Details

Time bar (total: 2.8s)

analyze3.0ms (0.1%)

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

Compiled 10 to 8 computations (20% saved)

sample988.0ms (35.8%)

Results
975.0ms8252×body256valid
1.0ms4×body2048valid
0.0ms2×body256invalid
Bogosity

preprocess52.0ms (1.9%)

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)

simplify11.0ms (0.4%)

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)

localize10.0ms (0.4%)

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 (0.2%)

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

rewrite115.0ms (4.2%)

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)))))

simplify149.0ms (5.4%)

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)

eval115.0ms (4.2%)

Compiler

Compiled 5411 to 4151 computations (23.3% saved)

prune73.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2955300
Fresh000
Picked011
Done000
Total2956301
Error
0b
Counts
301 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.9b
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
▶19.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶19.8b
(/.f64 x 2)
▶40.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶20.9b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
Compiler

Compiled 81 to 61 computations (24.7% saved)

localize7.0ms (0.3%)

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)

series45.0ms (1.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
44.0ms
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))

rewrite60.0ms (2.2%)

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))))))))

simplify59.0ms (2.1%)

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))

localize5.0ms (0.2%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite82.0ms (3%)

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)))))))

simplify53.0ms (1.9%)

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))

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓4.6b
(+.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)

rewrite57.0ms (2.1%)

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)))))

simplify58.0ms (2.1%)

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)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite63.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1582×add-sqr-sqrt
1556×*-un-lft-identity
1450×add-cube-cbrt
1438×add-cbrt-cube
1422×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118121
2202421
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
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 -1/8 (*.f64 x x)) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))))))

simplify49.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1102×associate-/l*
1088×distribute-lft-in
1042×distribute-rgt-in
694×associate-/r*
686×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063830
1166728
2801592
32540562
Stop Event
1×node limit
Counts
34 → 38
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 -1/8 (*.f64 x x)) 1) (*.f64 x 1/2))
(-.f64 (+.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1)
(*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)
(*.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -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 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -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 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) 1) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(-.f64 (+.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 1 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (-.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 1/64 (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (*.f64 1/2 x) 2)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x)))
(/.f64 (fma.f64 1/64 (pow.f64 x 4) (neg.f64 (*.f64 (*.f64 x x) 1/4))) (*.f64 x (-.f64 (*.f64 x -1/8) 1/2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/4)) (*.f64 x (fma.f64 x -1/8 -1/2)))
(*.f64 x (/.f64 (fma.f64 x -1/8 1/2) 1))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 -1/8 (*.f64 x x))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 x x)) 3) (pow.f64 (*.f64 1/2 x) 3)) (+.f64 (*.f64 1/64 (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 -1/8 (*.f64 (*.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)) (+.f64 (fma.f64 1/64 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/4)) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/512 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 (*.f64 x -1/8))) (*.f64 1/64 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 -1/512 (pow.f64 x 6))) (fma.f64 (*.f64 x x) 1/4 (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/8 -1/2))))
(pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 1)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 2)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 3)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3) 1/3)
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (exp.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2)) 3))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))) 1))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))

eval89.0ms (3.2%)

Compiler

Compiled 3487 to 2599 computations (25.5% saved)

prune35.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2652267
Fresh000
Picked101
Done055
Total2667273
Error
0b
Counts
273 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓19.8b
(/.f64 x 2)
▶20.9b
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓40.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓20.9b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
61.0b
2
Compiler

Compiled 48 to 37 computations (22.9% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1968×add-sqr-sqrt
1938×*-un-lft-identity
1822×add-cube-cbrt
1808×add-cbrt-cube
188×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
119632
2249932
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 -1/8 (*.f64 x x))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (*.f64 -1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (/.f64 1 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))) (neg.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/8 (*.f64 x x) (*.f64 x 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 (*.f64 x x) -1/8 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/8 x) x (*.f64 x 1/2))))))

