Hyperbolic arcsine

Time bar (total: 7.9s)

analyze74.0ms (0.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (38.3%)

Results
1.3s2551×body1024valid
643.0ms1342×body512valid
592.0ms1229×body2048valid
409.0ms3080×body256valid
30.0ms54×body4096valid
Bogosity

preprocess395.0ms (5%)

Algorithm
1×egg-herbie
Rules
1544×fma-def
1032×associate-+r-
798×associate-+r+
774×associate-+l-
662×associate--r-
Problems
118×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
63×(sqrt.f64 (+.f64 (*.f64 x x) 1))
38×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
37×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 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))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶20.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
▶31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶20.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize201.0ms (2.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓74.0%
(+.f64 x (hypot.f64 1 x))
✓58.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓76.7%
(sqrt.f64 (+.f64 (*.f64 x x) 1))
✓74.0%
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓58.0%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 51 to 28 computations (45.1% saved)

series5.0ms (0.1%)

Counts
5 → 60
Calls

15 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
@inf
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite279.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
920×unpow-prod-down
814×fma-def
671×log1p-expm1-u
671×expm1-log1p-u
596×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01594
122194
2202094
Stop Event
1×node limit
Counts
5 → 344
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 1))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 1))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (hypot.f64 1 x))

simplify175.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
992×log-prod
730×exp-prod
630×cube-prod
568×associate-*l*
556×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056915678
1140515331
2472815287
Stop Event
1×node limit
Counts
404 → 336
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
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(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (hypot.f64 1 x))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 1))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (+.f64 (*.f64 (pow.f64 x 4) -1/8) (fma.f64 (pow.f64 x 2) 1/2 1)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.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 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x)) (/.f64 5/128 (pow.f64 x 7)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 (pow.f64 x 4) -1/8) (fma.f64 (pow.f64 x 2) 1/2 1))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16)) (fma.f64 (pow.f64 x 2) 1/2 1))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 x (*.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 (+.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 1))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (+.f64 (*.f64 (pow.f64 x 4) -1/8) (fma.f64 (pow.f64 x 2) 1/2 1)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
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(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 (pow.f64 x 2))) (hypot.f64 1 x))

eval149.0ms (1.9%)

Compiler

Compiled 5302 to 4133 computations (22% saved)

prune70.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New32313336
Fresh000
Picked112
Done000
Total32414338
Accuracy
100.0%
Counts
338 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.5%
(+.f64 (log.f64 2) (log.f64 x))
28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
▶46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
▶28.2%
(log.f64 (/.f64 -1/2 x))
28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
▶27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
12.0%
(log.f64 (+.f64 x 1))
▶26.2%
(log.f64 (*.f64 x 2))
48.5%
x
▶26.5%
(+.f64 (log.f64 2) (log.f64 x))
28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
▶46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
▶28.2%
(log.f64 (/.f64 -1/2 x))
28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
▶27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
12.0%
(log.f64 (+.f64 x 1))
▶26.2%
(log.f64 (*.f64 x 2))
48.5%
x
Compiler

Compiled 470 to 360 computations (23.4% saved)

localize163.0ms (2.1%)

Compiler

Compiled 101 to 71 computations (29.7% saved)

eval3.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune21.0ms (0.3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New000
Fresh088
Picked055
Done011
Total01414
Accuracy
100.0%
Counts
14 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓26.5%
(+.f64 (log.f64 2) (log.f64 x))
28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
✓46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
▶46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
✓28.2%
(log.f64 (/.f64 -1/2 x))
▶28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
✓27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶12.0%
(log.f64 (+.f64 x 1))
✓26.2%
(log.f64 (*.f64 x 2))
48.5%
x
✓26.5%
(+.f64 (log.f64 2) (log.f64 x))
28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
✓46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
▶46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
✓28.2%
(log.f64 (/.f64 -1/2 x))
▶28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
✓27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶12.0%
(log.f64 (+.f64 x 1))
✓26.2%
(log.f64 (*.f64 x 2))
48.5%
x
Compiler

Compiled 392 to 300 computations (23.5% saved)

localize329.0ms (4.2%)

