Details

Time bar (total: 5.7s)

analyze148.0ms (2.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.3s (40.5%)

Results
1.2s8256×body256valid
979.0ms7362×body256infinite
117.0ms1064×body256invalid
Bogosity

preprocess127.0ms (2.2%)

Algorithm
egg-herbie
Rules
1316×fma-neg
1074×+-commutative
1010×*-commutative
776×distribute-neg-in
746×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48423
517723
634823
779423
8331123
9490423
10628523
11723123
12758123
13777923
14788723
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify131.0ms (2.3%)

Algorithm
egg-herbie
Rules
1316×fma-neg
1074×+-commutative
1010×*-commutative
776×distribute-neg-in
746×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48423
517723
634823
779423
8331123
9490423
10628523
11723123
12758123
13777923
14788723
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
34.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
34.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0b
(-.f64 (*.f64 x x) 1)
32.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite94.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
884×*-commutative
846×associate-*r/
664×associate-*l/
634×distribute-lft-in
612×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01064
121364
2286364
Stop Event
node limit
Counts
4 → 250
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(-.f64 (*.f64 x x) 1)
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x 1)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (*.f64 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simplify156.0ms (2.7%)

Algorithm
egg-herbie
Rules
784×associate-*r*
662×associate-*l*
660×fma-def
576×associate-/l*
542×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067611578
1176710740
2772110740
Stop Event
node limit
Counts
298 → 436
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
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(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 -1/2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (/.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (*.f64 x x) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x (fma.f64 x x -1))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (fma.f64 x x (fma.f64 x x -1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (fma.f64 x x -1) (fma.f64 x x (fma.f64 x x -1)) (pow.f64 x 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 1 (*.f64 x 0)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 1 (*.f64 x 0)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 1 (*.f64 x 0)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (+.f64 1 (*.f64 x 0)) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 1 (*.f64 x 0)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

eval191.0ms (3.3%)

Compiler

Compiled 8931 to 6383 computations (28.5% saved)

prune83.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4324436
Fresh000
Picked011
Done000
Total4325437
Error
0b
Counts
437 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
62.9b
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
0.4b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
43.6b
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
34.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.7b
(log.f64 (+.f64 x x))
Compiler

Compiled 46 to 33 computations (28.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3))
0.0b
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
0.1b
(pow.f64 (fma.f64 x x -1) 3/2)
42.2b
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
Compiler

Compiled 44 to 31 computations (29.5% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
1.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
1.0ms
x
@inf
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
0.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
0.0ms
x
@-inf
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))

rewrite95.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
976×*-commutative
852×unswap-sqr
564×swap-sqr
462×distribute-lft-in
460×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
127870
2325870
Stop Event
node limit
Counts
4 → 199
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (fma.f64 x x -1) 3/2)
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((x log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))))

simplify128.0ms (2.2%)

Algorithm
egg-herbie
Rules
1142×+-commutative
872×associate-+r+
834×associate-+l+
644×associate-*r*
562×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060510683
116459307
260799303
Stop Event
node limit
Counts
247 → 396
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 2))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/16 (*.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3/2 x)) (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 5/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1/2 (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/6 (/.f64 (-.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3 x)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3/2)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 -3 x) (*.f64 -2 (pow.f64 x 3))) (pow.f64 x 3))))) 3/2)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/12) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/6) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (/.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (/.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (/.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (/.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (cbrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 x x -1) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (fma.f64 x x -1) (+.f64 (fma.f64 x x -1) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) 1) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) 1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (fma.f64 x x -1) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (fma.f64 x x -1) (+.f64 (fma.f64 x x -1) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 4))) (*.f64 -1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1) (pow.f64 x 4)) (/.f64 -1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 3/4 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 4))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/3 (/.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 -1) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 -1) 3/8) (/.f64 3/4 (sqrt.f64 -1))) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 6)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1) (pow.f64 x 4)) (fma.f64 -1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.f64 (*.f64 (+.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 (fma.f64 (sqrt.f64 -1) 3/8 (/.f64 -3/4 (sqrt.f64 -1))) -1)) 1/3) (/.f64 -1 (pow.f64 x 6))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (*.f64 (*.f64 -3/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (*.f64 (*.f64 -3/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (fma.f64 -3/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)) (*.f64 (*.f64 (sqrt.f64 -1) 3/8) (pow.f64 x 4)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 1/16 (*.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 -3/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 -1) 1/16) (pow.f64 x 6)))))
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(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1058×associate-*r/
908×*-commutative
668×unswap-sqr
668×associate-*l/
542×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121619
2273119
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))))))

simplify61.0ms (1.1%)

