 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 1))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@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))

rewrite57.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1904×add-sqr-sqrt
1876×*-un-lft-identity
1766×add-cube-cbrt
1750×add-cbrt-cube
174×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
118015
2232115
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (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 (sqrt.f64 x) (*.f64 (sqrt.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 (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 (/.f64 1 (fma.f64 x 1/2 2)) x)))) (#(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 (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 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 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.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 (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 (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 (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 pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)))) (#(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 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)))) (#(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 (/.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 log.f64 (+.f64 1 (expm1.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 expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))))))

simplify56.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1684×distribute-lft-in
1334×associate-+r+
1012×associate-+l+
642×associate-*r/
484×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01311034
13301006
211751002
346841002
Stop Event
1×node limit
Counts
46 → 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 1/32 (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 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 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.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 (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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.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 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (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 (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))))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.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))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 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 -1/128 (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 (/.f64 32 (*.f64 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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -8 x) (-.f64 (/.f64 32 (*.f64 x 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 (/.f64 32 (*.f64 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 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -8 x) (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.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 x (fma.f64 x 1/2 2))
(/.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 x (fma.f64 x 1/2 2))
(/.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 x (fma.f64 x 1/2 2))
(/.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 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.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 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (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 (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(/.f64 (*.f64 x (fma.f64 x 1/2 -2)) (fma.f64 (*.f64 x x) 1/4 -4))
(/.f64 (*.f64 x (fma.f64 1/2 x -2)) (fma.f64 x (*.f64 x 1/4) -4))
(/.f64 (fma.f64 1/2 x -2) (/.f64 (fma.f64 x (*.f64 x 1/4) -4) x))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) 1/8))) (fma.f64 (*.f64 x x) 1/4 (-.f64 4 x)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 x (*.f64 x 1/4) (-.f64 4 x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.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 (/.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 x (cbrt.f64 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (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 x (fma.f64 x 1/2 2))
(/.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 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (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)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓4.3b
(+.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)

rewrite58.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1816×add-sqr-sqrt
1798×*-un-lft-identity
1674×add-cube-cbrt
1662×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118817
2232017
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 (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 (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 (+.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 (sqrt.f64 (+.f64 x 1)) 1) x))))) (#(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 (+.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 x) (neg.f64 (+.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 (+.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 pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)))) (#(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 pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)))) (#(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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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 fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
942×associate-*r*
856×*-commutative
780×associate-*l*
686×associate-+r+
628×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021169
12421079
28421075
33789865
Stop Event
1×node limit
Counts
37 → 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 (exp.f64 (log1p.f64 (+.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 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.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 (sqrt.f64 (+.f64 x 1)) 1) 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))))
(/.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 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (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)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 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))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(*.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 (*.f64 x 1/16) -1/8)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(+.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 (*.f64 x -5/128) 1/16)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 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 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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.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 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (*.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 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 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 x (+.f64 1 (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 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 (+.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 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 x (+.f64 1 (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 x (+.f64 1 (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)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.1b
(*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))
✓4.3b
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
✓8.2b
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
Compiler

Compiled 40 to 30 computations (25% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite98.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
878×associate-/r*
792×distribute-rgt-in
750×distribute-lft-in
610×associate-/l*
286×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01275
125773
2334961
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (/.f64 x (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (-.f64 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((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))))

simplify79.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1276×associate-/l*
840×times-frac
730×associate-*r*
696×associate-/r*
660×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05278196
114457532
Stop Event
1×node limit
Counts
228 → 321
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 -1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 -1/2 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 5/128 (pow.f64 x 4)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 5/128 (pow.f64 x 5)))))
(+.f64 -1 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 x)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x)) (/.f64 -1 x)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) 1))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) (/.f64 x (neg.f64 x)))
(+.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1) -1)
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x x))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(/.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (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) (/.f64 (neg.f64 x) (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (/.f64 x (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (neg.f64 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (*.f64 x x))) (/.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 -1 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(neg.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.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)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (*.f64 1/8 x) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/16)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 5/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 (pow.f64 x 4) 5/128))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 4) 5/128 (*.f64 x -1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/2)
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/8))
(fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 -1/16 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 4) -1/16 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/8)))
(+.f64 (*.f64 -1/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 5/128 (pow.f64 x 5)))))
(fma.f64 -1/16 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 3) (*.f64 5/128 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -1/16 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 5/128 (pow.f64 x 5)))))
(+.f64 -1 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 1 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x)) (/.f64 -1 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) 1))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (neg.f64 x)) (*.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 x (neg.f64 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x))) (/.f64 x (neg.f64 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))) -1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1) -1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 -1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (neg.f64 x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 x x))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 x (-.f64 1 (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 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) x)))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 (neg.f64 x) (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x)) (*.f64 x (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 (/.f64 x (neg.f64 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) x)
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) x) (sqrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))) x))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (/.f64 x (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (cbrt.f64 (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (*.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (neg.f64 x) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 x)) (*.f64 x (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) x)))
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (*.f64 x x))) (/.f64 (neg.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 x)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) x)))
(/.f64 (*.f64 -1 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)) 1)))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
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(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(sqrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 x (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x)))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 x (*.f64 1 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 x (*.f64 1 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 x (*.f64 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 x (*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x)) 1))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1)))) x)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x)) x)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(-.f64 (+.f64 x 1) (-.f64 1 (*.f64 x (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(-.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) x))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(/.f64 x (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)) x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (neg.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 2 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))) x)
(*.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(neg.f64 (*.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(fabs.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (pow.f64 x 3)))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 x (*.f64 x (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x) x)

eval490.0ms (7.3%)

