Hyperbolic arcsine

Time bar (total: 7.0s)

analyze90.0ms (1.3%)

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)

sample2.6s (36.8%)

Results
1.2s2625×body1024valid
555.0ms1225×body2048valid
432.0ms3109×body256valid
341.0ms1272×body512valid
14.0ms25×body4096valid
Bogosity

preprocess583.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
772×fma-def
516×associate-+r-
404×associate-+r+
389×associate-+l-
331×associate--r-
Problems
127×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
63×(sqrt.f64 (+.f64 (*.f64 x x) 1))
35×No Errors
31×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
745996
854496
986496
10184496
11364596
12430396
13446296
14450696
15452196
16452196
17455296
18455296
19715696
20735796
21791596
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)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize103.0ms (1.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓77.4%
(+.f64 x (hypot.f64 1 x))
✓54.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
1.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite417.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
462×prod-diff
455×log1p-expm1-u
455×expm1-log1p-u
424×add-exp-log
380×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19942
2124142
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(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 (reciprocal.f64 (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 (reciprocal.f64 (-.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 (+.f64 1 (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 (E.f64)))
(*.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 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.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 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 (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) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 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))) 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)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(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 (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 (+.f64 1 (+.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 (E.f64)))
(*.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 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)) (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (reciprocal.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.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 (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) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.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 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(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 (E.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)) (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 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (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 (/.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 (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)) (pow.f64 (cbrt.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)) (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))))) (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))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(reciprocal.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))))
(reciprocal.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(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 (E.f64)) (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 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify101.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
978×fma-def
330×distribute-lft-in
315×distribute-rgt-in
283×sqr-pow
244×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03556736
18806344
226315571
Stop Event
1×node limit
Counts
145 → 229
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))))
(+.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 (reciprocal.f64 (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 (reciprocal.f64 (-.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 (+.f64 1 (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 (E.f64)))
(*.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 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.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 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 (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) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 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))) 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)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(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 (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 (+.f64 1 (+.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 (E.f64)))
(*.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 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)) (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (reciprocal.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.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 (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) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.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 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(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 (E.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)) (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 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (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 (/.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 (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)) (pow.f64 (cbrt.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)) (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))))) (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))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(reciprocal.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))))
(reciprocal.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(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 (E.f64)) (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 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 x) (sqrt.f64 x) (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))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.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 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.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 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (log.f64 x) (/.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 (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 2) (+.f64 (log.f64 x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 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) (+.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 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.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 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -5/96 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 2)))))
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 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.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 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8)) 1))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.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))))
(fma.f64 -1/8 (reciprocal.f64 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 1/2 x)))
(-.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 -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))
(fma.f64 1/8 (reciprocal.f64 (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 1/8 (pow.f64 x 3)) (fma.f64 1/16 (reciprocal.f64 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.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 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (fma.f64 1/16 (reciprocal.f64 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(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)))))
(log.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))))))
(log.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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 x 2) (fma.f64 x x 1))) (log.f64 (reciprocal.f64 (-.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 -1) (log.f64 (-.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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (reciprocal.f64 (-.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 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.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 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (-.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2)) (*.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) 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 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (reciprocal.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 -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 3) (pow.f64 (hypot.f64 1 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 (-.f64 (neg.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)))
(neg.f64 (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 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(log.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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)))
(*.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) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (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 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
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(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))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(reciprocal.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 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (reciprocal.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(reciprocal.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval180.0ms (2.6%)

Compiler

Compiled 3651 to 2811 computations (23% saved)

prune42.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2227229
Fresh000
Picked011
Done000
Total2228230
Accuracy
100.0%
Counts
230 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
▶50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶24.6%
(log.f64 (/.f64 -1/2 x))
▶27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶26.5%
(log.f64 (*.f64 x 2))
51.9%
x
▶50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
▶50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
29.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶24.6%
(log.f64 (/.f64 -1/2 x))
▶27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶26.5%
(log.f64 (*.f64 x 2))
51.9%
x
Compiler

Compiled 222 to 172 computations (22.5% saved)

localize193.0ms (2.8%)

Compiler

Compiled 117 to 88 computations (24.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune14.0ms (0.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶29.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓24.6%
(log.f64 (/.f64 -1/2 x))
✓27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓26.5%
(log.f64 (*.f64 x 2))
51.9%
x
✓50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶29.8%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓24.6%
(log.f64 (/.f64 -1/2 x))
✓27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓31.6%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓26.5%
(log.f64 (*.f64 x 2))
51.9%
x
Compiler

