Details

Time bar (total: 6.9s)

analyze20.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.8%87.2%0%0%0%0
0%0%12.8%87.2%0%0%0%1
0%0%12.8%87.2%0%0%0%2
50%6.4%6.4%87.2%0%0%0%3
57.1%6.4%4.8%87.2%0%1.6%0%4
69.2%7.2%3.2%87.2%0%2.4%0%5
75%7.2%2.4%87.2%0%3.2%0%6
82.6%7.6%1.6%87.2%0%3.6%0%7
86.4%7.6%1.2%87.2%0%4%0%8
90.7%7.8%0.8%87.2%0%4.2%0%9
92.6%7.8%0.6%87.2%0%4.4%0%10
95%7.9%0.4%87.2%0%4.5%0%11
96.3%8%0.3%87.2%0%4.5%0%12
Compiler

Compiled 25 to 17 computations (32% saved)

sample1.5s (21.2%)

Results
809.0ms5906×body256valid
340.0ms1131×body1024valid
274.0ms1184×body512valid
17.0ms184×body256invalid
11.0ms35×body2048valid
Bogosity

preprocess35.0ms (0.5%)

Algorithm
egg-herbie
Rules
332×fma-def
150×associate--r+
124×associate-+l-
108×associate-+l+
96×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
12446
23846
36646
410346
521946
657046
771346
890846
994446
1095446
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify27.0ms (0.4%)

Algorithm
egg-herbie
Rules
182×fma-def
110×associate--r+
76×associate-+l-
62×distribute-lft-in
60×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11523
22323
33723
45723
510523
627123
735323
844023
952923
1057723
1158123
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
26.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x x) eps)
4.8b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series4.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
@inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
x
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms
eps
@-inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

rewrite96.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
924×*-commutative
868×associate-*r/
656×associate-*l/
648×distribute-lft-in
638×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
120036
2284136
Stop Event
node limit
Counts
2 → 207
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
Outputs
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#<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))))))

simplify160.0ms (2.3%)

Algorithm
egg-herbie
Rules
1080×associate-+r-
968×fma-def
702×associate-*r*
552×associate-*l*
544×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059013411
1169512657
2788712657
Stop Event
node limit
Counts
247 → 356
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 x (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(*.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 eps (*.f64 x (-.f64 x x))))
(*.f64 (/.f64 1 (fma.f64 x x (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(*.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (+.f64 eps (*.f64 x (-.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (pow.f64 x 4) (*.f64 (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (-.f64 (+.f64 eps (*.f64 x (-.f64 x x))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (+.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 x x)))))
(/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
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(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))) (+.f64 (pow.f64 x 4) (*.f64 eps (-.f64 eps (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps (fma.f64 x x eps)) (*.f64 eps (fma.f64 x x eps))))) (-.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps (fma.f64 x x eps)) 3))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps (fma.f64 x x eps)) (-.f64 (*.f64 eps (fma.f64 x x eps)) (pow.f64 x 4)))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (fma.f64 x x eps))
(/.f64 (fma.f64 x x eps) (/.f64 (fma.f64 x x eps) (-.f64 (*.f64 x x) eps)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (-.f64 (*.f64 x x) eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (/.f64 (fma.f64 x x eps) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (*.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (*.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps eps) 3)) (*.f64 (fma.f64 x x eps) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3))) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) 1) (neg.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 1 (fma.f64 x x eps))) (+.f64 (pow.f64 x 4) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 eps eps) 3)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 x 4) (*.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (*.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) 1) (fma.f64 x x eps))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (fma.f64 x x eps)))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 1 (*.f64 x x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(fma.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 eps eps)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (*.f64 (*.f64 -1/8 eps) eps) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6))))) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
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(-.f64 (*.f64 x x) eps)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)
(-.f64 (*.f64 x x) eps)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)
(-.f64 (*.f64 x x) eps)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(-.f64 (*.f64 x x) eps)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (*.f64 x x) eps)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(-.f64 (*.f64 x x) eps)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(fma.f64 x x (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 1 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) eps)

eval103.0ms (1.5%)

Compiler

Compiled 9159 to 3216 computations (64.9% saved)

prune59.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3515356
Fresh000
Picked011
Done000
Total3516357
Error
0b
Counts
357 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
26.1b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
29.4b
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.4b
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
61.7b
(*.f64 x 2)
33.9b
(*.f64 1/2 (/.f64 eps x))
Compiler

Compiled 112 to 76 computations (32.1% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0b
(-.f64 (*.f64 x x) eps)
0.3b
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Compiler

Compiled 42 to 12 computations (71.4% saved)

series8.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite89.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1368×associate-/r*
1134×*-commutative
988×associate-/l*
822×associate-/r/
532×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
127452
2374652
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
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simplify116.0ms (1.7%)

