Hyperbolic arcsine

Time bar (total: 12.5s)

analyze130.0ms (1%)

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

Compiled 11 to 8 computations (27.3% saved)

sample4.3s (34.5%)

Results
1.9s2573×body1024valid
1.1s1217×body2048valid
755.0ms3164×body256valid
550.0ms1254×body512valid
43.0ms48×body4096valid
Bogosity

preprocess638.0ms (5.1%)

Algorithm
egg-herbie
Rules
4550×fma-def
3750×associate-+r+
3054×associate-+l+
1272×distribute-lft-in
480×distribute-lft-out
Problems
141×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
59×(sqrt.f64 (+.f64 (*.f64 x x) 1))
33×No Errors
23×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01673
13351
25951
310651
418151
527051
633551
738951
842251
949151
1071951
1198551
12121051
13139251
14140251
15140451
16140451
17219651
18245151
19269951
20283251
21284751
22284751
23454551
24454551
25454551
26454551
27454551
28762551
29767451
30785651
31794851
32795951
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))))
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))
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
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize105.0ms (0.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
78.1%
(+.f64 x (hypot.f64 1 x))
49.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1590×pow1
1466×add-exp-log
1466×log1p-expm1-u
1466×expm1-log1p-u
1432×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115830
2199930
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.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)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(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)
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 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 (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.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))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) 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))

simplify87.0ms (0.7%)

Algorithm
egg-herbie
Rules
1598×fma-def
1082×fma-neg
724×unswap-sqr
700×log-prod
462×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02132568
15342192
216792044
366162044
Stop Event
node limit
Counts
80 → 141
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 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.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)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(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)
(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)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 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 (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 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.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))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
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(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (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 (+.f64 1 (+.f64 x (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 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (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 (+.f64 1 (+.f64 x (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 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval63.0ms (0.5%)

Compiler

Compiled 1990 to 1467 computations (26.3% saved)

prune27.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1347141
Fresh000
Picked011
Done000
Total1348142
Accuracy
100.0%
Counts
142 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
Compiler

Compiled 270 to 200 computations (25.9% saved)

localize213.0ms (1.7%)

Compiler

Compiled 97 to 67 computations (30.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done011
Total088
Accuracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
Compiler

Compiled 144 to 106 computations (26.4% saved)

localize1.5s (11.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
79.9%
(-.f64 (hypot.f64 1 x) x)
78.0%
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
60.7%
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
27.4%
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
Compiler

Compiled 98 to 68 computations (30.6% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite108.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1480×log-prod
1194×fma-def
730×pow-exp
566×expm1-udef
564×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016104
1337104
24199104
Stop Event
node limit
Counts
4 → 239
Calls
Call 1
Inputs
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(-.f64 (hypot.f64 1 x) x)
Outputs
(+.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 0)
(+.f64 0 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3))) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (*.f64 (*.f64 x x) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (-.f64 (*.f64 x x) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 2))
(log1p.f64 (-.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) 1))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 0)
(+.f64 0 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(+.f64 (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x 1) (*.f64 x (hypot.f64 1 x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))) (log.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 1 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 2 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 2))
(log1p.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1)
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 2))
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(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))

simplify166.0ms (1.3%)