Compiler

Compiled 126 to 86 computations (31.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune13.0ms (0.2%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done066
Total01414
Accuracy
100.0%
Counts
14 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓26.5%
(+.f64 (log.f64 2) (log.f64 x))
▶28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
✓46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
✓28.2%
(log.f64 (/.f64 -1/2 x))
✓28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
✓27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓12.0%
(log.f64 (+.f64 x 1))
✓26.2%
(log.f64 (*.f64 x 2))
48.5%
x
✓26.5%
(+.f64 (log.f64 2) (log.f64 x))
▶28.5%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
✓46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓31.5%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶6.0%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
✓28.2%
(log.f64 (/.f64 -1/2 x))
✓28.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
✓27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓12.0%
(log.f64 (+.f64 x 1))
✓26.2%
(log.f64 (*.f64 x 2))
48.5%
x
Compiler

Compiled 244 to 186 computations (23.8% saved)

localize377.0ms (4.8%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓99.9%
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
✓99.9%
(/.f64 1/4 (pow.f64 x 2))
✓100.0%
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
✓79.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
✓73.9%
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
Compiler

Compiled 102 to 73 computations (28.4% saved)

series24.0ms (0.3%)

Counts
5 → 48
Calls

15 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
6.0ms
x
@0
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
5.0ms
x
@-inf
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
1.0ms
x
@inf
(/.f64 1/4 (pow.f64 x 2))
1.0ms
x
@-inf
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))

rewrite212.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1058×log1p-expm1-u
602×expm1-udef
600×log1p-udef
206×associate-*r*
171×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025203
1358123
25480123
Stop Event
1×node limit
Counts
5 → 172
Calls
Call 1
Inputs
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 1/4 (pow.f64 x 2))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
Outputs
(+.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(+.f64 (fma.f64 x x 1) (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 x 2))))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 x) x (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 x 2)) 1 (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 x x 1))
(*.f64 1 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))
(pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(fma.f64 1 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (pow.f64 x 2)))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 x (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) x)
(+.f64 (/.f64 (fma.f64 x x 1) (-.f64 (hypot.f64 1 x) x)) (neg.f64 (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) x))))
(-.f64 (/.f64 (fma.f64 x x 1) (-.f64 (hypot.f64 1 x) x)) (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3) (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x -2) 1/4)
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 1/64 (pow.f64 x 6)) 1/3)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (/.f64 1/64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(-.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 -1/2) 2) (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))) (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))
(*.f64 1 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))
(*.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2) (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (/.f64 1 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))) (neg.f64 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 1/64 (pow.f64 x 6))) (+.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (/.f64 1/16 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))
(log.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(fma.f64 1 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(fma.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -1/2)) 2) (cbrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))

simplify168.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
798×fma-neg
638×log-prod
626×div-sub
510×sub-neg
486×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04918973
112308027
246627295
Stop Event
1×node limit
Counts
220 → 295
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(/.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))) (neg.f64 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 1/64 (pow.f64 x 6))) (+.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (/.f64 1/16 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))
(log.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(fma.f64 1 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(fma.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -1/2)) 2) (cbrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(fma.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x)))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 x -2) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.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 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))) (/.f64 5/96 (pow.f64 x 6)))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 1 x) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 1 x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (+.f64 x (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (+.f64 1 x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)))
(+.f64 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x)) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(/.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x -2))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(+.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
1
(+.f64 (fma.f64 x x 1) (*.f64 (neg.f64 (pow.f64 x 2)) 1))
1
(+.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)))
1
(+.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 x 2))))
1
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 x) x (pow.f64 x 2)))
1
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 x 2)) 1 (pow.f64 x 2)))
1
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (+.f64 1 (*.f64 0 (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 x x 1))
1
(*.f64 1 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
1
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
1
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(-.f64 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (pow.f64 x 2))
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1
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 -1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)) (pow.f64 (log1p.f64 -1/2) 2)))
(/.f64 1 (/.f64 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))) (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (-.f64 (log1p.f64 -1/2) (-.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 -1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)) (pow.f64 (log1p.f64 -1/2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (*.f64 (log1p.f64 -1/2) (-.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (-.f64 (log1p.f64 -1/2) (-.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 -1/2) 2) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 -1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 3) (pow.f64 (log1p.f64 -1/2) 3)) (fma.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)) (pow.f64 (log1p.f64 -1/2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))) (neg.f64 (+.f64 (-.f64 (log1p.f64 -1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (-.f64 (log1p.f64 -1/2) (-.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 1/64 (pow.f64 x 6))) (+.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 1/64 (pow.f64 x 6))) (fma.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (/.f64 1/2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x)) (fma.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x)) (fma.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (-.f64 (log1p.f64 -1/2) (-.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 -1/2) 2) (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 (log1p.f64 -1/2) 2)) (-.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) (log1p.f64 -1/2)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x))) (/.f64 1/16 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (fma.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x)) (neg.f64 (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (/.f64 1/2 x))))
(/.f64 (fma.f64 (log.f64 (/.f64 1/2 x)) (log.f64 (/.f64 1/2 x)) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x))))
(pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 1)
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 3)
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3) 1/3)
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 2)
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 2))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))) 3))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(exp.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))) 1))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))))
(+.f64 (log.f64 (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 1/2 x)))
(fma.f64 1 (log1p.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(fma.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) (log1p.f64 -1/2))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))) 2)) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x)))) (log1p.f64 -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 -1/2)) 2) (cbrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2)))) (log1p.f64 -1/2))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))
(fma.f64 (sqrt.f64 (log1p.f64 -1/2)) (sqrt.f64 (log1p.f64 -1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 -1/4 (pow.f64 x -2))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log1p.f64 -1/2)))
(+.f64 (log1p.f64 -1/2) (fma.f64 -1/4 (pow.f64 x -2) (log.f64 (/.f64 -1 x))))