Algorithm
egg-herbie
Rules
980×associate-+r+
964×+-commutative
740×associate-+l+
732×times-frac
682×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04799289
114518639
266728639
Stop Event
node limit
Counts
171 → 259
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
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(*.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(*.f64 (/.f64 1 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (fma.f64 x x eps) (*.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (+.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x))) (*.f64 1 (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 1 (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x)))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x))))))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (/.f64 (*.f64 -1/8 (*.f64 eps eps)) (pow.f64 x 3))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (+.f64 x x)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (*.f64 1 (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (*.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (*.f64 x (+.f64 x x)) eps)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (*.f64 x (+.f64 x x)) eps)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2) 3)) (*.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3)) (*.f64 (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (*.f64 x (*.f64 x (fma.f64 x x (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 (*.f64 x x) eps) (-.f64 (*.f64 x (+.f64 x x)) eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (-.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x)
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x)
(+.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) x)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 13
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms
eps
@inf
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms
x
@0
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms
eps
@-inf
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms
x
@inf
(-.f64 x (sqrt.f64 (neg.f64 eps)))

rewrite53.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1618×add-sqr-sqrt
1600×*-un-lft-identity
1494×add-cube-cbrt
1480×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
117011
2232111
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))))))

simplify57.0ms (0.8%)

Algorithm
egg-herbie
Rules
1436×associate-/l*
1146×associate-+l+
1124×associate-*r*
954×associate-*l*
740×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061082
1261962
21031900
34662898
Stop Event
node limit
Counts
50 → 61
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(*.f64 (-.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (-.f64 x (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
x
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
x
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)) x)
x
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(-.f64 x (sqrt.f64 eps))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
(fma.f64 -1 (pow.f64 eps 1/2) x)
(-.f64 x (pow.f64 eps 1/2))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) x)
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 eps)) (cbrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(-.f64 x (sqrt.f64 eps))
(*.f64 (-.f64 x (sqrt.f64 eps)) 1)
(-.f64 x (sqrt.f64 eps))
(*.f64 1 (-.f64 x (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(-.f64 x (sqrt.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x)))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(*.f64 (+.f64 (pow.f64 eps 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x)))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x)))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 eps) (sqrt.f64 eps))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(/.f64 (-.f64 (*.f64 x x) eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (-.f64 x (sqrt.f64 eps)) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (neg.f64 (sqrt.f64 eps)) (-.f64 (neg.f64 (sqrt.f64 eps)) x))))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) eps)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 (sqrt.f64 eps) x)))
(/.f64 (fma.f64 x x eps) (+.f64 (sqrt.f64 eps) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 (sqrt.f64 eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 (sqrt.f64 eps) x (fma.f64 x x eps)))
(pow.f64 (-.f64 x (sqrt.f64 eps)) 1)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(-.f64 x (sqrt.f64 eps))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(-.f64 x (sqrt.f64 eps))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(-.f64 x (sqrt.f64 eps))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(-.f64 x (sqrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(-.f64 x (sqrt.f64 eps))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))
(-.f64 x (sqrt.f64 eps))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(-.f64 x (sqrt.f64 eps))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 x (sqrt.f64 eps))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0b
(-.f64 (*.f64 x x) eps)
0.1b
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
0.2b
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
Compiler

Compiled 62 to 21 computations (66.1% saved)

series7.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite93.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1226×associate-/r*
924×associate-/r/
806×associate-/l*
330×associate-+l+
314×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01564
133158
2441458
Stop Event
node limit
Counts
2 → 203
Calls
Call 1
Inputs
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Outputs
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simplify95.0ms (1.4%)

Algorithm
egg-herbie
Rules
1596×associate-/l*
1218×associate-/r*
890×associate-*r*
748×associate-/l/
612×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066410863
1190710333
Stop Event
node limit
Counts
235 → 331
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 eps 3)) (*.f64 -1/32 (pow.f64 eps 3))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))))
(*.f64 2 (/.f64 x eps))
(-.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (*.f64 2 (/.f64 x eps)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (+.f64 (*.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 eps) (*.f64 1/8 eps))) (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
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(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (*.f64 eps eps)) (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) eps) eps)
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) 1) (*.f64 eps eps))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (sqrt.f64 eps)) (*.f64 (sqrt.f64 eps) eps))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (cbrt.f64 (*.f64 eps eps))) (*.f64 (cbrt.f64 eps) eps))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (*.f64 eps (sqrt.f64 eps))) (sqrt.f64 eps))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (*.f64 eps (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) eps)
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps eps))) (*.f64 (cbrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps eps)) (/.f64 1 eps))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) (/.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) eps) eps)
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (*.f64 eps eps))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 eps)) (*.f64 (sqrt.f64 eps) eps))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (*.f64 eps eps))) (*.f64 (cbrt.f64 eps) eps))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps (sqrt.f64 eps))) (sqrt.f64 eps))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (*.f64 (*.f64 eps eps) -1) eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 3) -1) (*.f64 eps eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (*.f64 -1 (*.f64 eps eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) eps)
(/.f64 (/.f64 (*.f64 -1 (pow.f64 eps 3)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 eps eps))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 1 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (-.f64 (+.f64 (*.f64 x x) (*.f64 x x)) eps))
(*.f64 (/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x)))))
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(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.f64 eps)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 (+.f64 eps 0)))
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 eps 0)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))) (cbrt.f64 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 3))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) (-.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) (pow.f64 x 3)))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (*.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(*.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x x)) (+.f64 eps (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (*.f64 x x) eps) 3))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval420.0ms (6.1%)