Algorithm
egg-herbie
Rules
1622×times-frac
1032×fma-neg
768×fma-def
650×log-prod
496×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063310097
115799767
251309695
Stop Event
node limit
Counts
287 → 423
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2)))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(*.f64 3/2 (pow.f64 x 2))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/2 (pow.f64 x 5)) (+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 3/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(*.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(*.f64 -3/2 x)
(-.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -3/2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -3/2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/128 (/.f64 1 (pow.f64 x 5))) (*.f64 3/8 (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 0)
(+.f64 0 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3))) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (*.f64 (*.f64 x x) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (-.f64 (*.f64 x x) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 2))
(log1p.f64 (-.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) 1))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 0)
(+.f64 0 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(+.f64 (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x 1) (*.f64 x (hypot.f64 1 x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))) (log.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 1 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(*.f64 2 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 2))
(log1p.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 1)
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(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 -1 x (hypot.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 3/2 (*.f64 x x)))
(-.f64 (*.f64 x (*.f64 x 3/2)) x)
(-.f64 (*.f64 3/2 (*.f64 x x)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2))))
(fma.f64 -1 x (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (*.f64 x x))))
(-.f64 (fma.f64 3/2 (*.f64 x x) (*.f64 7/6 (pow.f64 x 3))) x)
(-.f64 (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (*.f64 x x))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (*.f64 3/2 (pow.f64 x 2)))))
(fma.f64 -1 x (fma.f64 -3/4 (pow.f64 x 4) (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (*.f64 x x)))))
(-.f64 (fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (*.f64 7/6 (pow.f64 x 3)))) x)
(-.f64 (fma.f64 -3/4 (pow.f64 x 4) (fma.f64 7/6 (pow.f64 x 3) (*.f64 3/2 (*.f64 x x)))) x)
(*.f64 -2 (log.f64 (/.f64 1 x)))
(*.f64 -2 (neg.f64 (log.f64 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/12 (pow.f64 x 6)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 -1/12 (pow.f64 x 6)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1/12 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/64 (pow.f64 x 8)))) (/.f64 1/12 (pow.f64 x 6)))
(+.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 5/64 (pow.f64 x 8))) (/.f64 -1/12 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/64 (pow.f64 x 8))) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1/12 (pow.f64 x 6))))
(+.f64 (log.f64 3) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))
(+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 3) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)))
(-.f64 (+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 3) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/6 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/6 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 3) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 3) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/12 (pow.f64 x 6)))) (/.f64 1/6 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 3) (+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/12 (pow.f64 x 6))))) (/.f64 -1/6 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1/12 (pow.f64 x 6)))) (+.f64 (log.f64 3) (/.f64 -1/6 (pow.f64 x 4))))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (*.f64 x x))
(*.f64 x (*.f64 x 3/2))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 3/2 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 3/2 x))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 -3/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3/2 x)))
(+.f64 (*.f64 -3/2 (pow.f64 x 5)) (+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(fma.f64 -3/2 (pow.f64 x 5) (fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 -3/2 (pow.f64 x 5) (fma.f64 -3/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3/2 x))))
(+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) -3))
(fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (*.f64 x x))))
(+.f64 (log.f64 2) (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (*.f64 x x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/32 (pow.f64 x 6)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 2)) (-.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/32 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (-.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 3/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 3/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 3/2) (-.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 3/2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 3/2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))) (/.f64 7/96 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -7/96 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -7/96 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 3/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 3/2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/32 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (/.f64 7/96 (pow.f64 x 4))))
(+.f64 (log.f64 3/2) (+.f64 (-.f64 (+.f64 (/.f64 1/32 (pow.f64 x 6)) (/.f64 (/.f64 1/4 x) x)) (log.f64 (/.f64 -1 x))) (/.f64 -7/96 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/32 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -7/96 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (*.f64 x x)) 1)
(fma.f64 3/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1 (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3)))
(+.f64 1 (*.f64 (*.f64 x x) (+.f64 3/2 x)))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 1 (fma.f64 3/8 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 (*.f64 x x) (+.f64 3/2 x))))
(*.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3)))
(fma.f64 3/2 x (*.f64 2 (pow.f64 x 3)))
(fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 (fma.f64 3/2 x (*.f64 2 (pow.f64 x 3))) (/.f64 3/8 x))
(+.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2)) (/.f64 3/8 x))
(+.f64 (fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3))) (/.f64 3/8 x))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 3/2 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/8 x) (-.f64 (fma.f64 3/2 x (*.f64 2 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 3))))
(+.f64 (/.f64 3/8 x) (-.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2)) (/.f64 1/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 3/8 x) (/.f64 -1/16 (pow.f64 x 3))))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(-.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (*.f64 x -3/2) (/.f64 3/8 x))
(fma.f64 x -3/2 (/.f64 -3/8 x))
(-.f64 (+.f64 (*.f64 -3/2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (fma.f64 -3/2 x (/.f64 1/16 (pow.f64 x 3))) (/.f64 3/8 x))
(+.f64 (/.f64 1/16 (pow.f64 x 3)) (fma.f64 x -3/2 (/.f64 -3/8 x)))
(-.f64 (+.f64 (*.f64 -3/2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/128 (/.f64 1 (pow.f64 x 5))) (*.f64 3/8 (/.f64 1 x))))
(-.f64 (fma.f64 -3/2 x (/.f64 1/16 (pow.f64 x 3))) (+.f64 (/.f64 3/8 x) (/.f64 3/128 (pow.f64 x 5))))
(+.f64 (-.f64 (fma.f64 x -3/2 (/.f64 1/16 (pow.f64 x 3))) (/.f64 3/128 (pow.f64 x 5))) (/.f64 -3/8 x))
(-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 3)) (fma.f64 x -3/2 (/.f64 -3/8 x))) (/.f64 3/128 (pow.f64 x 5)))
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 (*.f64 x x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 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 (*.f64 x x)))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x 1/2))) (-.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 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.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 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(*.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 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 0)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(+.f64 0 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
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(fma.f64 (cbrt.f64 (fma.f64 x x 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 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 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 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 x (neg.f64 x)))
(+.f64 x (-.f64 (-.f64 (hypot.f64 1 x) x) x))
(-.f64 (hypot.f64 1 x) (fma.f64 0 x x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 x (neg.f64 x)))
(+.f64 x (-.f64 (-.f64 (hypot.f64 1 x) x) x))
(-.f64 (hypot.f64 1 x) (fma.f64 0 x x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 x (neg.f64 x)))
(+.f64 x (-.f64 (-.f64 (hypot.f64 1 x) x) x))
(-.f64 (hypot.f64 1 x) (fma.f64 0 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)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 x (neg.f64 x)))
(+.f64 (-.f64 x x) (/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 -1 x (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (+.f64 x (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)

