Hyperbolic arcsine

Time bar (total: 10.5s)

analyze87.0ms (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample2.8s (27%)

Results
1.3s2583×body1024valid
554.0ms1148×body2048valid
531.0ms3197×body256valid
408.0ms1295×body512valid
20.0ms33×body4096valid
Bogosity

preprocess353.0ms (3.4%)

Algorithm
egg-herbie
Rules
1544×fma-def
1032×associate-+r-
798×associate-+r+
774×associate-+l-
662×associate--r-
Problems
146×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
54×(sqrt.f64 (+.f64 (*.f64 x x) 1))
34×No Errors
22×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize319.0ms (3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
84.0%
(+.f64 x (hypot.f64 1 x))
47.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
84.0%
(+.f64 x (sqrt.f64 (fma.f64 x x 1)))
80.1%
(sqrt.f64 (fma.f64 x x 1))
47.4%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
Compiler

Compiled 44 to 27 computations (38.6% saved)

series6.0ms (0.1%)

Counts
5 → 60
Calls

15 calls:

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

rewrite145.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1218×prod-diff
736×unpow-prod-down
561×log1p-expm1-u
561×expm1-log1p-u
504×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015139
118294
2262794
Stop Event
node limit
Counts
5 → 339
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(sqrt.f64 (fma.f64 x x 1))
(+.f64 x (sqrt.f64 (fma.f64 x x 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x 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 (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 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) (cbrt.f64 (exp.f64 (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (hypot.f64 1 x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x 1))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 x)) 1/2) (pow.f64 (pow.f64 (hypot.f64 1 x) 3/2) 1/2))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3/2) 1/2) (pow.f64 (sqrt.f64 (hypot.f64 1 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 5) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (cbrt.f64 (hypot.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 5) 1/3))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3/2) 1/3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 1 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 4) 1/3) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 1 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 1 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3/2)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 x) 4) 1/4)
(pow.f64 (pow.f64 (hypot.f64 1 x) 6) 1/6)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) 1))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))) 1))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
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(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.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 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (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 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)

simplify167.0ms (1.6%)

Algorithm
egg-herbie
Rules
970×log-prod
714×exp-prod
600×times-frac
578×cube-prod
572×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054915306
1136114961
2451314941
Stop Event
node limit
Counts
399 → 331
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 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
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))))
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 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x 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))))
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(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (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 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 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 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (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 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))) (/.f64 5/96 (pow.f64 x 6)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16)) (fma.f64 (pow.f64 x 2) 1/2 1))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 1))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (+.f64 x (fma.f64 (pow.f64 x 2) 1/2 1)) (*.f64 (pow.f64 x 4) -1/8))
(+.f64 x (+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (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 (+.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)))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)

eval118.0ms (1.1%)

Compiler

Compiled 5209 to 4061 computations (22% saved)

prune66.0ms (0.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New31615331
Fresh000
Picked022
Done000
Total31617333
Accuracy
100.0%
Counts
333 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
5.5%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
5.8%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
17.5%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
11.7%
(log.f64 (+.f64 x 1))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
5.5%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
5.8%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
17.5%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
11.7%
(log.f64 (+.f64 x 1))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
Compiler

Compiled 612 to 464 computations (24.2% saved)

localize271.0ms (2.6%)

Compiler

Compiled 150 to 114 computations (24% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune25.0ms (0.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New000
Fresh01010
Picked055
Done022
Total01717
Accuracy
100.0%
Counts
17 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
5.5%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
5.8%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
17.5%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
11.7%
(log.f64 (+.f64 x 1))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
5.5%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
5.8%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
17.5%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
19.0%
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
11.7%
(log.f64 (+.f64 x 1))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
Compiler