Compiler

Compiled 30677 to 12576 computations (59% saved)

prune325.0ms (4.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New112241126
Fresh000
Picked101
Done235
Total112571132
Error
0b
Counts
1132 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
26.1b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
29.4b
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.4b
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
34.0b
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
33.9b
(*.f64 1/2 (/.f64 eps x))
61.7b
x
Compiler

Compiled 64 to 42 computations (34.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1660×add-sqr-sqrt
1634×*-un-lft-identity
1538×add-cube-cbrt
1522×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
122313
2264013
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))))))

simplify57.0ms (0.8%)

Algorithm
egg-herbie
Rules
1074×associate-+r-
1074×associate-+l-
852×distribute-lft-neg-in
766×associate-/l/
606×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113858
1315858
21507858
35034858
Stop Event
node limit
Counts
66 → 46
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0))
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x)))
(+.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)
(/.f64 eps (*.f64 x 2))
(/.f64 1 (/.f64 x (*.f64 eps 1/2)))
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 eps 1/2) x)
(/.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps)))
(/.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2)))
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(/.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps))
(/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps)
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps))
(/.f64 (*.f64 -1/2 eps) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x))
(/.f64 (/.f64 (*.f64 eps 1/2) 1) x)
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2)))
(/.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x)))
(/.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps))
(/.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps)))
(/.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps))
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps)))
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 (/.f64 1/2 x) 0))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(+.f64 (*.f64 eps (/.f64 1/2 x)) (*.f64 0 (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(+.f64 (*.f64 (/.f64 1/2 x) 0) (*.f64 eps (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(+.f64 (*.f64 0 (/.f64 1/2 x)) (*.f64 eps (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x)))) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 eps (*.f64 x 2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 1 (/.f64 x (*.f64 eps 1/2)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (pow.f64 eps 3) (*.f64 (*.f64 x 2) (*.f64 eps eps)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (*.f64 eps eps) 1) (*.f64 eps (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (/.f64 1/2 x) (pow.f64 eps 3)) (*.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) eps)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1/2 x)) (*.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 -1/2 eps) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (*.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (/.f64 (*.f64 eps 1/2) 1) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (/.f64 (*.f64 eps 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (*.f64 eps eps) (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (*.f64 eps eps) (neg.f64 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 x (*.f64 eps eps)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (neg.f64 x) eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (*.f64 eps eps)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(/.f64 (neg.f64 (*.f64 eps 1/2)) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(pow.f64 (*.f64 eps (/.f64 1/2 x)) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 1/2 x))) 2)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) 3)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3) 1/3)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 1/2 x)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 1/2 x)) 3))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 1/2 x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(exp.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 1/2 x))) 1))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 1/2 x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 x 1/2))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 12 computations (75.5% saved)

series2.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite80.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1608×associate-*r/
1284×associate-*l/
712×associate-/r*
548×associate-/l*
296×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
125929
2356529
Stop Event
node limit
Counts
1 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
Outputs
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))))

simplify96.0ms (1.4%)

Algorithm
egg-herbie
Rules
1504×distribute-lft-in
1492×distribute-rgt-in
726×associate-/l*
612×associate-+r+
508×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03936863
110746523
245366503
Stop Event
node limit
Counts
123 → 209
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
(/.f64 1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (sqrt.f64 eps))))
(/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps))))
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (cbrt.f64 (sqrt.f64 eps))))
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 (cbrt.f64 eps))))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 -1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))
(/.f64 (sqrt.f64 (sqrt.f64 eps)) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (sqrt.f64 eps))))
(/.f64 (sqrt.f64 (neg.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (neg.f64 eps))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)) (sqrt.f64 (cbrt.f64 eps))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (sqrt.f64 (cbrt.f64 (*.f64 eps eps)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (neg.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 (cbrt.f64 (*.f64 eps eps)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)) (cbrt.f64 (cbrt.f64 (*.f64 eps eps)))))
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 eps -1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (/.f64 1 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (*.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)))
(/.f64 (neg.f64 (cbrt.f64 (*.f64 eps eps))) (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps)))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (*.f64 1 (*.f64 eps -1)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 1 (/.f64 eps 1)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))) -1) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (/.f64 eps (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (+.f64 (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) 1) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 1) (cbrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (sqrt.f64 eps) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) 1) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps)))
(/.f64 (*.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 1 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (*.f64 eps (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(/.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (neg.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (neg.f64 eps) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (neg.f64 eps) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (*.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (*.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (*.f64 eps -1) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x))))))
(fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 x (*.f64 x (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))))
(fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (*.f64 (*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (*.f64 x x)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128))))
(-.f64 (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
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(/.f64 (*.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (neg.f64 eps) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (neg.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (*.f64 eps -1) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (*.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (*.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (*.f64 eps -1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))))
(/.f64 eps (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0b
(-.f64 (*.f64 x x) eps)
0.3b
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Compiler