eval365.0ms (2.9%)

Compiler

Compiled 13359 to 9502 computations (28.9% saved)

prune127.0ms (1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New4221423
Fresh011
Picked011
Done066
Total4229431
Accuracy
100.0%
Counts
431 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
13.7%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
Compiler

Compiled 198 to 148 computations (25.3% saved)

localize1.3s (10.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
79.9%
(-.f64 (hypot.f64 1 x) x)
78.0%
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
60.7%
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
49.7%
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
Compiler

Compiled 126 to 92 computations (27% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
1.0ms
x
@inf
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
0.0ms
x
@0
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))

rewrite85.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1078×prod-diff
1012×log-prod
700×pow-prod-down
600×fma-def
540×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
122139
2275739
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
Outputs
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 0)
(+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(*.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(*.f64 2 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)))
(pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 2))
(log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))

simplify93.0ms (0.7%)

Algorithm
egg-herbie
Rules
1196×times-frac
1110×fma-def
886×associate-*r*
796×associate-*l*
508×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02032826
15182046
217721694
369261694
Stop Event
node limit
Counts
42 → 75
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 3/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 7/12 (pow.f64 x 3)) (*.f64 3/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 7/12 (pow.f64 x 3)) (*.f64 3/4 (pow.f64 x 2)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (pow.f64 (sqrt.f64 1/2) 4)) (*.f64 12 (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -180 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (+.f64 (*.f64 30 (pow.f64 (sqrt.f64 1/2) 6)) (*.f64 360 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/16 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (*.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))))))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (pow.f64 (sqrt.f64 1/2) 4)) (*.f64 12 (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 27/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2)))) (pow.f64 x 4))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -270 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2))) (+.f64 (*.f64 405/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 360 (/.f64 (-.f64 1/16 (*.f64 3/4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 27/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2)))) (pow.f64 x 4))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 0)
(+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(*.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(*.f64 2 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)))
(pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 2))
(log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))
Outputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 3/4 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 3/4 (*.f64 x x)))
(fma.f64 3/4 (*.f64 x x) (*.f64 -1/2 x))
(*.f64 x (+.f64 -1/2 (*.f64 x 3/4)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 7/12 (pow.f64 x 3)) (*.f64 3/4 (pow.f64 x 2))))
(fma.f64 -1/2 x (fma.f64 7/12 (pow.f64 x 3) (*.f64 3/4 (*.f64 x x))))
(fma.f64 -1/2 x (fma.f64 3/4 (*.f64 x x) (*.f64 7/12 (pow.f64 x 3))))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) (+.f64 3/4 (*.f64 x 7/12))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 7/12 (pow.f64 x 3)) (*.f64 3/4 (pow.f64 x 2)))))
(fma.f64 -1/2 x (fma.f64 -3/8 (pow.f64 x 4) (fma.f64 7/12 (pow.f64 x 3) (*.f64 3/4 (*.f64 x x)))))
(fma.f64 -1/2 x (fma.f64 -3/8 (pow.f64 x 4) (fma.f64 3/4 (*.f64 x x) (*.f64 7/12 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -3/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3/4 (*.f64 x 7/12)))))