Compiled 512 to 384 computations (25% saved)

localize511.0ms (4.9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
100.0%
(-.f64 (hypot.f64 1 x) x)
77.7%
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
99.9%
(/.f64 1/8 (pow.f64 x 3))
86.8%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
100.0%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
100.0%
(+.f64 x (/.f64 1/2 x))
77.7%
(log.f64 (+.f64 x 1))
100.0%
(+.f64 x (hypot.f64 1 x))
100.0%
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
77.6%
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 158 to 107 computations (32.3% saved)

series24.0ms (0.2%)

Counts
11 → 104
Calls

33 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(/.f64 1/8 (pow.f64 x 3))
2.0ms
x
@-inf
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
1.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))

rewrite100.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
310×associate-*r*
244×log1p-expm1-u
244×expm1-log1p-u
243×add-exp-log
240×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032292
1519244
Stop Event
node limit
Counts
11 → 373
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 x 1))
(+.f64 x (/.f64 1/2 x))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(/.f64 1/8 (pow.f64 x 3))
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
Outputs
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (sqrt.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (/.f64 (fma.f64 x x 1) (-.f64 (hypot.f64 1 x) x)) (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 2))) 3) (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))
(*.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) 1) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) 1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) (cbrt.f64 (/.f64 1/4 (pow.f64 x 2)))) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 8) -1)
(sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))
(cbrt.f64 (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (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 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (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) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.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)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (+.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 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.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 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.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 x 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(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 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(+.f64 (fma.f64 x x 1) (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 x 2))))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 x) x (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 x 2)) 1 (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 x x 1))
(*.f64 1 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))
(pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(fma.f64 1 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (pow.f64 x 2)))

simplify277.0ms (2.6%)

Algorithm
egg-herbie
Rules
1258×fma-def
1184×times-frac
478×cancel-sign-sub-inv
422×associate-+l+
410×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100019165
1249217433
Stop Event
node limit
Counts
477 → 685
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
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))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 x)
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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x
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1
1
1
1
1
1
1
1
1
1
1
1
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (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) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.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)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (+.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 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.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 (fma.f64 x x 1) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.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 x 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(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 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(+.f64 (fma.f64 x x 1) (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 x 2))))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 x) x (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 x 2)) 1 (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 x x 1))
(*.f64 1 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))
(pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(fma.f64 1 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (pow.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (pow.f64 x 2)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x 1))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 -1/8 (pow.f64 x 4))))
(*.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 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (*.f64 (pow.f64 x 3) 1/3))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/4)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (pow.f64 x 2))))
(/.f64 1/2 x)
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (/.f64 1/2 x))
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1
1
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1
1
1
1
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1
1
1
1
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(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 x 2)) 1 (pow.f64 x 2)))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 x) x (pow.f64 x 2)))
(+.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))
(+.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 x x 1))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 1 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) (pow.f64 (fma.f64 x x 1) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) (pow.f64 (fma.f64 x x 1) 2))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) (pow.f64 (fma.f64 x x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (pow.f64 x 2) (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 x 4)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) (pow.f64 (fma.f64 x x 1) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (fma.f64 x x 1) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 x 2)) (pow.f64 (fma.f64 x x 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 1)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 3)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3) 1/3)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 2)
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 2))
(fabs.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) 3))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) 1))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(fma.f64 1 (fma.f64 x x 1) (neg.f64 (pow.f64 x 2)))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (pow.f64 x 2)))
(-.f64 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (pow.f64 x 2)))
(-.f64 (fma.f64 x x 1) (pow.f64 x 2))
(+.f64 1 (*.f64 (neg.f64 x) 0))

eval475.0ms (4.5%)

Compiler

Compiled 12552 to 9483 computations (24.5% saved)

prune160.0ms (1.5%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New6796685
Fresh145
Picked325
Done257
Total68517702
Accuracy
100.0%
Counts
702 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(-.f64 (log.f64 (+.f64 1 (*.f64 (neg.f64 x) 0))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
31.0%
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
83.0%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
63.8%
(log1p.f64 x)
23.1%
(log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
23.1%
(-.f64 (log.f64 (+.f64 1 (*.f64 (neg.f64 x) 0))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
29.4%
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
26.0%
(+.f64 (log.f64 2) (log.f64 x))
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
31.0%
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
31.0%
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
83.0%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
63.8%
(log1p.f64 x)
23.1%
(log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
18.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.8%
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
Compiler