Compiled 36 to 7 computations (80.6% saved)

series1.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite107.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1420×associate-*r/
1090×*-commutative
1034×associate-*l/
930×associate-/r*
748×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
122429
2327729
Stop Event
node limit
Counts
1 → 45
Calls
Call 1
Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))))

simplify81.0ms (1.2%)

Algorithm
egg-herbie
Rules
1056×associate-/l*
962×times-frac
958×associate-*r/
742×associate-/r*
596×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02033129
15602809
220702753
Stop Event
node limit
Counts
61 → 97
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (pow.f64 eps 4)) (*.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (*.f64 eps (pow.f64 x 5)))) (*.f64 -1/4 (/.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))
(*.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1))
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
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(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0)))
(*.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps eps))
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (fma.f64 x x (-.f64 (-.f64 (*.f64 x x) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (+.f64 x x)) eps) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps)
(*.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval470.0ms (6.8%)

Compiler

Compiled 27222 to 10577 computations (61.1% saved)

prune560.0ms (8.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New104161047
Fresh011
Picked011
Done145
Total1042121054
Error
0b
Counts
1054 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
52.1b
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
53.0b
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
52.9b
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
0.3b
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
27.3b
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
34.0b
(/.f64 1/2 (/.f64 x eps))
26.1b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
29.4b
(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.4b
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
34.0b
(*.f64 (/.f64 1/2 x) eps)
33.9b
(*.f64 1/2 (/.f64 eps x))
61.7b
x
Compiler

Compiled 165 to 108 computations (34.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (neg.f64 eps)))
0.3b
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts
2 → 26
Calls

12 calls:

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

rewrite65.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1968×add-sqr-sqrt
1950×*-un-lft-identity
1824×add-cube-cbrt
1804×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
119428
2282728
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))))))

simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
1278×associate-*r/
1066×unswap-sqr
852×associate-*l/
602×*-commutative
480×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02132462
15372224
225222158
Stop Event
node limit
Counts
96 → 115
Calls
Call 1
Inputs
(/.f64 eps x)
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))))))
(/.f64 eps x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 eps 5)))))))
(/.f64 eps x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 eps x)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 3)) (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (+.f64 (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 -1 (*.f64 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) x)
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))) 1)
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(*.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 eps))) eps)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 eps (fma.f64 x x eps)) (-.f64 x (sqrt.f64 eps)))
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 eps)) eps) -1)
(neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps))) 3))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 eps))) (/.f64 eps (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (+.f64 x (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) (sqrt.f64 (+.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 (fma.f64 x x eps) (-.f64 x (sqrt.f64 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 eps (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (-.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))
(fma.f64 1 x (sqrt.f64 eps))
(fma.f64 1 (sqrt.f64 eps) x)
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))
Outputs
(/.f64 eps x)
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (-.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 eps)) eps))
(/.f64 (-.f64 eps (*.f64 x x)) (-.f64 (sqrt.f64 eps) x))
(pow.f64 (+.f64 x (sqrt.f64 eps)) 1)
(+.f64 x (sqrt.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 eps))) 2)
(+.f64 x (sqrt.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 eps))) 3)
(+.f64 x (sqrt.f64 eps))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3) 1/3)
(+.f64 x (sqrt.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 2))
(+.f64 x (sqrt.f64 eps))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 x (sqrt.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 eps)))))
(+.f64 x (sqrt.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 eps)) 3))
(+.f64 x (sqrt.f64 eps))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 x (sqrt.f64 eps))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 eps))) 1))
(+.f64 x (sqrt.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 eps))))
(+.f64 x (sqrt.f64 eps))
(fma.f64 1 x (sqrt.f64 eps))
(+.f64 x (sqrt.f64 eps))
(fma.f64 1 (sqrt.f64 eps) x)
(+.f64 x (sqrt.f64 eps))
(fma.f64 (pow.f64 eps 1/4) (pow.f64 eps 1/4) x)
(+.f64 x (pow.f64 eps 1/2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 eps))
(+.f64 x (sqrt.f64 eps))
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (sqrt.f64 eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 eps))
(+.f64 x (sqrt.f64 eps))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1/2 x) eps)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1452×add-sqr-sqrt
1428×*-un-lft-identity
1334×add-cube-cbrt
1318×add-cbrt-cube
1304×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114813
2179813
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (/.f64 1/2 x) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))))))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
1854×distribute-rgt-in
1842×distribute-lft-in
1122×associate-*r*
976×associate-*l*
650×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061598
1144598
2550598
34244598
Stop Event
node limit
Counts
46 → 23
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (*.f64 x 2))
(/.f64 1 (/.f64 x (*.f64 1/2 eps)))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (*.f64 -1/2 eps) (neg.f64 x))
(/.f64 (/.f64 (*.f64 1/2 eps) 1) x)
(/.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x))
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps (*.f64 x 2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1 (/.f64 x (*.f64 1/2 eps)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 eps) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (/.f64 (*.f64 1/2 eps) 1) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (/.f64 (*.f64 1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x))
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(*.f64 1/2 (/.f64 eps x))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))
(*.f64 1/2 (/.f64 eps x))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(*.f64 1/2 (/.f64 eps x))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(*.f64 1/2 (/.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))
(*.f64 1/2 (/.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/2 (/.f64 x eps))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1616×add-sqr-sqrt
1592×*-un-lft-identity
1492×add-cube-cbrt
1476×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115413
2200813
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))))))