Compiler

Compiled 22787 to 17479 computations (23.3% saved)

prune329.0ms (4.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New100841012
Fresh123
Picked101
Done055
Total1010111021
Error
0b
Counts
1021 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.5b
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
✓8.4b
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
✓20.1b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶20.1b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓20.6b
(/.f64 x 2)
▶0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
✓39.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶21.2b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
▶21.5b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
60.9b
2
Compiler

Compiled 149 to 115 computations (22.8% saved)

localize38.0ms (0.6%)

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)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite93.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1026×associate-/l*
968×*-commutative
708×associate-/r/
590×distribute-lft-in
578×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
122353
2312953
Stop Event
1×node limit
Counts
3 → 271
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
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(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 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)))))

simplify167.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1052×associate-*r*
880×times-frac
878×associate-/l*
878×associate-*l*
746×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05929339
117548493
Stop Event
1×node limit
Counts
283 → 401
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 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 0))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 0 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 x -1)))
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (+.f64 x -1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 1 x)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1))
(+.f64 (*.f64 (/.f64 x x) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x x) -1))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) x) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 1 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (*.f64 -1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x x)) (*.f64 -1 (/.f64 x x)))
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(+.f64 (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(+.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (*.f64 (+.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (/.f64 x x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
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(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) -1) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (/.f64 1 (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 (/.f64 (*.f64 x (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (+.f64 x (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 (neg.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)))))
(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 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)) 1/3)
(neg.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(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 (/.f64 1 (pow.f64 (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)))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (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 (+.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(*.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 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))))
(*.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (/.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)) (/.f64 1 x))
(*.f64 (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 x (/.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 (neg.f64 x)) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 x -1) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (/.f64 1 (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 (/.f64 x (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))) (+.f64 x (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (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) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (cbrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (/.f64 1 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (+.f64 (*.f64 x (+.f64 1 x)) x) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3)) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (*.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1)))
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (neg.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(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 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 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 (*.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 (*.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)))))
(/.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 -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))))
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 (*.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))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2)) (*.f64 1/16 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) 0))
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (*.f64 0 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(+.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 x -1)))
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0))
(+.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (*.f64 (+.f64 x -1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0))
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) (+.f64 1 x)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1))
(*.f64 (+.f64 (+.f64 x -1) 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (+.f64 x 0))
(+.f64 (*.f64 (/.f64 x x) (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 x x) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
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(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (pow.f64 (+.f64 x 1) 1/2))
(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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1842×add-sqr-sqrt
1810×*-un-lft-identity
1708×add-cube-cbrt
1688×add-cbrt-cube
172×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117815
2226215
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))))))