eval141.0ms (1.8%)

Compiler

Compiled 5690 to 4464 computations (21.5% saved)

prune53.0ms (0.7%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New2941295
Fresh011
Picked202
Done2911
Total29811309
Accuracy
100.0%
Counts
309 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓26.5%
(+.f64 (log.f64 2) (log.f64 x))
✓46.6%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓46.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.3%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓28.2%
(log.f64 (/.f64 -1/2 x))
✓31.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓2.0%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
✓27.1%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓12.0%
(log.f64 (+.f64 x 1))
✓26.2%
(log.f64 (*.f64 x 2))
48.5%
x
Compiler

Compiled 204 to 150 computations (26.5% saved)

regimes95.0ms (1.2%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 2) (log.f64 x))
Calls

3 calls:

52.0ms
x
26.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
13.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.8%3x
88.6%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.6%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 146 to 105 computations (28.1% saved)

regimes29.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 2) (log.f64 x))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 77 to 54 computations (29.9% saved)

regimes23.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 2) (log.f64 x))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes20.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes16.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (*.f64 x 2))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes15.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
72.7%2x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
48.5%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch46.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0031112267538394634
7895.642846698459
24.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
37.0ms288×body256valid
Compiler

Compiled 428 to 343 computations (19.9% saved)

bsearch45.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0031112267538394634
7895.642846698459
22.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
41.0ms288×body256valid
Compiler

Compiled 320 to 253 computations (20.9% saved)

bsearch45.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0031112267538394634
7895.642846698459
23.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
41.0ms288×body256valid
Compiler

Compiled 293 to 235 computations (19.8% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0031112267538394634
7895.642846698459
23.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
38.0ms288×body256valid
Compiler

Compiled 320 to 244 computations (23.8% saved)

bsearch47.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.0031112267538394634
7895.642846698459
23.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
43.0ms288×body256valid
Compiler

Compiled 284 to 226 computations (20.4% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.0031112267538394634
7895.642846698459
23.0ms
-2.492277723937864
-3.0080173478764815e-9
Results
38.0ms288×body256valid
Compiler

Compiled 176 to 136 computations (22.7% saved)

bsearch23.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.0031112267538394634
7895.642846698459
Results
21.0ms144×body256valid
Compiler

Compiled 95 to 73 computations (23.2% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
10×*-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066552
182552
287552
390552
491552
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4726978168888073/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5944751508129055/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1152921504606847/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -4726978168888073/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5944751508129055/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -1152921504606847/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 169 to 125 computations (26% saved)

soundness1.3s (17%)

Rules
1058×log1p-expm1-u
992×log-prod
992×log-prod
992×log-prod
992×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01594
122194
2202094
056915678
1140515331
2472815287
025203
1358123
25480123
04918973
112308027
246627295
056915678
1140515331
2472815287
056915678
1140515331
2472815287
056915678
1140515331
2472815287
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 666 to 467 computations (29.9% saved)

end0.0ms (0%)

preprocess150.0ms (1.9%)

Compiler

Compiled 394 to 280 computations (28.9% saved)

Profiling

Loading profile data...