simplify71.0ms (1%)

Algorithm
egg-herbie
Rules
1176×associate-/l*
1130×distribute-lft-in
1038×distribute-rgt-in
894×associate-+r+
842×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071706
1162706
2647706
32594706
Stop Event
node limit
Counts
52 → 29
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 eps x)))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 (/.f64 1/2 x) eps)
(*.f64 (/.f64 eps x) 1/2)
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))
(*.f64 (*.f64 (/.f64 1/2 x) 1) eps)
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x eps) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 1 (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 x) eps)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (/.f64 1/2 x) 1) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (/.f64 1/2 x) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)))
(*.f64 (/.f64 1/2 (neg.f64 x)) (neg.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) 2)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 3)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3) 1/3)
(*.f64 1/2 (/.f64 eps x))
(pow.f64 (*.f64 (/.f64 x eps) 2) -1)
(*.f64 1/2 (/.f64 eps x))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 x eps) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(*.f64 1/2 (/.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))) 1))
(*.f64 1/2 (/.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
35.6b
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1638×associate-*r/
1150×associate-*l/
1022×*-commutative
696×swap-sqr
330×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119313
2283513
Stop Event
node limit
Counts
1 → 94
Calls
Call 1
Inputs
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 eps (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) (/.f64 eps (*.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (/.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 eps 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 eps eps) (*.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 eps 2)) (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (*.f64 eps eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x 2)) (/.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (*.f64 eps 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 eps (*.f64 x -2))) (*.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) (/.f64 eps (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 2) (/.f64 (sqrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (/.f64 (sqrt.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (cbrt.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 eps (*.f64 x -2))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (sqrt.f64 eps))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 eps (*.f64 x 2)) (cbrt.f64 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 2) eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))))))

simplify110.0ms (1.6%)