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1460×associate-/r*
496×associate-+l+
492×associate-+r+
486×fma-def
468×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087888
1248668
2935630
33172630
Stop Event
1×node limit
Counts
36 → 39
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 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x)))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(fma.f64 1/2 x (*.f64 -1/8 (*.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))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.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 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 x (*.f64 x -1/8))
(+.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 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 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 x (*.f64 x -1/8))
(+.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 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 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 x 1/2) (*.f64 -1/8 (*.f64 x 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 (*.f64 x x)) (*.f64 x 1/2))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/8 (*.f64 x x)) 1))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 1)
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 1/64 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/8 x)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/64 x) x) (*.f64 1/16 x))) x))
(*.f64 (/.f64 x (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8))
(*.f64 x (/.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/64 (*.f64 x x))) x) (+.f64 1/2 (*.f64 1/8 x)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 1/4 (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (+.f64 1/8 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/64 x) x) (*.f64 1/16 x))) x))
(*.f64 (/.f64 x (+.f64 1/4 (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8))
(*.f64 x (/.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (*.f64 -1/512 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 -1/8 (*.f64 x x)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 -1/512 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 1/2 x) 3)) (fma.f64 x (*.f64 1/4 x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x 1/64) 1/16)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 x 6))) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 1))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 22 computations (21.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1278×associate-*r/
878×associate-*l/
876×*-commutative
870×associate-/r*
646×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
120032
2268732
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
Outputs
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simplify101.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
594×associate-+r+
578×associate-+l+
562×+-commutative
498×associate-*r*
460×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04236789
112496361
251656203
Stop Event
1×node limit
Counts
189 → 265
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (fma.f64 x 1/2 1))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (fma.f64 x 1/2 1) -1)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 1))))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) 1))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (*.f64 (fma.f64 x 1/2 1) -1) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 3)) (/.f64 1 (-.f64 0 (*.f64 x 1/2)))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (*.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (pow.f64 (fma.f64 x 1/2 1) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x 1/2 1) 3))) (/.f64 1 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x))))) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x 1/2 1) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x 1/2 1) 3)) (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) 1) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (sqrt.f64 (-.f64 0 (*.f64 x 1/2)))) (sqrt.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (*.f64 (cbrt.f64 (-.f64 0 (*.f64 x 1/2))) (cbrt.f64 (-.f64 0 (*.f64 x 1/2))))) (cbrt.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) 1) (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x))))) (sqrt.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x)))))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) x) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) 1) (*.f64 x 1/2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) 1/2) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 1/2 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 1/2 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 1/2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/2) 2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 (*.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))))
(+.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))))
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 -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 (+.f64 2 (-.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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x 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 -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 (+.f64 2 (-.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 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3)))
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 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (fma.f64 x 1/2 1) -1)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 1))))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 x (*.f64 1/2 (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 x (*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) x) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 x (*.f64 1/2 (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 x (*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) x) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (*.f64 (fma.f64 x 1/2 1) -1) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 1)))) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(+.f64 (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)))) (*.f64 (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1)) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 x (*.f64 1/2 (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 x (*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) x) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(+.f64 (*.f64 (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 1)) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)))) (*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 x (*.f64 1/2 (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 x (*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) x) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.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 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (-.f64 0 (*.f64 x 1/2)) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (+.f64 1 (neg.f64 (fma.f64 x 1/2 1))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 1 (fma.f64 1/2 x 1)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 (fma.f64 1/2 x 2) (*.f64 1/2 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (+.f64 (fma.f64 x 1/2 1) (*.f64 1/4 (*.f64 x x))) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 x (*.f64 1/2 (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (*.f64 x x) 1/4 (fma.f64 1/2 x 1)))
(/.f64 (fma.f64 x (*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) x) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -2 (*.f64 x 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -2 (*.f64 1/2 x))))
(/.f64 (neg.f64 x) (+.f64 (*.f64 x -1/2) -2))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 x))
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(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(exp.f64 (log1p.f64 (fma.f64 1/2 x 1)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))
(fma.f64 1/2 x 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 1/2 x 2)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1460×associate-*r/
1188×associate-*l/
1038×distribute-lft-in
256×add-sqr-sqrt
246×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
125538
2337038
Stop Event
1×node limit
Counts
2 → 138
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))
Outputs
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simplify146.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1120×associate-*r/
1082×associate-/l/
974×associate-/r/
816×associate-/l*
670×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03887858
110656922
246356714
Stop Event
1×node limit
Counts
162 → 204
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 x (*.f64 x (fma.f64 x 1/16 -1/8))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x 1/2))
(+.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.f64 x 1/2)))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 1/2) 1))