simplify68.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1528×associate-+r+
1246×associate-+l+
570×times-frac
516×+-commutative
498×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361849
13511703
214001621
354881621
Stop Event
1×node limit
Counts
79 → 70
Calls
Call 1
Inputs
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.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 -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 (exp.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -1/8 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))
(expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(*.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)
(*.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (/.f64 1 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))) (neg.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))
(pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(fma.f64 (*.f64 x x) -1/8 (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(fma.f64 1 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) (*.f64 x 1/2))
(fma.f64 (*.f64 -1/8 x) x (*.f64 x 1/2))
Outputs
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 -1/8 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x)))) 1)
(*.f64 -1/8 (*.f64 x x))
(pow.f64 (*.f64 -1/8 (*.f64 x x)) 1)
(*.f64 -1/8 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(*.f64 -1/8 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) 3)
(*.f64 -1/8 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/512))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))
(*.f64 -1/8 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (*.f64 x x)))))
(*.f64 -1/8 (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/512))
(expm1.f64 (log1p.f64 (*.f64 -1/8 (*.f64 x x))))
(*.f64 -1/8 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))))
(*.f64 -1/8 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (*.f64 x x))) 1))
(*.f64 -1/8 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -1/8 (*.f64 x x))))
(*.f64 -1/8 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))) 1)
(*.f64 x (fma.f64 -1/8 x 1/2))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 1 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (/.f64 1 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) 1) (fma.f64 (*.f64 x x) 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) 1) (fma.f64 (*.f64 x x) 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) 1) (fma.f64 (*.f64 x x) 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) 1) (fma.f64 (*.f64 x x) 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64))) (neg.f64 (*.f64 x (-.f64 1/2 (*.f64 -1/8 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 x (-.f64 1/2 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 1/64 (pow.f64 x 3))) (fma.f64 x 1/8 1/2))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 (*.f64 x x) 3) -1/512)) 1) (fma.f64 (*.f64 x x) 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 x (*.f64 x 1/4) (*.f64 1/8 (*.f64 (pow.f64 x 3) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/512 (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 6) -1/512)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 -1/8 (*.f64 x 1/2))))))
(pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 1)
(*.f64 x (fma.f64 -1/8 x 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 2)
(*.f64 x (fma.f64 -1/8 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 3)
(*.f64 x (fma.f64 -1/8 x 1/2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3) 1/3)
(*.f64 x (fma.f64 -1/8 x 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2)) 3))
(*.f64 x (fma.f64 -1/8 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))) 1))
(*.f64 x (fma.f64 -1/8 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 -1/8 x) 1/2))))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 -1/8 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 (*.f64 x x) -1/8 (*.f64 x 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 1/2 x (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 1 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 -1/8 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 (cbrt.f64 (*.f64 -1/8 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64))))
(fma.f64 (*.f64 -1/8 x) x (*.f64 x 1/2))
(*.f64 x (fma.f64 -1/8 x 1/2))

eval20.0ms (0.7%)

Compiler

Compiled 1030 to 727 computations (29.4% saved)

prune11.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done055
Total70777
Error
0b
Counts
77 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓19.8b
(/.f64 x 2)
✓20.9b
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓40.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓20.9b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
61.0b
2
Compiler

Compiled 48 to 37 computations (22.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓19.6b
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓19.8b
(/.f64 x 2)
✓20.9b
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓40.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓20.9b
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
61.0b
2
Compiler

Compiled 48 to 37 computations (22.9% saved)

regimes24.0ms (0.9%)

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

2 calls:

5.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes11.0ms (0.4%)

Counts
6 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.0b2x
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch19.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.5083746308879877e-15
43718693.703867406
Results
16.0ms176×body256valid
Compiler

Compiled 222 to 175 computations (21.2% saved)

regimes21.0ms (0.8%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
19.6b1x
Compiler

Compiled 30 to 21 computations (30% saved)

regimes4.0ms (0.2%)

Accuracy

Total -42.5b remaining (-214.7%)

Threshold costs -42.5b (-214.7%)

Counts
3 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
Outputs
(/.f64 x 2)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
19.8b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028101
138101
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 8028023020878397/1180591620717411303424) (+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 8028023020878397/1180591620717411303424) (+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 8028023020878397/1180591620717411303424) (+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 43 to 33 computations (23.3% saved)

soundness214.0ms (7.8%)

Algorithm
2×egg-herbie
Rules
814×associate-+l+
814×associate-+l+
782×associate-+r+
782×associate-+r+
640×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04617516
112346766
251606716
04617516
112346766
251606716
Stop Event
1×node limit
1×node limit
Compiler

Compiled 182 to 136 computations (25.3% saved)

end64.0ms (2.3%)

Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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