Hyperbolic arcsine

Time bar (total: 7.5s)

analyze86.0ms (1.1%)

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)

sample3.1s (42.1%)

Results
1.4s2679×body1024valid
628.0ms1169×body2048valid
533.0ms3072×body256valid
517.0ms1305×body512valid
18.0ms31×body4096valid
Bogosity

preprocess433.0ms (5.8%)

Algorithm
egg-herbie
Rules
1544×fma-def
1032×associate-+r-
798×associate-+r+
776×associate-+l-
662×associate--r-
Problems
126×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
71×(sqrt.f64 (+.f64 (*.f64 x x) 1))
39×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
20×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
745996
854496
986396
10184396
11364496
12430296
13446196
14450596
15452096
16452096
17455196
18455196
19714696
20734796
21790796
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)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize131.0ms (1.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
69.5%
(+.f64 x (hypot.f64 1 x))
54.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite344.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff
606×unpow-prod-down
455×log1p-expm1-u
455×expm1-log1p-u
424×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19942
2124142
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify268.0ms (3.6%)

Algorithm
egg-herbie
Rules
1956×fma-def
672×distribute-lft-in
642×distribute-rgt-in
566×sqr-pow
486×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03536575
18736185
226285465
Stop Event
node limit
Counts
143 → 226
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
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(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval199.0ms (2.7%)

Compiler

Compiled 3590 to 2768 computations (22.9% saved)

prune44.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2188226
Fresh000
Picked011
Done000
Total2189227
Accuracy
100.0%
Counts
227 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
32.9%
(log.f64 (/.f64 -1/2 x))
33.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
32.9%
(log.f64 (/.f64 -1/2 x))
33.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
Compiler

Compiled 266 to 208 computations (21.8% saved)

localize238.0ms (3.2%)

Compiler

Compiled 117 to 88 computations (24.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune17.0ms (0.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done011
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
32.9%
(log.f64 (/.f64 -1/2 x))
33.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
32.9%
(log.f64 (/.f64 -1/2 x))
33.4%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
Compiler

Compiled 142 to 110 computations (22.5% saved)

localize223.0ms (3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (hypot.f64 1 x) x)
75.9%
(log.f64 (-.f64 (hypot.f64 1 x) x))
100.0%
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
99.9%
(/.f64 1/8 (pow.f64 x 3))
79.9%
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
Compiler

Compiled 59 to 43 computations (27.1% saved)

series7.0ms (0.1%)

Counts
5 → 48
Calls

15 calls:

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

rewrite151.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1177×log1p-expm1-u
1177×expm1-log1p-u
376×expm1-udef
376×log1p-udef
144×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018124
1233116
23321116
Stop Event
node limit
Counts
5 → 167
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(/.f64 1/8 (pow.f64 x 3))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
Outputs
(+.f64 0 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))) (log.f64 (pow.f64 x 4)))
(-.f64 (log.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(-.f64 (log.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)
(*.f64 1/8 (pow.f64 x -3))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(*.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 2)))
(*.f64 1 (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 x -3) 1/8)
(*.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)) 1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) 1) (/.f64 1/2 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 1/8 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 1/2 x) 3)
(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 1/8 (pow.f64 x -3))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))
(+.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x -3)) (*.f64 (/.f64 -1/2 x) 1))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (/.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(*.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4)))) (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))))
(/.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))
(/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4)))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 1/8 (*.f64 x 2)) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 1/8 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/2)) (*.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 x (*.f64 (*.f64 (pow.f64 x 3) 8) 1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) x))
(/.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (pow.f64 x 3) 8) 1)) (*.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 x 2)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 x 3) 8) -1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 -1/8 x) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 -1/8 (*.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 -1/8 (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))) (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (-.f64 (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (*.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)
(pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))
(fma.f64 1 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))
(fma.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/2 x) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 -1/2 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 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 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))
(+.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 (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 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.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 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.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 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (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 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 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)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(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)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (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))

simplify145.0ms (1.9%)

Algorithm
egg-herbie
Rules
1452×fma-neg
798×div-sub
728×fma-def
566×log-prod
482×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05068136
113927473
256357465
Stop Event
node limit
Counts
215 → 321
Calls
Call 1
Inputs
(+.f64 (log.f64 1/8) (*.f64 -3 (log.f64 x)))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x))))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x)))))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.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) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/8 (pow.f64 x 3))
(-.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.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 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.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 0 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))) (log.f64 (pow.f64 x 4)))
(-.f64 (log.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))) (log.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(-.f64 (log.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)
(*.f64 1/8 (pow.f64 x -3))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(*.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 2)))
(*.f64 1 (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 x -3) 1/8)
(*.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)) 1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/4 (pow.f64 x 2)) 1) (/.f64 1/2 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 1/8 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 1/2 x) 3)
(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 1/8 (pow.f64 x -3))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))
(+.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x -3)) (*.f64 (/.f64 -1/2 x) 1))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(*.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (/.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(*.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4)))) (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))))
(/.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))
(/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3))) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4)))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2))) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 1/8 (*.f64 x 2)) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 1/8 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/2)) (*.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 x (*.f64 (*.f64 (pow.f64 x 3) 8) 1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) x))
(/.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (pow.f64 x 3) 8) 1)) (*.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 x 2)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 x 3) 8) -1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 -1/8 x) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 -1/8 (*.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (-.f64 (*.f64 -1/8 (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2))) (neg.f64 (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (*.f64 1/8 (pow.f64 x -3)))) (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (-.f64 (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (*.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 x) (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)
(pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))
(fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))
(fma.f64 1 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))
(fma.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/2 x) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 -1/2 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 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 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))
(+.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 (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 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.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 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.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 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (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 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 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)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(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)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (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))
Outputs
(+.f64 (log.f64 1/8) (*.f64 -3 (log.f64 x)))
(fma.f64 -3 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x))))
(+.f64 (log.f64 1/8) (fma.f64 -4 (pow.f64 x 2) (*.f64 -3 (log.f64 x))))
(+.f64 (*.f64 -4 (pow.f64 x 2)) (fma.f64 -3 (log.f64 x) (log.f64 1/8)))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x)))))
(+.f64 (log.f64 1/8) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (*.f64 -3 (log.f64 x)))))
(+.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 2))) (fma.f64 -3 (log.f64 x) (log.f64 1/8)))
(+.f64 (log.f64 1/8) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -3 (log.f64 x))))))
(+.f64 (log.f64 1/8) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -4 (pow.f64 x 2) (*.f64 -3 (log.f64 x))))))
(+.f64 (log.f64 1/8) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -3 (log.f64 x) (*.f64 -4 (pow.f64 x 2))))))
(+.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 (log.f64 -1/2) (-.f64 (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) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2))) (/.f64 1/192 (pow.f64 x 6)))
(+.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) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6))))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1/32 (pow.f64 x 4)))
(/.f64 1/8 (pow.f64 x 3))
(-.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 1/2 (/.f64 1 x)))
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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))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(-.f64 (hypot.f64 1 x) (-.f64 x (*.f64 0 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(-.f64 (hypot.f64 1 x) (-.f64 x (*.f64 0 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(-.f64 (hypot.f64 1 x) (-.f64 x (*.f64 0 x)))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.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 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.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 1 (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 -1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)