(+.f64 (*.f64 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) x) (*.f64 x 1/2)))
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x))
(/.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 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.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 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) 1/4)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (neg.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 x (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (*.f64 1 (*.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 (*.f64 1 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (*.f64 1 (*.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 1 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x)) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3))) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) 1/4) x) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) x) (neg.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) x) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) 1) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) 1) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))) 1) (-.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 3)) 1) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))) (*.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) x)) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) x)) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2))) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) 1) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) 1) (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) x) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) 1) (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) x) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3) 1/3)
(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)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/16 -1/8) 1/2))))
(fma.f64 x 1/2 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))
(fma.f64 1/2 x (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))
(+.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16)))
(+.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x -1/8))
(+.f64 (*.f64 (*.f64 x -1/8) 1) (*.f64 (*.f64 x (*.f64 x 1/16)) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) 1) (*.f64 (*.f64 x -1/8) 1))
(+.f64 (*.f64 1 (*.f64 (*.f64 x -1/8) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/16)) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x 1/16 -1/8)))
(/.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) (/.f64 (+.f64 -1/8 (*.f64 -1/16 x)) x))
(/.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) (/.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))) x))
(/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16)))) (-.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))
(/.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (+.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))))
(/.f64 (*.f64 x (-.f64 (*.f64 1/256 (*.f64 x x)) 1/64)) (-.f64 (*.f64 x 1/16) -1/8))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (neg.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (*.f64 x (neg.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (neg.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x)) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x)) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))))) (-.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (+.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) (sqrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/16 -1/8))) (sqrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/16 -1/8)) 2)) (cbrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/16 -1/8)) 2)) (cbrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/256 (*.f64 x x)) 1/64) x) (-.f64 (*.f64 x 1/16) -1/8))
(/.f64 (*.f64 (neg.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) x) (neg.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) x) (neg.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (*.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (*.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16)))) 1) (-.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x -1/8) 3) (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) 1) (+.f64 (*.f64 (*.f64 x -1/8) (*.f64 x -1/8)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x 1/16))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) x)) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 x 1/16 -1/8)) x)) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) 1) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (*.f64 1/256 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (/.f64 (*.f64 x (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) 1) (+.f64 -1/8 (*.f64 -1/16 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (*.f64 1/256 (*.f64 x x))) x) (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))) (cbrt.f64 (+.f64 -1/8 (*.f64 -1/16 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) 1) (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8))))) (sqrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/512 (*.f64 1/4096 (pow.f64 x 3))) x) (*.f64 (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))) (cbrt.f64 (+.f64 1/64 (*.f64 (*.f64 x 1/16) (-.f64 (*.f64 x 1/16) -1/8)))))
(pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 3)
(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)))))
(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))))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16)))
(fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 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 1/2 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)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.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)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.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)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))))
(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 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))
(+.f64 (*.f64 x (*.f64 x -1/8)) (+.f64 (*.f64 x (*.f64 x (*.f64 x 1/16))) (*.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 (*.f64 x (*.f64 x -1/8)) (*.f64 x (+.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(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 x (*.f64 x (fma.f64 x 1/16 -1/8))) 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 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 1) (*.f64 (*.f64 x 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 (*.f64 x -1/8) x) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) 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 (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))
(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) (*.f64 (*.f64 x -1/8) x)) (*.f64 (*.f64 x (*.f64 x 1/16)) 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 x (+.f64 1/2 (*.f64 x -1/8))) (*.f64 x (*.f64 x (*.f64 x 1/16))))
(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 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x (fma.f64 x 1/16 -1/8))) 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 (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 x (/.f64 1 (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 1/4 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2)) (/.f64 (-.f64 1/2 (*.f64 x (fma.f64 x 1/16 -1/8))) x))
(*.f64 (/.f64 (-.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)))) x)
(*.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 (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 2) -1/4))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) (-.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 1/2))) x))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3)) (+.f64 1/4 (*.f64 x (*.f64 (fma.f64 x 1/16 -1/8) (fma.f64 x (fma.f64 x 1/16 -1/8) -1/2))))) x)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8)))))
(*.f64 x (fma.f64 x 1/16 -1/8))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/16 -1/8)) 3))
(*.f64 x (fma.f64 x 1/16 -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(*.f64 x (fma.f64 x 1/16 -1/8))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(*.f64 x (fma.f64 x 1/16 -1/8))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/16 -1/8))) 1))
(*.f64 x (fma.f64 x 1/16 -1/8))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/16 -1/8))))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 x -1/8 (*.f64 x (*.f64 x 1/16)))
(*.f64 x (fma.f64 x 1/16 -1/8))
(fma.f64 -1/8 x (*.f64 x (*.f64 x 1/16)))
(*.f64 x (fma.f64 x 1/16 -1/8))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite89.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1646×add-sqr-sqrt
1622×*-un-lft-identity
1510×add-cube-cbrt
1492×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118219
2204519
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))))))

simplify70.0ms (1%)