Algorithm
egg-herbie
Rules
1934×associate-+l-
834×*-commutative
796×associate--r+
508×unswap-sqr
420×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02082754
15992660
225602656
361012656
Stop Event
node limit
Counts
118 → 112
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) 1)
(*.f64 eps (/.f64 1 (*.f64 x 2)))
(*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps (*.f64 x 2)) 1)
(*.f64 1 (/.f64 eps (*.f64 x 2)))
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))
(*.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps))
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps))
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1))
(*.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2)))
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 eps x) (/.f64 eps (*.f64 eps 2)))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 (/.f64 eps 2) (/.f64 1 x))
(*.f64 (/.f64 eps 1) (/.f64 1 (*.f64 x 2)))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 x) (/.f64 eps 2))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 eps eps) (*.f64 eps 2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 eps (*.f64 eps 2)) (/.f64 eps x))
(*.f64 (/.f64 1 (*.f64 x 2)) eps)
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (*.f64 eps eps) eps))
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 eps 1))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps 2)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x -2))) (*.f64 eps (neg.f64 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (cbrt.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) (/.f64 eps (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) 2))
(*.f64 (/.f64 (sqrt.f64 eps) 2) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (/.f64 (sqrt.f64 eps) 1))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (cbrt.f64 eps) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 eps) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps (*.f64 eps (*.f64 x -2))) (neg.f64 eps))
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (sqrt.f64 eps))) (sqrt.f64 eps))
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps (*.f64 x 2)) (cbrt.f64 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 eps) 2))
(pow.f64 (/.f64 eps (*.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x 2) eps) -1)
(neg.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))
(neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))) 1))
(neg.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x -2)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2)))))
(neg.f64 (/.f64 eps (*.f64 x -2)))
(neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps)))
(neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2))))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x 2)))) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 1 (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (*.f64 x 2)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1 (/.f64 eps (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) (sqrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (pow.f64 eps 4))))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (/.f64 1 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x 2))) (*.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (*.f64 eps (neg.f64 eps)) (/.f64 1 (*.f64 eps (*.f64 x -2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (cbrt.f64 (pow.f64 eps 4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 1 (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) eps)) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) eps)) (sqrt.f64 (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 eps (/.f64 eps (sqrt.f64 (*.f64 eps (*.f64 x 2))))) (sqrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps x) (/.f64 eps (*.f64 eps 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps 2) (/.f64 1 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps 1) (/.f64 1 (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 x) (/.f64 eps 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 eps eps) (*.f64 eps 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) eps)) (/.f64 1 (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps (*.f64 x 2))) eps)) (sqrt.f64 (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 eps (/.f64 eps (sqrt.f64 (*.f64 eps (*.f64 x 2))))) (sqrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (/.f64 eps (*.f64 eps 2)) (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 x 2)) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 (*.f64 eps eps) eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 x 2)) (/.f64 eps 1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps 2)) (/.f64 1 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 eps (*.f64 x -2))) (*.f64 eps (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (*.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (cbrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) eps))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps 2)) (/.f64 (cbrt.f64 (pow.f64 eps 4)) x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 x 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (sqrt.f64 (*.f64 eps (*.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 eps (*.f64 x 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2)))
(/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 2))) 2) (cbrt.f64 (pow.f64 eps 4))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) (/.f64 eps (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 eps) 2) (/.f64 (sqrt.f64 eps) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (sqrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 eps) (*.f64 x 2)) (/.f64 (sqrt.f64 eps) 1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x 2))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (/.f64 eps (cbrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (cbrt.f64 (*.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (cbrt.f64 eps) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (cbrt.f64 eps) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x 2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (cbrt.f64 eps) (*.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x 2))))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (/.f64 1 (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (/.f64 eps (*.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 1/2 x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)))
(*.f64 (/.f64 eps (*.f64 eps (*.f64 x -2))) (neg.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (sqrt.f64 eps))) (sqrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (/.f64 (*.f64 eps (*.f64 x 2)) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps (*.f64 x 2)) (cbrt.f64 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 eps (*.f64 x 2))) (pow.f64 (cbrt.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))) (*.f64 eps (*.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 x) eps) (*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 1/2 x) eps)))
(pow.f64 (/.f64 eps (*.f64 x 2)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x 2))) 2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x 2))) 3)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3) 1/3)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(pow.f64 (/.f64 (*.f64 x 2) eps) -1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2))) 1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps (*.f64 x -2)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (*.f64 1 (/.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x -2)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (/.f64 eps (*.f64 x -2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(neg.f64 (/.f64 (*.f64 eps (/.f64 eps (*.f64 x 2))) (neg.f64 eps)))
(neg.f64 (/.f64 eps (/.f64 (neg.f64 eps) (/.f64 eps (*.f64 x 2)))))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(/.f64 (*.f64 eps (/.f64 -1/2 x)) -1)
(neg.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (*.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(log.f64 (exp.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x 2)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x 2)) 3))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 eps (*.f64 x 2)) 3)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x 2) 3)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x 2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 eps eps) 1/2)
35.7b
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
Compiler

Compiled 25 to 10 computations (60% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite70.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1048×*-commutative
810×unswap-sqr
730×swap-sqr
666×associate-/l/
618×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
119426
2280926
Stop Event
node limit
Counts
2 → 137
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(*.f64 (*.f64 eps eps) 1/2)
Outputs
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simplify73.0ms (1.1%)