Algorithm
egg-herbie
Rules
1428×associate-+l-
1104×associate-*r*
970×*-commutative
926×associate-*l*
842×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591910
13721650
211411642
349411642
Stop Event
node limit
Counts
48 → 94
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 x (*.f64 x -4)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 -4 (*.f64 x x) (*.f64 -8 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (fma.f64 x (*.f64 x -4) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -4) (log.f64 -1/2)) (log.f64 x)) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 2) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 -1/32 (pow.f64 x 4))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/192 (pow.f64 x 6)))
(+.f64 (-.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))) (/.f64 -1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/192 (pow.f64 x 6)))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (*.f64 x x) 4 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 (*.f64 x 1) (/.f64 1/4 x)) x))))
(-.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (*.f64 x x) 4 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 (*.f64 x 1) (/.f64 1/4 x)) x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) 4 (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
1.7b
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
32.0b
(sqrt.f64 (fma.f64 x x -1))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
0.0ms
x
@inf
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
0.0ms
x
@-inf
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
0.0ms
x
@0
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
0.0ms
x
@inf
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))

rewrite99.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
836×*-commutative
676×unswap-sqr
480×swap-sqr
468×distribute-lft-in
452×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
120155
2247555
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x x -1))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
Outputs
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pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))))))

simplify106.0ms (1.9%)

Algorithm
egg-herbie
Rules
808×fma-def
798×associate-*r*
670×associate-*l*
504×+-commutative
420×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05951571
116081571
Stop Event
node limit
Counts
237 → 242
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (*.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 3/2) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (/.f64 (pow.f64 (fma.f64 x x -1) 3/2) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (/.f64 (pow.f64 (fma.f64 x x -1) 3/2) (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(neg.f64 (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(+.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(-.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (-.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (*.f64 (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(/.f64 (-.f64 0 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(sqrt.f64 -1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(sqrt.f64 -1)
x
(sqrt.f64 -1)
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(sqrt.f64 -1)
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(sqrt.f64 -1)
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(sqrt.f64 -1)
(*.f64 -1 x)
(sqrt.f64 -1)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(sqrt.f64 -1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(sqrt.f64 -1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(*.f64 -1 (sqrt.f64 -1))
(sqrt.f64 -1)
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(sqrt.f64 -1)
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(sqrt.f64 -1)
(/.f64 1/2 x)
(sqrt.f64 -1)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(sqrt.f64 -1)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(*.f64 2 x)
(sqrt.f64 -1)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(sqrt.f64 -1)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 -1)
(neg.f64 (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 -1)
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 -1)
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 -1)
(+.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(sqrt.f64 -1)
(+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 -1)
(+.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(sqrt.f64 -1)
(+.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(+.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(+.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) -1)
(sqrt.f64 -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(sqrt.f64 -1)
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(sqrt.f64 -1)
(-.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(sqrt.f64 -1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(sqrt.f64 -1)
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 -1)
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 -1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(sqrt.f64 -1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))))
(sqrt.f64 -1)
(*.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 -1)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 -1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3/2))
(sqrt.f64 -1)
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/6))
(sqrt.f64 -1)
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (-.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 -1)
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (*.f64 (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (+.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 -1)
(/.f64 (-.f64 0 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(sqrt.f64 -1)
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 -1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 -1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(sqrt.f64 -1)
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(sqrt.f64 -1)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(sqrt.f64 -1)
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 -1)
(log1p.f64 (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(sqrt.f64 -1)

eval372.0ms (6.5%)

Compiler

Compiled 16771 to 12031 computations (28.3% saved)

prune145.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7293732
Fresh000
Picked011
Done134
Total7307737
Error
0b
Counts
737 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
42.0b
(+.f64 1/2 (log.f64 x))
62.9b
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
0.4b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
43.9b
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
34.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.7b
(log.f64 (+.f64 x x))
43.8b
(log.f64 x)
Compiler

Compiled 61 to 45 computations (26.2% saved)

localize3.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize44.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
0.0b
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
0.3b
(*.f64 3/8 (/.f64 1 x))
42.2b
(pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
Compiler