Algorithm
1×egg-herbie
Rules
1078×associate-/l*
882×+-commutative
828×*-commutative
574×associate-+r+
544×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064798
1181654
2847630
33047590
47599590
Stop Event
1×node limit
Counts
36 → 37
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 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 x (*.f64 x -1/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)
(*.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))
(pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 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 1/2 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 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/8))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 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 1/2 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 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/8))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 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 1/2 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 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.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 (*.f64 1/2 x) 1) (*.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 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))) 1)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (-.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (*.f64 x (*.f64 x -1/8)) 2)) (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 x -1/8))))
(/.f64 x (/.f64 1 (fma.f64 x -1/8 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x -1/8))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 (*.f64 x x) 3))) (fma.f64 (*.f64 x 1/4) x (*.f64 (*.f64 x (*.f64 x -1/8)) (-.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/512))) (fma.f64 x (*.f64 x 1/4) (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 x -1/8) -1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/512 (pow.f64 x 6))) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 -1/8 (*.f64 x (fma.f64 x -1/8 -1/2))))))
(pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 1)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 2)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 3)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3) 1/3)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 2))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))) 3))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))) 1))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/8)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))

eval547.0ms (8.1%)

Compiler

Compiled 20004 to 15420 computations (22.9% saved)

prune218.0ms (3.3%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New100451009
Fresh011
Picked101
Done189
Total1006141020
Error
0b
Counts
1020 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.2b
(/.f64 x (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
✓20.1b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓20.1b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓20.6b
(/.f64 x 2)
✓0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
▶20.7b
(/.f64 1 (/.f64 2 x))
▶21.2b
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
▶20.2b
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓39.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓21.2b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
✓21.5b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
▶1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.9b
2
Compiler

Compiled 163 to 134 computations (17.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 8 computations (42.9% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
1.0ms
x
@-inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
0.0ms
x
@inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

rewrite51.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1352×add-sqr-sqrt
1334×*-un-lft-identity
1238×add-cube-cbrt
1224×add-cbrt-cube
1208×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
115415
2169415
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 (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 (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 (-.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 /.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 pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))) (#(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 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 exp.f64 (log.f64 (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))))))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1086×times-frac
1000×associate-/l*
798×associate-/r*
770×associate-*r*
730×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091100
12831056
2919916
33474796
Stop Event
1×node limit
Counts
30 → 71
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 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (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 (-.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 (-.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))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log1p.f64 (expm1.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 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 -1/8 (*.f64 x 1/16)))))
(+.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 x -5/128))))))
(-.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 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) -1)
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.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 (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 (*.f64 1/2 (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)) (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 -1 (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (+.f64 (/.f64 -1/8 x) 1/2))))
(+.f64 (expm1.f64 (*.f64 1/2 (log.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 1/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (pow.f64 -1 1/2)) x) (+.f64 (/.f64 -1/8 x) 1/2)))))
(+.f64 (expm1.f64 (*.f64 1/2 (log.f64 x))) (*.f64 (/.f64 (sqrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/2 (+.f64 (/.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 (pow.f64 (+.f64 x 1) 1/2) 1)
(+.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 1 (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 (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 (-.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 (-.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 (sqrt.f64 (+.f64 x 1)) (+.f64 1 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(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)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(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)))
(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)))
(exp.f64 (log.f64 (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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (/.f64 2 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1308×add-sqr-sqrt
1282×*-un-lft-identity
1204×add-cube-cbrt
1194×add-cbrt-cube
1180×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
217247
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 1 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/2)))))))

simplify43.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1388×associate-*r*
1334×associate-/l*
1294×associate-*r/
1160×associate-*l*
928×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068314
1155314
2576308
33759308
Stop Event
1×node limit
Counts
38 → 30
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(*.f64 1 (*.f64 x 1/2))
(*.f64 x 1/2)
(*.f64 (*.f64 x 1/2) 1)
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -1))
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1/2 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1))
(pow.f64 (/.f64 2 x) -1)
(pow.f64 (*.f64 x 1/2) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 1/2) 2))
(log.f64 (exp.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1)
(*.f64 1/2 x)
(*.f64 1 (*.f64 x 1/2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -1))
(*.f64 1/2 x)
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 x)
(*.f64 -1/2 (neg.f64 x))
(*.f64 1/2 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1))
(pow.f64 (sqrt.f64 (/.f64 2 x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 2 x))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (cbrt.f64 (/.f64 2 x)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 x))) (cbrt.f64 (/.f64 4 (*.f64 x x))))
(pow.f64 (/.f64 2 x) -1)
(*.f64 1/2 x)
(pow.f64 (*.f64 x 1/2) 1)
(*.f64 1/2 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(*.f64 1/2 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(*.f64 1/2 x)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(*.f64 1/2 x)
(sqrt.f64 (pow.f64 (*.f64 x 1/2) 2))
(*.f64 1/2 x)
(log.f64 (exp.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(*.f64 1/2 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(exp.f64 (log.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 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
@0
(+.f64 1/2 (/.f64 2 x))
0.0ms
x
@-inf
(+.f64 1/2 (/.f64 2 x))
0.0ms
x
@inf
(+.f64 1/2 (/.f64 2 x))