(*.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 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (pow.f64 (sqrt.f64 1/2) 4)) (*.f64 12 (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -180 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (+.f64 (*.f64 30 (pow.f64 (sqrt.f64 1/2) 6)) (*.f64 360 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/16 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2))) (*.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))))))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (pow.f64 (sqrt.f64 1/2) 4)) (*.f64 12 (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (pow.f64 x 4))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/720 (/.f64 (fma.f64 -180 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2))) (fma.f64 30 (pow.f64 (sqrt.f64 1/2) 6) (*.f64 360 (-.f64 (fma.f64 -1 (+.f64 1/16 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2)) (/.f64 1/256 (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2))))))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (pow.f64 (sqrt.f64 1/2) 4) (*.f64 12 (-.f64 1/8 (pow.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 1/2) 2)) 2)))) (pow.f64 x 4)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 x x))))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 1/720 (/.f64 (+.f64 -45/8 (fma.f64 360 (fma.f64 -1 (+.f64 1/16 (pow.f64 (/.f64 1/16 (sqrt.f64 1/2)) 2)) -1/128) (*.f64 30 (pow.f64 (sqrt.f64 1/2) 6)))) (pow.f64 x 6)) (/.f64 0 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 x) (/.f64 -1/24 (pow.f64 x 6))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (sqrt.f64 3)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 3/4 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 3)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 (sqrt.f64 3)) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/4 x) x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 27/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2)))) (pow.f64 x 4))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (fma.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2)) (/.f64 9/16 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (/.f64 27/4 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2))) (pow.f64 x 4)) (/.f64 3/4 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 3)) (log.f64 (/.f64 -1 x))) (fma.f64 1/24 (/.f64 (fma.f64 12 (/.f64 (-.f64 (+.f64 5/32 (neg.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 1/3)) 2)) 3) -3/4) (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 3)) (+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 -1/12 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -270 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2))) (+.f64 (*.f64 405/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 3))) (*.f64 360 (/.f64 (-.f64 1/16 (*.f64 3/4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (*.f64 9/16 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (*.f64 27/4 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2)))) (pow.f64 x 4))) (*.f64 3/4 (/.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/720 (/.f64 (fma.f64 -270 (/.f64 (-.f64 (fma.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2)) (/.f64 9/16 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2)) (+.f64 (/.f64 405/4 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 3)) (*.f64 360 (/.f64 (+.f64 1/16 (*.f64 -3/4 (/.f64 (-.f64 (fma.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2)) (/.f64 9/16 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 12 (/.f64 (-.f64 (fma.f64 -1 (+.f64 1/8 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2)) (/.f64 9/16 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 2) 2)))) (/.f64 27/4 (pow.f64 (+.f64 1 (pow.f64 (sqrt.f64 2) 2)) 2))) (pow.f64 x 4)) (/.f64 3/4 (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (sqrt.f64 2) 2))))))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 3)) (log.f64 (/.f64 -1 x))) (fma.f64 1/720 (/.f64 (fma.f64 -270 (/.f64 (-.f64 (+.f64 5/32 (neg.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 1/3)) 2)) 9) (fma.f64 360 (-.f64 1/48 (/.f64 (/.f64 (-.f64 (+.f64 5/32 (neg.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 1/3)) 2)) 3) 4)) 15/4)) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (fma.f64 12 (/.f64 (-.f64 (+.f64 5/32 (neg.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 2)) 2))) (pow.f64 (*.f64 3/4 (sqrt.f64 1/3)) 2)) 3) -3/4) (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 3)) (+.f64 (/.f64 -1/12 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/24 (pow.f64 x 6))) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 0)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(fma.f64 1/6 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(fma.f64 1/6 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 2 (*.f64 1/4 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/6)))
(*.f64 2 (*.f64 1/4 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 2 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)))
(*.f64 2 (*.f64 1/4 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/2 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) 1/2)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1) 1))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 3))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1/3))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 2))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1))
(log1p.f64 (+.f64 -1 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))