Compiled 468 to 362 computations (22.6% saved)

localize460.0ms (4.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (hypot.f64 1 x) x)
70.1%
(log.f64 (-.f64 (hypot.f64 1 x) x))
100.0%
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
100.0%
(+.f64 x (hypot.f64 1 x))
70.1%
(log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
85.5%
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 144 to 93 computations (35.4% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite82.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1724×prod-diff
1001×log1p-expm1-u
720×expm1-log1p-u
332×expm1-udef
332×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491
119991
2278991
Stop Event
node limit
Counts
4 → 106
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) 1)
(log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
Outputs
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 0 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2)))
(-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 (hypot.f64 1 x) 2))) (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2) 2)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (neg.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 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 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 (exp.f64 (log1p.f64 (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 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) 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 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))

simplify81.0ms (0.8%)

Algorithm
egg-herbie
Rules
680×distribute-rgt-in
678×associate-/l*
668×distribute-lft-in
500×associate-/r*
492×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03365195
18125003
226474951
Stop Event
node limit
Counts
154 → 233
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 -5/128 (pow.f64 x 8)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.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 -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))))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (pow.f64 (hypot.f64 1 x) 2) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (hypot.f64 1 x)))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 0 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2)))
(-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 (hypot.f64 1 x) 2))) (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -1/2) 2)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (neg.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 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 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 (exp.f64 (log1p.f64 (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 (+.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) 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 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6))))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 -5/128 (pow.f64 x 8)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/16 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -5/128 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 6)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 x (-.f64 (/.f64 1/2 x) 1))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 (+.f64 x -1) (/.f64 1/2 x))
(-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 x))) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 -1 (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 -1 (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 (fma.f64 -1 x (/.f64 1/8 (pow.f64 x 3))) 1) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (-.f64 -1 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) x)
(fma.f64 (pow.f64 x 3) 1/6 (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 (pow.f64 x 3) 1/6)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (*.f64 -3/40 (pow.f64 x 5))) x)
(+.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)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 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) (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 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 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 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 -1/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (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 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 x (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4))) (-.f64 1 x))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (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 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (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 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -5/128 (pow.f64 x 7))) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 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 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1 x (*.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) x)
(fma.f64 (pow.f64 x 3) 1/6 (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 (pow.f64 x 3) 1/6)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 (*.f64 -3/40 (pow.f64 x 5))) x)
(+.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)))))
(fma.f64 -1 x (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))))
(-.f64 (fma.f64 -3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/6 (*.f64 5/112 (pow.f64 x 7)))) x)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 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) (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 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 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 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 -1/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (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 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))) (/.f64 3/32 (pow.f64 x 4)))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(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))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(log1p.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))

eval210.0ms (2%)

Compiler

Compiled 8571 to 6597 computations (23% saved)

prune102.0ms (1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New4444448
Fresh145
Picked235
Done257
Total44916465
Accuracy
100.0%
Counts
465 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
56.5%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.1%
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))))
31.0%
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
26.1%
(neg.f64 (log.f64 (/.f64 1/2 x)))
19.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
31.0%
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
71.3%
(log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))))
83.0%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
63.8%
(log1p.f64 x)
23.1%
(log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))
17.9%
(log.f64 (/.f64 -1/2 x))
31.0%
(log.f64 (+.f64 x (hypot.f64 1 x)))
26.7%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
25.7%
(log.f64 (*.f64 x 2))
58.2%
x
Compiler

Compiled 392 to 292 computations (25.5% saved)

regimes70.0ms (0.7%)

Counts
28 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(neg.f64 (log.f64 (/.f64 1 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (+.f64 x (/.f64 (pow.f64 x 2) (-.f64 (hypot.f64 1 x) -1))))
(-.f64 (log.f64 (+.f64 1 (*.f64 (neg.f64 x) 0))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
Outputs
(log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
Calls