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1902×add-sqr-sqrt
1870×*-un-lft-identity
1760×add-cube-cbrt
1748×add-cbrt-cube
184×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119832
2241432
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (+.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) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.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)) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 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 (/.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 (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 (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 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 1/2 (/.f64 2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3)))) (#(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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.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 (+.f64 1/2 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 *.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))))) (#(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 1 (/.f64 (-.f64 1/2 (/.f64 2 x)) (-.f64 1/4 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1/4) (-.f64 (/.f64 2 x) 1/2))))) (#(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 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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)) 3) 1/3)))) (#(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 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 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)) 1/2)))))

simplify69.0ms (1%)

Algorithm
1×egg-herbie
Rules
914×associate-+r+
836×associate-+l+
818×unswap-sqr
680×associate-*r/
668×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721981
14051939
214251935
362671935
Stop Event
1×node limit
Counts
87 → 106
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 (exp.f64 (log1p.f64 (/.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 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.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 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.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 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.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))
(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 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.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)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x)))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/2 (/.f64 2 x))))
(*.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 2 x))))
(*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))
(/.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (/.f64 (-.f64 1/2 (/.f64 2 x)) (-.f64 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))
(/.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) -1)
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1/4) (-.f64 (/.f64 2 x) 1/2))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))
(fma.f64 1 (/.f64 2 x) 1/2)
(fma.f64 2 (/.f64 1 x) 1/2)
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 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 1/2 (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (-.f64 2 (/.f64 8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.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 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (-.f64 2 (/.f64 128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (-.f64 2 (/.f64 8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.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 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (-.f64 2 (/.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 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 1 (/.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 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 1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (/.f64 1 (+.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 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 2 x)))))
(/.f64 -1 (+.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 (-.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 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.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 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 1/2 (/.f64 2 x)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 3)
(/.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 1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.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 1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (/.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 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x)))) 1)
(+.f64 1/2 (/.f64 2 x))
(-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(*.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(+.f64 1/2 (/.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))
(+.f64 1/2 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(*.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(/.f64 1 (/.f64 (-.f64 1/2 (/.f64 2 x)) (-.f64 1/4 (/.f64 4 (*.f64 x x)))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(/.f64 1 (/.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 1/8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(+.f64 1/2 (/.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) -1)
(/.f64 (+.f64 -1/2 (/.f64 -2 x)) -1)
(-.f64 1/2 (/.f64 (/.f64 2 x) -1))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (/.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1/4 (/.f64 -1 x))))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1/4) (-.f64 (/.f64 2 x) 1/2))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/4 (/.f64 -4 (*.f64 x x))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) -1/4) (+.f64 (/.f64 2 x) -1/2))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 3)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) 1/3)
(+.f64 1/2 (/.f64 2 x))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))
(+.f64 1/2 (/.f64 2 x))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))
(+.f64 1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) 1/2)
(+.f64 1/2 (/.f64 2 x))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite94.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1126×associate-/r*
976×associate-/l*
926×*-commutative
696×unswap-sqr
674×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
125039
2288339
Stop Event
1×node limit
Counts
3 → 224
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
(/.f64 x (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 -1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (neg.f64 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (/.f64 1 (fma.f64 x 1/2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 x -1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -1/2) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 -2)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))) (+.f64 8 (*.f64 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(cbrt.f64 (+.f64 (*.f64 x -1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (-.f64 (*.f64 1/8 (pow.f64 x 3)) 8)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 4 x) (-.f64 4 x)))) (+.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 2) 3) (pow.f64 (-.f64 4 x) 3))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 4 x) (-.f64 (-.f64 4 x) (pow.f64 (*.f64 x 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) 1) (cbrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) -1) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2))) (sqrt.f64 (+.f64 (*.f64 x -1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)))) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2)))) (sqrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))) (cbrt.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 2))) (cbrt.f64 (fma.f64 x 1/2 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 2))) (cbrt.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))) (*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 x -1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (+.f64 (*.f64 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 2)))))
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simplify118.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
780×associate-*r*
754×associate-*l*
720×distribute-frac-neg
682×*-commutative
598×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05557526
115426930
262016892
Stop Event
1×node limit
Counts
260 → 375
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))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(*.f64 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 x 1/2) 2)
(+.f64 2 (*.f64 x 1/2))
(+.f64 2 (*.f64 -1 (*.f64 x -1/2)))
(+.f64 2 (*.f64 (*.f64 x -1/2) -1))
(+.f64 2 (neg.f64 (*.f64 x -1/2)))
(+.f64 (*.f64 -1 (*.f64 x -1/2)) 2)
(+.f64 (*.f64 (*.f64 x -1/2) -1) 2)
(+.f64 (neg.f64 (*.f64 x -1/2)) 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) -1)
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(*.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))
(*.f64 -1 (+.f64 (*.f64 x -1/2) -2))
(*.f64 (+.f64 (*.f64 x -1/2) -2) -1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 -2)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))) (+.f64 8 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4)) (fma.f64 x 1/2 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 x -1/2) -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (-.f64 (*.f64 1/8 (pow.f64 x 3)) 8)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (+.f64 x 4)))
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(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)) (/.f64 (sqrt.f64 x) 1))
(*.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 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.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 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.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 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) 1) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 1/2 2)) (cbrt.f64 x))
(*.f64 (/.f64 x (+.f64 (neg.f64 (pow.f64 (*.f64 x 1/2) 2)) 4)) (+.f64 (*.f64 x -1/2) 2))
(*.f64 (/.f64 x (+.f64 -8 (neg.f64 (*.f64 1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x 1/2 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 x (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4))) (sqrt.f64 (fma.f64 x 1/2 -2)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4))) (cbrt.f64 (fma.f64 x 1/2 -2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1)) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))) (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 -1 (fma.f64 x 1/2 2)))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 -1 (fma.f64 x 1/2 2)))))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (+.f64 (*.f64 x -1/2) -2)))
(neg.f64 (*.f64 1 (/.f64 x (+.f64 (*.f64 x -1/2) -2))))
(neg.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x -1/2) -2)) 1))
(neg.f64 (/.f64 (/.f64 x (+.f64 (*.f64 x -1/2) -2)) 1))
(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))))
(log.f64 (+.f64 1 (expm1.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 (/.f64 1 (pow.f64 (fma.f64 x 1/2 2) 3)) (pow.f64 x 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))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
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)
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/32 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (*.f64 1/32 (*.f64 x x)))
(fma.f64 x -1/8 (fma.f64 1/32 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/32 (*.f64 x x) (*.f64 -1/128 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 1/32 (*.f64 x x) (*.f64 -1/128 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/8 1/2) (*.f64 (*.f64 x x) (+.f64 1/32 (*.f64 -1/128 x))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 -8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 -8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.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)))
(+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.f64 1/2 x))))
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 (+.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 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3))) (-.f64 (/.f64 8 x) 2))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 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 (+.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 32 (*.f64 x x)) (/.f64 128 (pow.f64 x 3))) (-.f64 (/.f64 8 x) 2))
(+.f64 (*.f64 x 1/2) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 x 1/2))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 -1 (*.f64 x -1/2)))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 (*.f64 x -1/2) -1))
(fma.f64 1/2 x 2)
(+.f64 2 (neg.f64 (*.f64 x -1/2)))
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1 (*.f64 x -1/2)) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 (*.f64 x -1/2) -1) 2)
(fma.f64 1/2 x 2)
(+.f64 (neg.f64 (*.f64 x -1/2)) 2)
(fma.f64 1/2 x 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(fma.f64 1/2 x 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) -1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(+.f64 2 (expm1.f64 (log1p.f64 (*.f64 1/2 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) (fma.f64 1/2 x -2))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(+.f64 2 (expm1.f64 (log1p.f64 (*.f64 1/2 x))))
(*.f64 1 (fma.f64 x 1/2 2))
(fma.f64 1/2 x 2)
(*.f64 (fma.f64 x 1/2 2) 1)
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2)))))
(fma.f64 1/2 x 2)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(-.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) (fma.f64 1/2 x -2))
(*.f64 (+.f64 8 (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))))
(*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 4 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) x)))
(*.f64 -1 (+.f64 (*.f64 x -1/2) -2))
(fma.f64 1/2 x 2)
(*.f64 (+.f64 (*.f64 x -1/2) -2) -1)
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) -2))))
(fma.f64 1/2 x 2)
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2)) (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) -2))))
(fma.f64 1/2 x 2)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))) (neg.f64 (sqrt.f64 (fma.f64 x 1/2 2))))
(fma.f64 1/2 x 2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x 1/2 2))))
(fma.f64 1/2 x 2)
(*.f64 (/.f64 1 (fma.f64 x 1/2 -2)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) -4))
(-.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 2) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -4) (fma.f64 1/2 x -2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 4 x))) (+.f64 8 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 4 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 1 (cbrt.f64 (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) -1))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) -1))
(/.f64 (*.f64 1 (cbrt.f64 (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(/.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 x 1/2 2) 3)) (pow.f64 x 3)))
(/.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 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (/.f64 1 x))
✓0.0b
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
✓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
4 → 33
Calls