eval132.0ms (1.8%)

Compiler

Compiled 5171 to 4140 computations (19.9% saved)

prune62.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3201321
Fresh011
Picked112
Done066
Total3219330
Accuracy
100.0%
Counts
330 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
33.8%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
32.9%
(log.f64 (/.f64 -1/2 x))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
33.8%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
32.9%
(log.f64 (/.f64 -1/2 x))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
Compiler

Compiled 140 to 108 computations (22.9% saved)

localize59.0ms (0.8%)

Compiler

Compiled 35 to 26 computations (25.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done077
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
49.6%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
37.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
33.8%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
32.9%
(log.f64 (/.f64 -1/2 x))
19.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
23.3%
(log.f64 (+.f64 x (hypot.f64 1 x)))
18.3%
(log.f64 (*.f64 x 2))
51.7%
x
Compiler

Compiled 151 to 114 computations (24.5% saved)

regimes48.0ms (0.6%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

20.0ms
x
16.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
90.2%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
90.2%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 102 to 74 computations (27.5% saved)

regimes31.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes16.0ms (0.2%)

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

14.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes23.0ms (0.3%)

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

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes13.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes21.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (*.f64 x 2))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

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

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
68.5%2x
Compiler

Compiled 8 to 5 computations (37.5% 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
51.7%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch43.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.1813206521951678e-7
1.578868733388573
23.0ms
-9.219293549082739
-0.0005720791973633968
Results
39.0ms272×body256valid
Compiler

Compiled 413 to 324 computations (21.5% saved)

bsearch54.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.1813206521951678e-7
1.578868733388573
27.0ms
-9.219293549082739
-0.0005720791973633968
Results
50.0ms272×body256valid
Compiler

Compiled 311 to 239 computations (23.2% saved)

bsearch44.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.1813206521951678e-7
1.578868733388573
24.0ms
-9.219293549082739
-0.0005720791973633968
Results
40.0ms272×body256valid
Compiler

Compiled 327 to 255 computations (22% saved)

bsearch40.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.1813206521951678e-7
1.578868733388573
17.0ms
-9.219293549082739
-0.0005720791973633968
Results
36.0ms272×body256valid
Compiler

Compiled 363 to 291 computations (19.8% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
2.1813206521951678e-7
1.578868733388573
20.0ms
-9.219293549082739
-0.0005720791973633968
Results
43.0ms272×body256valid
Compiler

Compiled 309 to 246 computations (20.4% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.1813206521951678e-7
1.578868733388573
25.0ms
-9.219293549082739
-0.0005720791973633968
Results
43.0ms272×body256valid
Compiler

Compiled 269 to 214 computations (20.4% saved)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.1813206521951678e-7
1.578868733388573
17.0ms
-9.219293549082739
-0.0005720791973633968
Results
35.0ms272×body256valid
Compiler

Compiled 167 to 129 computations (22.8% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.1813206521951678e-7
1.578868733388573
Results
19.0ms144×body256valid
Compiler

Compiled 95 to 73 computations (23.2% saved)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
24×+-commutative
20×*-commutative
14×sub-neg
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073704
197704
2109704
3117704
4121704
5122704
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -8762203435012037/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7839866231326559/1152921504606846976) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8116567392432203/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2674777890687885/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 2674777890687885/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -8762203435012037/1152921504606846976) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7839866231326559/1152921504606846976) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8116567392432203/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2674777890687885/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 2674777890687885/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 213 to 158 computations (25.8% saved)

soundness1.1s (14.5%)

Rules
1956×fma-def
1956×fma-def
1544×fma-def
1452×fma-neg
1032×associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
529096
637296
745996
854496
986396
10184396
11364496
12430296
13446196
14450596
15452096
16452096
17455196
18455196
19714696
20734796
21790796
01042
19942
2124142
03536575
18736185
226285465
03536575
18736185
226285465
05068136
113927473
256357465
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 555 to 400 computations (27.9% saved)

end0.0ms (0%)

preprocess159.0ms (2.1%)

Compiler

Compiled 480 to 348 computations (27.5% saved)

Profiling

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