Compiled 91 to 70 computations (23.1% saved)

series9.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
2.0ms
x
@-inf
(pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
2.0ms
x
@-inf
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
1.0ms
x
@0
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
0.0ms
x
@inf
(pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)

rewrite128.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1468×distribute-lft-in
772×associate-/r*
394×associate-/l*
394×add-sqr-sqrt
386×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
1406106
25139106
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
(*.f64 3/8 (/.f64 1 x))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
Outputs
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simplify148.0ms (2.6%)

Algorithm
egg-herbie
Rules
1308×associate-+l+
1238×+-commutative
1172×associate-+r+
642×fma-def
580×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058311131
1160610519
2657610519
Stop Event
node limit
Counts
209 → 306
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5)))) (*.f64 -1 (*.f64 (cbrt.f64 -1) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(+.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2)))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/24 (/.f64 (-.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1)))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 4))))))
(+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 3)))) (*.f64 -240 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1))))) (*.f64 45 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/24 (/.f64 (-.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1)))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 1/6) (pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x -2) 9/64) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 2))) (cbrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 x))) 1)
(/.f64 3/8 x)
(/.f64 1 (/.f64 x 3/8))
(/.f64 (/.f64 3/8 x) 1)
(/.f64 -3/8 (neg.f64 x))
(/.f64 (/.f64 3/8 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 3/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 3/8 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -3/8 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -3/8 (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -3/8 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -3/8 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -3/8 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 -3/8 (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 3/8 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 3/8 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) 9/64) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 2)) 1) (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) 9/64) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 2)) (sqrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) 9/64) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 2)) (*.f64 (cbrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) (cbrt.f64 (-.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x -2) 9/64) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 2)) (+.f64 (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (sqrt.f64 (/.f64 3/8 x)))) (-.f64 (sqrt.f64 (/.f64 3/8 x)) (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 3)) 1) (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) (pow.f64 (fma.f64 x -3/2 (pow.f64 x 3)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 9/64) (*.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 3/8 (-.f64 (*.f64 x -3/2) (pow.f64 x 3))) (*.f64 x (-.f64 (*.f64 9/4 (*.f64 x x)) (pow.f64 x 6)))) x) (-.f64 (*.f64 x -3/2) (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (*.f64 3/8 (+.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x -3/2) (pow.f64 x 3))))) (*.f64 x (+.f64 (*.f64 (pow.f64 x 3) -27/8) (pow.f64 x 9)))) x) (+.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x -3/2) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/4 (*.f64 x x)) (pow.f64 x 6)) x) (*.f64 (-.f64 (*.f64 x -3/2) (pow.f64 x 3)) 3/8)) (-.f64 (*.f64 x -3/2) (pow.f64 x 3))) x)
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -27/8) (pow.f64 x 9)) x) (*.f64 (+.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x -3/2) (pow.f64 x 3)))) 3/8)) (+.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 x -3/2) (pow.f64 x 3))))) x)
(pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 1 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(fma.f64 1 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))
(fma.f64 (/.f64 1 x) 3/8 (fma.f64 x -3/2 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (/.f64 3/8 x))
(fma.f64 (sqrt.f64 (/.f64 3/8 x)) (sqrt.f64 (/.f64 3/8 x)) (fma.f64 x -3/2 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (/.f64 3/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 x)) 2) (cbrt.f64 (/.f64 3/8 x)) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 0)
(+.f64 0 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2)) (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))) (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (pow.f64 x 3)))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2)))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (pow.f64 x 3))))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))) 1)
(*.f64 1 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(*.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2) (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 1))
(log1p.f64 (+.f64 x (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1)))
Outputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/12 (pow.f64 x 5))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/12 (pow.f64 x 5))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))))
(-.f64 (neg.f64 (*.f64 x (cbrt.f64 -1))) (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (neg.f64 (cbrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (neg.f64 (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (fma.f64 (neg.f64 (cbrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5)))) (*.f64 -1 (*.f64 (cbrt.f64 -1) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/3 (/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 6)) -3/8) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 5)) (neg.f64 (*.f64 x (cbrt.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (-.f64 (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(/.f64 3/8 x)
(+.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(fma.f64 -3/2 x (/.f64 3/8 x))
(fma.f64 x -3/2 (/.f64 3/8 x))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(fma.f64 x -3/2 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(fma.f64 x -3/2 (pow.f64 x 3))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
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(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 3/8 (/.f64 1 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 1 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 1 (fma.f64 x -3/2 (pow.f64 x 3)) (/.f64 3/8 x))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 (/.f64 1 x) 3/8 (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (/.f64 3/8 x))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 (sqrt.f64 (/.f64 3/8 x)) (sqrt.f64 (/.f64 3/8 x)) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 x -3/2 (pow.f64 x 3))) (/.f64 3/8 x))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 x)) 2) (cbrt.f64 (/.f64 3/8 x)) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (fma.f64 -3/2 x (/.f64 3/8 x)) (pow.f64 x 3))
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(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(+.f64 0 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
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(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))))
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(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
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(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))))
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(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))))))
(-.f64 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (pow.f64 x 3)))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (pow.f64 x 3))))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (log.f64 (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (/.f64 3/8 x)))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))) (-.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) 1)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2)))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (pow.f64 x 3))))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 3/8 x) (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (pow.f64 x 3))))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
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(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))) 1)
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(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
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(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 3)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3) 1/3)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))
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(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
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(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 1))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(log1p.f64 (+.f64 x (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1)))
(log1p.f64 (+.f64 x (+.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))))))