12 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 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
@inf
(*.f64 2 (/.f64 1 x))

rewrite114.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1734×associate-*l/
1050×distribute-lft-in
748×associate-/r*
366×associate-/r/
316×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01368
129268
2371068
Stop Event
1×node limit
Counts
4 → 298
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))))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 2 (/.f64 1 x))
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) 1/2)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 2 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 2 (sqrt.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 x)))))))

simplify142.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1122×associate-/l*
984×associate-*r*
828×associate-*l*
730×*-commutative
650×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077618865
1218718125
Stop Event
1×node limit
Counts
331 → 493
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 2 x)
1/2
1/2
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (neg.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 -1/8 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64)) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (*.f64 (*.f64 x x) 1/64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2) (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2)))))
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1)
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))) (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) (neg.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (*.f64 (*.f64 x x) 1/64)))
(*.f64 (/.f64 (-.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 2 x))) (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/64) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) 3))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64)) (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)) (*.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))) (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/512) (*.f64 (pow.f64 x 3) -1/512)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))) (-.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (+.f64 1/2 (/.f64 2 x)) (-.f64 (+.f64 1/2 (/.f64 2 x)) (*.f64 -1/8 x)))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/512) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/512) (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)) (*.f64 (*.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3)))))
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(*.f64 1 (+.f64 1/2 (/.f64 2 x)))
(*.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 2 x))))
(*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(*.f64 (/.f64 1 (-.f64 1/2 (/.f64 2 x))) (-.f64 1/4 (/.f64 4 (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (+.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (+.f64 1/4 (+.f64 (pow.f64 x -1) (/.f64 4 (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (-.f64 1/16 (*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1)) (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1))))) (+.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (pow.f64 x -1)))
(*.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (+.f64 1/64 (pow.f64 (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1)) 3))) (+.f64 1/16 (-.f64 (*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1)) (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1))) (*.f64 1/4 (-.f64 (/.f64 4 (*.f64 x x)) (pow.f64 x -1))))))
(/.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (/.f64 (-.f64 1/2 (/.f64 2 x)) (sqrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (/.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)) (sqrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (cbrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))))) (/.f64 (-.f64 1/2 (/.f64 2 x)) (cbrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))) (/.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)) (cbrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))))
(/.f64 (-.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)) (-.f64 1/8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1/4) (-.f64 (/.f64 2 x) 1/2))
(/.f64 (-.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (*.f64 (-.f64 1/2 (/.f64 2 x)) (+.f64 (/.f64 4 (*.f64 x x)) 1/4)))
(/.f64 (+.f64 1/512 (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (*.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)) (+.f64 1/64 (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 1/8 (/.f64 8 (pow.f64 x 3)))))))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 4 (*.f64 x x)) 3)) (*.f64 (-.f64 1/2 (/.f64 2 x)) (+.f64 1/16 (+.f64 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (*.f64 1/4 (/.f64 4 (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (*.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) 1) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(/.f64 (*.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1/4) 1) (-.f64 (/.f64 2 x) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) 1) (neg.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) 1) (neg.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (*.f64 (-.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))) (+.f64 (/.f64 4 (*.f64 x x)) 1/4))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 4 (*.f64 x x)) 3)) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))) (+.f64 1/16 (+.f64 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (*.f64 1/4 (/.f64 4 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (-.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1/512 (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (+.f64 1/64 (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 1/8 (/.f64 8 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) 1) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 2 x))) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (sqrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))) (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (/.f64 2 x))))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))
(fma.f64 1 (/.f64 2 x) 1/2)
(fma.f64 2 (pow.f64 x -1) 1/2)
(fma.f64 (pow.f64 x -1) 2 1/2)
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) 1)
(/.f64 1 (/.f64 x 2))
(/.f64 2 x)
(/.f64 2 (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 2 x) 1)
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 -2 (neg.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))
(/.f64 (*.f64 1 (/.f64 2 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 2 (sqrt.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 x))
(/.f64 (/.f64 -2 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -2 (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -2 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 -2 (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (/.f64 2 x) 1)
(pow.f64 (sqrt.f64 (/.f64 2 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 2 x)) 3)
(pow.f64 (/.f64 8 (pow.f64 x 3)) 1/3)
(sqrt.f64 (/.f64 4 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))))
(cbrt.f64 (/.f64 8 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 2 x)))
(exp.f64 (log.f64 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) 1))
(log1p.f64 (expm1.f64 (/.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))
(+.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 (*.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)))))
(/.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)))
(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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))))
(-.f64 (neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 256 (pow.f64 x 3)))
(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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))) (/.f64 1536 (pow.f64 x 4))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 256 (pow.f64 x 3))) (/.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)))
(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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))))
(-.f64 (neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 256 (pow.f64 x 3)))
(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 (/.f64 256 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 32 (*.f64 x x))) (/.f64 1536 (pow.f64 x 4))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 256 (pow.f64 x 3))) (/.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)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(/.f64 2 x)
1/2
1/2
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 (+.f64 1/2 (/.f64 2 x)) 0) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 (+.f64 1/2 (/.f64 2 x)) 0) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (*.f64 (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))) (fma.f64 (+.f64 -1/2 (neg.f64 (/.f64 2 x))) 1 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 2 x) (fma.f64 -1/8 x 1/2))) (/.f64 (*.f64 (+.f64 1/2 (/.f64 2 x)) 0) (-.f64 (*.f64 x (*.f64 x 1/64)) (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))))
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(/.f64 (*.f64 (-.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))) (+.f64 (/.f64 4 (*.f64 x x)) 1/4))
(/.f64 (-.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 1/16 (/.f64 (/.f64 16 (*.f64 x x)) (*.f64 x x))) (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 (/.f64 4 (*.f64 x x)) 3)) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))) (+.f64 1/16 (+.f64 (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (*.f64 1/4 (/.f64 4 (*.f64 x x))))))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 4 (*.f64 x x)) 3)) (/.f64 (+.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 (*.f64 x x)) 1/4))) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 1/64 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (/.f64 (+.f64 1/16 (*.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 (*.f64 x x)) 1/4))) (/.f64 1 (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (-.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(/.f64 (-.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 (-.f64 1/8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))))
(*.f64 (/.f64 (-.f64 1/64 (/.f64 (/.f64 64 (pow.f64 x 3)) (pow.f64 x 3))) (-.f64 1/8 (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1/512 (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (+.f64 1/64 (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 1/8 (/.f64 8 (pow.f64 x 3))))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))) (+.f64 1/512 (/.f64 512 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) 1/8))))
(*.f64 (/.f64 (+.f64 1/512 (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (+.f64 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) 1/8)))) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) 1) (-.f64 1/2 (/.f64 2 x)))
(-.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 2 x))) (/.f64 4 (*.f64 (*.f64 x x) (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 2 x))) (sqrt.f64 (-.f64 1/2 (/.f64 2 x)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 2 x))) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))
(/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 2 x))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 2 x))) (cbrt.f64 (-.f64 1/2 (/.f64 2 x))))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) 1) (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1)))) (sqrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))) (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 x x)) 1/4) (pow.f64 x -1))))
(/.f64 (/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x)))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1/4 (/.f64 1 x))))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) 1)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 3)
(+.f64 1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) 1/3)
(+.f64 1/2 (/.f64 2 x))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 2 x)))))
(+.f64 1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3))
(+.f64 1/2 (/.f64 2 x))
(expm1.f64 (log.f64 (+.f64 3/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))) 1))
(+.f64 1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 2 x))))
(+.f64 1/2 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 2 (pow.f64 x -1) 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 (pow.f64 x -1) 2 1/2)
(+.f64 1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) 1/2)
(+.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) 2) 1/2)
(+.f64 1/2 (pow.f64 (sqrt.f64 (/.f64 2 x)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) 1/2)
(+.f64 1/2 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) 1)
(/.f64 2 x)
(/.f64 1 (/.f64 x 2))
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 (neg.f64 (neg.f64 x)))
(/.f64 2 x)
(/.f64 (/.f64 2 x) 1)
(/.f64 2 x)
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 -2 (neg.f64 x))
(/.f64 2 x)
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 1 (/.f64 2 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 2 (sqrt.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 2 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x))) (/.f64 2 (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 (/.f64 2 x)))
(/.f64 (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 x))
(/.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))
(/.f64 (/.f64 -2 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 -2 (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -2 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 -2 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 -2 (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 2 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 2 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 2 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 2 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(pow.f64 (/.f64 2 x) 1)
(/.f64 2 x)
(pow.f64 (sqrt.f64 (/.f64 2 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 2 x)) 3)
(/.f64 2 x)
(pow.f64 (/.f64 8 (pow.f64 x 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 x 3)))
(sqrt.f64 (/.f64 4 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 2 x)))
(/.f64 2 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))))
(/.f64 2 x)
(cbrt.f64 (/.f64 8 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 2 x)))
(/.f64 2 x)
(exp.f64 (log.f64 (/.f64 2 x)))
(/.f64 2 x)
(exp.f64 (*.f64 (log.f64 (/.f64 2 x)) 1))
(/.f64 2 x)
(log1p.f64 (expm1.f64 (/.f64 2 x)))
(/.f64 2 x)