eval764.0ms (6.1%)

Compiler

Compiled 14850 to 11472 computations (22.7% saved)

prune258.0ms (2.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4221423
Fresh011
Picked011
Done077
Total42210432
Accuracy
100.0%
Counts
432 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.3%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 2 (*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)))))
13.7%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
13.4%
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
55.2%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
23.9%
(log.f64 (/.f64 -1/2 x))
28.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
22.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
27.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.9%
(log.f64 (+.f64 x x))
57.0%
x
Compiler

Compiled 260 to 193 computations (25.8% saved)

regimes241.0ms (1.9%)

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

3 calls:

97.0ms
x
51.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
36.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
100.0%3x
91.4%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
91.4%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 151 to 109 computations (27.8% saved)

regimes72.0ms (0.6%)

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

1 calls:

67.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes74.0ms (0.6%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.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))))
Outputs
(log.f64 (/.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:

69.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 29 to 20 computations (31% saved)

regimes58.0ms (0.5%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(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 x))
Calls

1 calls:

55.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes57.0ms (0.5%)

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

1 calls:

55.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes29.0ms (0.2%)

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

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
77.0%2x
Compiler

Compiled 8 to 4 computations (50% saved)

regimes11.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
57.0%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
4.7098985583746366e-5
0.08241033735463218
37.0ms
-697922.9011467118
-1.1028852455375652e-6
Results
58.0ms288×body256valid
Compiler

Compiled 340 to 264 computations (22.4% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.7098985583746366e-5
0.08241033735463218
22.0ms
-697922.9011467118
-1.1028852455375652e-6
Results
36.0ms288×body256valid
Compiler

Compiled 300 to 234 computations (22% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.08241033735463218
10.373681154168214
35.0ms
-697922.9011467118
-1.1028852455375652e-6
Results
45.0ms272×body256valid
Compiler

Compiled 311 to 249 computations (19.9% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.08241033735463218
10.373681154168214
37.0ms
-697922.9011467118
-1.1028852455375652e-6
Results
47.0ms272×body256valid
Compiler

Compiled 269 to 207 computations (23% saved)

bsearch43.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.08241033735463218
10.373681154168214
26.0ms
-697922.9011467118
-1.1028852455375652e-6
Results
39.0ms272×body256valid
Compiler

Compiled 167 to 122 computations (26.9% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.08241033735463218
10.373681154168214
Results
18.0ms112×body256valid
Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×+-commutative
*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051341
161341
264341
366341
467341
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -662929865148937/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 7932099951695107/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7932099951695107/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -662929865148937/576460752303423488) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 7932099951695107/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7932099951695107/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 140 to 100 computations (28.6% saved)

soundness1.0s (8.3%)

Rules
4550×fma-def
3750×associate-+r+
3054×associate-+l+
1598×fma-def
1598×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01673
13351
25951
310651
418151
527051
633551
738951
842251
949151
1071951
1198551
12121051
13139251
14140251
15140451
16140451
17219651
18245151
19269951
20283251
21284751
22284751
23454551
24454551
25454551
26454551
27454551
28762551
29767451
30785651
31794851
32795951
0830
115830
2199930
02132568
15342192
216792044
366162044
02132568
15342192
216792044
366162044
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 303 to 183 computations (39.6% saved)

end0.0ms (0%)

preprocess257.0ms (2.1%)

Compiler

Compiled 338 to 228 computations (32.5% saved)

Profiling

Loading profile data...