3 calls:

43.0ms
x
7.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.4%2x
90.7%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
90.7%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 272 to 197 computations (27.6% saved)

regimes29.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 111 to 80 computations (27.9% saved)

regimes40.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 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 (hypot.f64 1 x)))
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes30.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (/.f64 1/2 x)))
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes28.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (/.f64 1/2 x)))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 47 to 32 computations (31.9% saved)

regimes22.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
Outputs
(log.f64 (/.f64 -1/2 x))
x
(neg.f64 (log.f64 (/.f64 1/2 x)))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
(log.f64 (/.f64 -1/2 x))
Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (*.f64 x 2))
(log.f64 (+.f64 x 1))
Outputs
x
(log.f64 (*.f64 x 2))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
82.1%2x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(log1p.f64 x)
Outputs
(log1p.f64 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
63.8%1x
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
58.2%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-0.20146383571800455
-5.3878224481229366e-18
Results
23.0ms160×body256valid
Compiler

Compiled 264 to 210 computations (20.5% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-3014.3459761526465
-2.219144099048555
Results
16.0ms128×body256valid
Compiler

Compiled 182 to 146 computations (19.8% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
4.984177751818503e-7
0.001547673737399006
13.0ms
-2.219144099048555
-0.20146383571800455
Results
38.0ms224×body256valid
Compiler

Compiled 270 to 210 computations (22.2% saved)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.22981372761542024
244.2601616473775
14.0ms
-2.219144099048555
-0.20146383571800455
Results
28.0ms224×body256valid
Compiler

Compiled 262 to 210 computations (19.8% saved)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.22981372761542024
244.2601616473775
14.0ms
-2.219144099048555
-0.20146383571800455
Results
29.0ms224×body256valid
Compiler

Compiled 232 to 186 computations (19.8% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
0.22981372761542024
244.2601616473775
13.0ms
-2.219144099048555
-0.20146383571800455
Results
34.0ms224×body256valid
Compiler

Compiled 148 to 116 computations (21.6% saved)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.22981372761542024
244.2601616473775
13.0ms
-2.219144099048555
-0.20146383571800455
Results
30.0ms224×body256valid
Compiler

Compiled 140 to 108 computations (22.9% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.22981372761542024
244.2601616473775
Results
16.0ms128×body256valid
Compiler

Compiled 86 to 66 computations (23.3% saved)

simplify30.0ms (0.3%)

Algorithm
egg-herbie
Rules
74×neg-mul-1
58×unsub-neg
58×distribute-lft-neg-in
48×*-commutative
44×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067607
190603
2112603
3131603
4169603
5223603
6233603
7244603
8266603
9295603
10325603
11344603
12352603
13354603
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -320) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.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))) (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
(log1p.f64 x)
x
Outputs
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (+.f64 1 (*.f64 (neg.f64 x) 0)) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (+.f64 1 (neg.f64 (*.f64 x 0))) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (-.f64 1 (*.f64 x 0)) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (-.f64 1 (*.f64 x 0)) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -6456360425798343/2305843009213693952) (log.f64 (/.f64 (+.f64 1 (*.f64 x 0)) (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -320) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -320) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.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))) (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (neg.f64 (log.f64 (/.f64 1/2 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
(log1p.f64 x)
x
Compiler

Compiled 185 to 138 computations (25.4% saved)

soundness3.0s (28.2%)

Rules
1544×fma-def
1544×fma-def
1258×fma-def
1258×fma-def
1258×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
015139
118294
2262794
054915306
1136114961
2451314941
032292
1519244
0100019165
1249217433
032292
1519244
0100019165
1249217433
032292
1519244
0100019165
1249217433
054915306
1136114961
2451314941
032292
1519244
03365195
18125003
226474951
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1533 to 1099 computations (28.3% saved)

end0.0ms (0%)

preprocess153.0ms (1.5%)

Compiler

Compiled 422 to 306 computations (27.5% saved)

Profiling

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