eval519.0ms (7.7%)

Compiler

Compiled 24623 to 19387 computations (21.3% saved)

prune217.0ms (3.2%)

Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New106781075
Fresh011
Picked101
Done11112
Total1069201089
Error
0b
Counts
1089 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
60.9b
(/.f64 x (/.f64 1 (/.f64 2 x)))
20.5b
(/.f64 x (/.f64 1 (*.f64 (/.f64 1 (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))))
✓20.1b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓20.1b
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓20.6b
(/.f64 x 2)
21.2b
(/.f64 1 (/.f64 (-.f64 -1/2 (+.f64 (*.f64 -1/8 x) (/.f64 2 x))) -1))
✓0.3b
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
✓20.7b
(/.f64 1 (/.f64 2 x))
41.1b
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))
41.6b
(/.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))))
21.2b
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 -2 (neg.f64 x)))))
✓20.2b
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
✓39.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
20.5b
(*.f64 (/.f64 x (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))
40.7b
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
✓21.2b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
✓21.5b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
✓1.7b
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
60.9b
2
Compiler

Compiled 224 to 180 computations (19.6% saved)

regimes36.0ms (0.5%)

Counts
26 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (/.f64 1 (/.f64 2 x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(/.f64 x (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 -2 (neg.f64 x)))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 -1/2 (+.f64 (*.f64 -1/8 x) (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 x (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))
(/.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))))
(/.f64 x (/.f64 1 (*.f64 (/.f64 1 (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))))
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(*.f64 (/.f64 -1 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 (+.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:

16.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
12.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 286 to 217 computations (24.1% saved)

regimes25.0ms (0.4%)

Counts
19 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (/.f64 1 (/.f64 2 x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(/.f64 x (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 -2 (neg.f64 x)))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 -1/2 (+.f64 (*.f64 -1/8 x) (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 x (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))
(/.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))))
(/.f64 x (/.f64 1 (*.f64 (/.f64 1 (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))))
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
0.3b2x
Compiler

Compiled 208 to 160 computations (23.1% saved)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
6.14343378627065e-9
0.005708868603459794
Results
13.0ms144×body256valid
Compiler

Compiled 202 to 163 computations (19.3% saved)

regimes15.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (/.f64 1 (/.f64 2 x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16)))))
(/.f64 x (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 -2 (neg.f64 x)))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 -1/2 (+.f64 (*.f64 -1/8 x) (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (*.f64 x x)))) (-.f64 1/2 (/.f64 2 x)))
(*.f64 (/.f64 x (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))
(/.f64 1 (+.f64 (*.f64 x -1/8) (/.f64 (-.f64 1/4 (/.f64 4 (*.f64 x x))) (-.f64 1/2 (/.f64 2 x)))))
(/.f64 x (/.f64 1 (*.f64 (/.f64 1 (+.f64 4 (*.f64 -1/4 (*.f64 x x)))) (+.f64 2 (*.f64 x -1/2)))))
(/.f64 1 (-.f64 (+.f64 (*.f64 -1/8 x) (/.f64 1/4 (-.f64 1/2 (/.f64 2 x)))) (/.f64 4 (*.f64 (-.f64 1/2 (/.f64 2 x)) (*.f64 x x)))))
Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
20.1b1x
Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (/.f64 1 (/.f64 2 x)))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
20.1b1x
Compiler

Compiled 40 to 30 computations (25% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Outputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
20.2b1x
Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -41.7b remaining (-202.8%)

Threshold costs -41.7b (-202.8%)

Counts
4 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
Outputs
(/.f64 x 2)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
20.6b1x
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
8×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036151
151151
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7194230188746725/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 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 7194230188746725/36893488147419103232) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/16))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2))))
(/.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 63 to 50 computations (20.6% saved)

soundness0.0ms (0%)

end46.0ms (0.7%)

Compiler

Compiled 57 to 44 computations (22.8% saved)

Profiling

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