Compiled 120 to 92 computations (23.3% saved)

localize286.0ms (4.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓75.6%
(-.f64 (hypot.f64 1 x) x)
✓54.7%
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 25 to 17 computations (32% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms
x
@-inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms
x
@inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms
x
@inf
(-.f64 (hypot.f64 1 x) x)
1.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) x)

rewrite87.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
464×log1p-expm1-u
464×expm1-log1p-u
430×add-exp-log
383×pow1
366×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
110042
2125142
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
Outputs
(+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (reciprocal.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (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 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (log.f64 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (hypot.f64 1 x) (neg.f64 x))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (neg.f64 x) 2))) (log.f64 (-.f64 (hypot.f64 1 x) (neg.f64 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1/3 (*.f64 3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) 3) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 0 (-.f64 (hypot.f64 1 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (-.f64 (hypot.f64 1 x) x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.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 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (neg.f64 x) 2)) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (E.f64))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(reciprocal.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(reciprocal.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))

simplify179.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
474×distribute-lft-in
449×distribute-rgt-in
317×fma-neg
311×associate-+r+
295×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04238463
110557385
232347252
Stop Event
1×node limit
Counts
189 → 265
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))))
(+.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)))))
(+.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))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.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 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 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 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (reciprocal.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (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 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (log.f64 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (hypot.f64 1 x) (neg.f64 x))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (neg.f64 x) 2))) (log.f64 (-.f64 (hypot.f64 1 x) (neg.f64 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1/3 (*.f64 3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) 3) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 0 (-.f64 (hypot.f64 1 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (-.f64 (hypot.f64 1 x) x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 1 x) x) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.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 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (neg.f64 x) 2)) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (E.f64))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(reciprocal.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(reciprocal.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (fabs.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(reciprocal.f64 (/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x)) 1))
(reciprocal.f64 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (neg.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 (*.f64 (neg.f64 x) 1))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (-.f64 (hypot.f64 1 x) x) 1 (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x)) 1))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x)) 1))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x (+.f64 (+.f64 x (hypot.f64 1 x)) x)) 1))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(fma.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (reciprocal.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 -1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(-.f64 (hypot.f64 1 x) x)

eval112.0ms (1.6%)

Compiler

Compiled 4459 to 3350 computations (24.9% saved)

prune44.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2632265
Fresh011
Picked101
Done156
Total2658273
Accuracy
100.0%
Counts
273 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶25.5%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶24.6%
(neg.f64 (log.f64 (*.f64 x -2)))
✓24.6%
(log.f64 (/.f64 -1/2 x))
✓27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓26.5%
(log.f64 (*.f64 x 2))
51.9%
x
✓50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶25.5%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶24.6%
(neg.f64 (log.f64 (*.f64 x -2)))
✓24.6%
(log.f64 (/.f64 -1/2 x))
✓27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓26.5%
(log.f64 (*.f64 x 2))
51.9%
x
Compiler

Compiled 122 to 96 computations (21.3% saved)

localize77.0ms (1.1%)

Compiler

Compiled 49 to 36 computations (26.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked022
Done055
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.2%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
✓50.0%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓25.5%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓24.6%
(neg.f64 (log.f64 (*.f64 x -2)))
✓24.6%
(log.f64 (/.f64 -1/2 x))
✓27.4%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓26.5%
(log.f64 (*.f64 x 2))
51.9%
x
Compiler

Compiled 137 to 104 computations (24.1% saved)

regimes40.0ms (0.6%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 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))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Calls

3 calls:

22.0ms
x
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
88.3%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.3%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes21.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 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))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes17.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes13.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
76.4%2x
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
51.9%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.0004868018746435454
6532.763728136031
20.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
35.0ms288×body256valid
Compiler

Compiled 491 to 397 computations (19.1% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.0004868018746435454
6532.763728136031
21.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
36.0ms288×body256valid
Compiler

Compiled 383 to 307 computations (19.8% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.0004868018746435454
6532.763728136031
21.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
37.0ms288×body256valid
Compiler

Compiled 329 to 262 computations (20.4% saved)

bsearch47.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0004868018746435454
6532.763728136031
28.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
43.0ms288×body256valid
Compiler

Compiled 293 to 235 computations (19.8% saved)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0004868018746435454
6532.763728136031
19.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
35.0ms288×body256valid
Compiler

Compiled 185 to 145 computations (21.6% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0004868018746435454
6532.763728136031
19.0ms
-5608.804710342635
-1.0539756481276656e-5
Results
38.0ms288×body256valid
Compiler

Compiled 176 to 136 computations (22.7% saved)

bsearch19.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.0004868018746435454
6532.763728136031
Results
18.0ms144×body256valid
Compiler

Compiled 95 to 73 computations (23.2% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
9×+-commutative
9×*-commutative
5×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063582
184582
293582
399582
4102582
5103582
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (neg.f64 (log.f64 (*.f64 x -2))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (neg.f64 (log.f64 (*.f64 x -2))) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (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 -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (neg.f64 (log.f64 (*.f64 x -2))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (neg.f64 (log.f64 (*.f64 x -2))) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (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 179 to 135 computations (24.6% saved)

soundness1.2s (17.7%)

Rules
978×fma-def
978×fma-def
772×fma-def
516×associate-+r-
474×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
745996
854496
986496
10184496
11364596
12430396
13446296
14450696
15452196
16452196
17455296
18455296
19715696
20735796
21791596
01042
19942
2124142
03556736
18806344
226315571
04238463
110557385
232347252
03556736
18806344
226315571
04238463
110557385
232347252
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 566 to 409 computations (27.7% saved)

end0.0ms (0%)

preprocess237.0ms (3.4%)

Compiler

Compiled 414 to 304 computations (26.6% saved)

Profiling

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