localize5.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval201.0ms (3.5%)

Compiler

Compiled 9899 to 7537 computations (23.9% saved)

prune51.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3051306
Fresh000
Picked011
Done156
Total3067313
Error
0b
Counts
313 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
42.0b
(+.f64 1/2 (log.f64 x))
62.9b
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
0.4b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
43.9b
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
34.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.7b
(log.f64 (+.f64 x x))
43.8b
(log.f64 x)
Compiler

Compiled 59 to 43 computations (27.1% saved)

localize39.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
0.0b
(+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
42.2b
(pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
Compiler

Compiled 77 to 57 computations (26% saved)

series1.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
0.0ms
x
@0
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
0.0ms
x
@-inf
(pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
0.0ms
x
@0
(pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
0.0ms
x
@inf
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))

rewrite114.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1546×distribute-lft-in
810×associate-/r*
424×associate-/l*
396×associate-/r/
394×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01699
137199
2491099
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)
(+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
Outputs
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simplify156.0ms (2.7%)

Algorithm
egg-herbie
Rules
1450×associate-+l+
1312×associate-+r+
686×associate-*r*
594×fma-def
538×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057913321
1166112413
2683412413
Stop Event
node limit
Counts
185 → 297
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5)))) (*.f64 -1 (*.f64 (cbrt.f64 -1) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(/.f64 3/8 x)
(+.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
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(+.f64 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))) (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))))
(-.f64 (log.f64 (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (+.f64 (/.f64 3/8 x) (pow.f64 x 3)))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (fma.f64 x -3/2 (pow.f64 x 3)) (+.f64 (/.f64 3/8 x) (pow.f64 x 3))))) (log.f64 (fma.f64 x x (*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) x)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 2)))) (log.f64 (-.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))) 1)
(*.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2) (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 1))
(log1p.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 x 1)))
Outputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/12 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/12 (pow.f64 x 5)))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))))
(-.f64 (neg.f64 (*.f64 x (cbrt.f64 -1))) (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (neg.f64 (cbrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (neg.f64 (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (fma.f64 (neg.f64 (cbrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5)))) (*.f64 -1 (*.f64 (cbrt.f64 -1) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/3 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 6)) -3/8) (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (neg.f64 (*.f64 x (cbrt.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (-.f64 (/.f64 -1/2 (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(/.f64 3/8 x)
(+.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(fma.f64 -3/2 x (/.f64 3/8 x))
(fma.f64 x -3/2 (/.f64 3/8 x))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(+.f64 (*.f64 -3/2 x) (+.f64 (*.f64 3/8 (/.f64 1 x)) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(fma.f64 x -3/2 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(fma.f64 x -3/2 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/16 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/16 (pow.f64 x 6))))
(+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (+.f64 (cbrt.f64 -1) -1)) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (+.f64 -1 (cbrt.f64 -1))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2)))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (+.f64 (cbrt.f64 -1) -1)) (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (+.f64 (cbrt.f64 -1) -1) (*.f64 x x))))))
(+.f64 (-.f64 (log.f64 (+.f64 -1 (cbrt.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1)) (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/24 (/.f64 (-.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1)))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 4))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (+.f64 (cbrt.f64 -1) -1) (*.f64 x x)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (+.f64 (cbrt.f64 -1) -1)) (*.f64 1/24 (/.f64 (-.f64 (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (cbrt.f64 -1) -1))) (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (+.f64 (cbrt.f64 -1) -1) 2)))) (pow.f64 x 4))))))