Algorithm
egg-herbie
Rules
1198×distribute-rgt-in
1192×distribute-lft-in
740×associate-/l*
528×associate-*l*
514×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03104405
19453975
243153975
Stop Event
node limit
Counts
173 → 174
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (pow.f64 eps 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)
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(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
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(neg.f64 (/.f64 (*.f64 eps 1/2) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps x)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 eps x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 eps x) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1))
(pow.f64 (*.f64 eps (*.f64 eps 1/2)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) 1/3)
(neg.f64 (*.f64 eps (*.f64 eps -1/2)))
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps 1/2))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x)))) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 (*.f64 eps 1/2) (*.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 eps eps) (*.f64 1/2 (/.f64 1 (*.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 eps (*.f64 eps 1/2)) (/.f64 1 (*.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 1/2 (/.f64 eps x)) 1)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1 (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x))))
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x))
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x))
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (/.f64 (/.f64 1 eps) x) (cbrt.f64 (*.f64 1/2 (*.f64 eps eps)))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) (*.f64 eps x)))
(*.f64 (*.f64 eps 1/2) (/.f64 1 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (*.f64 eps x)) (*.f64 eps (*.f64 eps 1/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 eps (*.f64 eps -1/2)) (/.f64 1 (*.f64 x (neg.f64 eps))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 (*.f64 eps x))) 1/2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 1 (*.f64 eps x))) (*.f64 eps (sqrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x))
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x))
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) (/.f64 1 (*.f64 eps x))) (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (*.f64 (/.f64 (/.f64 1 eps) x) (cbrt.f64 (*.f64 1/2 (*.f64 eps eps)))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 eps 4))) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 eps eps))) (*.f64 eps x)))
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 (*.f64 eps eps) 1) (/.f64 1/2 (*.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 eps) (/.f64 (*.f64 eps (*.f64 eps 1/2)) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 x) (*.f64 eps 1/2))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x))))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 1/2 eps) (/.f64 (*.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (/.f64 (*.f64 eps eps) 1))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 eps eps) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) (cbrt.f64 (*.f64 eps x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps x))) (*.f64 eps eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 eps))) (*.f64 eps (*.f64 eps -1/2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps eps)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 (/.f64 eps eps)) (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 (*.f64 eps 1/2) (*.f64 eps x)) eps)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 eps x))) (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 (*.f64 eps 1/2) (sqrt.f64 (*.f64 eps x))) (/.f64 eps (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps 1/2) (cbrt.f64 (*.f64 eps x))))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 (*.f64 eps 1/2) (cbrt.f64 (*.f64 eps x))) (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x))) (/.f64 1/2 (sqrt.f64 (*.f64 eps x))))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 eps eps)) (sqrt.f64 (*.f64 eps x))) (/.f64 1 (sqrt.f64 (*.f64 eps x))))
(/.f64 1/2 (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps x)))))
(/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) (/.f64 eps (/.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))
(*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 1/2 (cbrt.f64 (*.f64 eps x))))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps x))))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps x))) (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (/.f64 (cbrt.f64 (*.f64 eps x)) (*.f64 1/2 eps)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (*.f64 (/.f64 eps (cbrt.f64 (*.f64 eps x))) 1/2))
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) eps) (/.f64 (*.f64 eps (sqrt.f64 1/2)) x))
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x))
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x))
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) x) (/.f64 (*.f64 eps (sqrt.f64 1/2)) eps))
(*.f64 (pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2) (/.f64 (/.f64 1 eps) x))
(*.f64 (*.f64 eps (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) x))
(*.f64 eps (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 (/.f64 (*.f64 eps (sqrt.f64 1/2)) 1) (/.f64 (*.f64 eps (sqrt.f64 1/2)) (*.f64 eps x)))
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(cbrt.f64 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 eps eps) 3)) (pow.f64 (*.f64 eps x) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 eps x))))
(*.f64 1/2 (/.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1)
(*.f64 1/2 (*.f64 eps eps))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))) (*.f64 1/2 (*.f64 eps eps))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 eps eps))))))
(pow.f64 (*.f64 eps (*.f64 eps 1/2)) 1)
(*.f64 1/2 (*.f64 eps eps))
(pow.f64 (*.f64 eps (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps 1/2))) 3)
(*.f64 1/2 (*.f64 eps eps))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3) 1/3)
(*.f64 1/2 (*.f64 eps eps))
(neg.f64 (*.f64 eps (*.f64 eps -1/2)))
(*.f64 1/2 (*.f64 eps eps))
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 eps eps)))
(*.f64 1/2 (*.f64 eps eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps 1/2)))))
(*.f64 1/2 (*.f64 eps eps))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps 1/2)) 3))
(*.f64 1/2 (*.f64 eps eps))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps eps))
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps eps))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps eps))

eval120.0ms (1.7%)

Compiler

Compiled 5985 to 3326 computations (44.4% saved)

prune115.0ms (1.7%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New44013453
Fresh022
Picked011
Done099
Total44025465
Error
0b
Counts
465 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
52.1b
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
53.0b
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
52.9b
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
33.9b
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
0.3b
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
27.3b
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
56.5b
(/.f64 eps x)
34.0b
(/.f64 1/2 (/.f64 x eps))
60.8b
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
26.1b
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
29.4b
(-.f64 x (sqrt.f64 (neg.f64 eps)))
53.6b
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
53.4b
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
52.1b
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
52.1b
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
40.1b
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
52.9b
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
40.1b
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
0.4b
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
50.2b
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
53.1b
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
34.0b
(*.f64 (/.f64 1/2 x) eps)
41.1b
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
33.9b
(*.f64 1/2 (/.f64 eps x))
61.7b
x
Compiler

Compiled 265 to 176 computations (33.6% saved)

regimes76.0ms (1.1%)