(+.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 3 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1))) (/.f64 -3 (*.f64 (neg.f64 (cbrt.f64 -1)) (pow.f64 (+.f64 -1 (cbrt.f64 -1)) 2)))) (pow.f64 x 4)) (log.f64 (+.f64 -1 (cbrt.f64 -1)))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1)) (*.f64 x x))) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/720 (/.f64 (-.f64 (+.f64 (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 3)))) (*.f64 -240 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 3/8) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1))))) (*.f64 45 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (-.f64 (cbrt.f64 -1) 1) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (-.f64 (cbrt.f64 -1) 1)) (*.f64 1/24 (/.f64 (-.f64 (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (cbrt.f64 -1) 1)))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (-.f64 (cbrt.f64 -1) 1) 2))))) (pow.f64 x 4)))))))
(fma.f64 1/720 (/.f64 (-.f64 (+.f64 (/.f64 30 (*.f64 (pow.f64 (cbrt.f64 -1) 6) (pow.f64 (+.f64 (cbrt.f64 -1) -1) 3))) (/.f64 (*.f64 -240 (+.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 6)) -3/8)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (cbrt.f64 -1) -1)))) (/.f64 45 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (+.f64 (cbrt.f64 -1) -1) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (+.f64 (cbrt.f64 -1) -1) (*.f64 x x)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (+.f64 (cbrt.f64 -1) -1)) (*.f64 1/24 (/.f64 (-.f64 (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (cbrt.f64 -1) -1))) (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 -1) 4) (pow.f64 (+.f64 (cbrt.f64 -1) -1) 2)))) (pow.f64 x 4)))))))
(+.f64 (-.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 3 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1))) (/.f64 -3 (*.f64 (neg.f64 (cbrt.f64 -1)) (pow.f64 (+.f64 -1 (cbrt.f64 -1)) 2)))) (pow.f64 x 4)) (log.f64 (+.f64 -1 (cbrt.f64 -1)))) (log.f64 (/.f64 -1 x))) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 30 (pow.f64 (+.f64 -1 (cbrt.f64 -1)) 3)) (+.f64 (/.f64 60 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1))) (/.f64 -45 (*.f64 (neg.f64 (cbrt.f64 -1)) (pow.f64 (+.f64 -1 (cbrt.f64 -1)) 2))))) (pow.f64 x 6)) (/.f64 1/2 (*.f64 (+.f64 -1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) -1)) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))
(cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) 1)
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(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(*.f64 1 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2) (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))))
(pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 1)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 2)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 3)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3) 1/3)
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 2))
(fabs.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))))) 3))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))) 1))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3))))))
(log.f64 (+.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x))))))
(log1p.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (-.f64 x 1)))
(log1p.f64 (+.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) (fma.f64 x -3/2 (pow.f64 x 3)))) (+.f64 x -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (cbrt.f64 (+.f64 (pow.f64 x 3) (fma.f64 x -3/2 (/.f64 3/8 x)))))))

eval222.0ms (3.9%)

Compiler

Compiled 10707 to 7881 computations (26.4% saved)

prune51.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2970297
Fresh000
Picked011
Done066
Total2977304
Error
0b
Counts
304 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
42.0b
(+.f64 1/2 (log.f64 x))
62.9b
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
0.4b
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
43.9b
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
34.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.7b
(log.f64 (+.f64 x x))
43.8b
(log.f64 x)
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes19.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(log.f64 x)
(log.f64 (+.f64 x x))
(+.f64 1/2 (log.f64 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (pow.f64 (+.f64 (/.f64 3/8 x) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 -3/2 x) (pow.f64 x 3))) 1/3)))
(log.f64 (+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
Calls

3 calls:

6.0ms
x
5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 103 to 72 computations (30.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -43.1b remaining (-6202.5%)

Threshold costs -43.1b (-6202.5%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
*-commutative
neg-mul-1
distribute-neg-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
11639
22439
32639
42739
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))
(log.f64 (+.f64 x x))
(log.f64 x)
Compiler

Compiled 17 to 12 computations (29.4% saved)

soundness98.0ms (1.7%)

Algorithm
egg-herbie
Rules
784×associate-*r*
662×associate-*l*
660×fma-def
576×associate-/l*
542×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067611578
1176710740
2772110740
Stop Event
node limit
Compiler

Compiled 39 to 31 computations (20.5% saved)

end19.0ms (0.3%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

Profiling

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