Counts
29 → 1
Calls
Call 1
Inputs
x
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
Calls

3 calls:

43.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
14.0ms
eps
13.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 273 to 132 computations (51.6% saved)

regimes151.0ms (2.2%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 1/2 (/.f64 eps x))
Calls

3 calls:

55.0ms
eps
45.0ms
x
42.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
ErrorSegmentsBranch
6.6b4x
10.7b4eps
1.3b2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 223 to 118 computations (47.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.134742040095398e-151
-9.233731050900921e-156
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes106.0ms (1.5%)

Counts
24 → 4
Calls
Call 1
Inputs
x
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
Calls

2 calls:

55.0ms
eps
46.0ms
x
Results
ErrorSegmentsBranch
7.2b4x
10.7b4eps
Compiler

Compiled 205 to 108 computations (47.3% saved)

bsearch44.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
1.9726498472457266e-77
2.87542850660806e-77
13.0ms
1.6938396849709966e-83
5.717386473808874e-82
17.0ms
9.419419677007727e-99
3.6860436500154807e-96
Results
26.0ms238×body256valid
10.0ms63×body512valid
3.0ms30×body256invalid
1.0msbody1024valid
Compiler

Compiled 335 to 246 computations (26.6% saved)

regimes319.0ms (4.6%)

Counts
23 → 4
Calls
Call 1
Inputs
x
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
Calls

2 calls:

162.0ms
x
152.0ms
eps
Results
ErrorSegmentsBranch
7.3b4x
11.8b4eps
Compiler

Compiled 198 to 106 computations (46.5% saved)

bsearch53.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
8.0ms
1.9726498472457266e-77
2.87542850660806e-77
31.0ms
1.6938396849709966e-83
5.717386473808874e-82
14.0ms
1.1494770618276364e-115
5.339491155115352e-114
Results
37.0ms229×body256valid
8.0ms56×body512valid
3.0ms35×body256invalid
1.0msbody1024valid
Compiler

Compiled 303 to 226 computations (25.4% saved)

regimes71.0ms (1%)

Counts
22 → 1
Calls
Call 1
Inputs
x
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 (neg.f64 eps) (/.f64 -1 (/.f64 1/2 x)))
(*.f64 (+.f64 eps (*.f64 x 0)) (/.f64 1/2 x))
(*.f64 (/.f64 1/2 (*.f64 eps x)) (*.f64 eps eps))
(*.f64 (/.f64 eps (*.f64 eps (/.f64 x 1/2))) eps)
(*.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/2 eps))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (*.f64 eps eps) (*.f64 (*.f64 x 2) eps))
(/.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 eps x))
(/.f64 (*.f64 (/.f64 1/2 x) (*.f64 eps eps)) eps)
(*.f64 (*.f64 (*.f64 eps 1/2) (/.f64 1 (*.f64 eps x))) eps)
(*.f64 (/.f64 1 eps) (*.f64 eps (/.f64 eps (*.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) eps)) (*.f64 eps 1/2))
(*.f64 (/.f64 1 (/.f64 (*.f64 eps x) (*.f64 eps eps))) 1/2)
(*.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (/.f64 1 eps))
(*.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps 1/2)) x) (*.f64 eps eps)) eps)
(*.f64 (/.f64 (*.f64 (*.f64 eps eps) (/.f64 1/2 x)) 1) (/.f64 eps (*.f64 eps eps)))
Outputs
(*.f64 1/2 (/.f64 eps x))
Calls

2 calls:

55.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
33.9b1x
33.9b1eps
Compiler

Compiled 193 to 104 computations (46.1% saved)

regimes8.0ms (0.1%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
56.5b1x
56.5b1eps
Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

5.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
61.7b1x
61.7b1eps
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×+-commutative
12×sub-neg
*-commutative
neg-mul-1
if-if-or-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043277
163269
275269
383265
486265
587265
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
x
Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (if (or (<=.f64 x 640796110776273/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (not (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064))) (*.f64 1/2 (/.f64 eps x)) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (*.f64 1/2 (/.f64 eps x)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))))
(if (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (or (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (not (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))) (*.f64 1/2 (/.f64 eps x)) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(if (or (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (not (or (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (not (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(if (or (<=.f64 x 7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (and (not (<=.f64 x 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608)) (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
x
Compiler

Compiled 110 to 67 computations (39.1% saved)

soundness171.0ms (2.5%)

Algorithm
egg-herbie
Rules
1080×associate-+r-
980×associate-+r+
968×fma-def
964×+-commutative
740×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059013411
1169512657
2788712657
04799289
114518639
266728639
Stop Event
node limit
node limit
Compiler

Compiled 136 to 38 computations (72.1% saved)

end77.0ms (1.1%)

Compiler

Compiled 98 to 45 computations (54.1% saved)

Profiling

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