Hyperbolic arcsine

Time bar (total: 9.9s)

analyze71.0ms (0.7%)

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)

sample2.5s (25.4%)

Results
1.2s2545×body1024valid
508.0ms1273×body2048valid
443.0ms1294×body512valid
369.0ms3103×body256valid
21.0ms41×body4096valid
Bogosity

preprocess252.0ms (2.5%)

Algorithm
egg-herbie
Rules
4550×fma-def
3750×associate-+r+
3054×associate-+l+
1272×distribute-lft-in
480×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01650
13334
25934
310634
418134
527034
633534
738934
842234
949134
1071934
1198534
12121034
13139234
14140234
15140434
16140434
17219634
18245134
19269934
20283234
21284734
22284734
23454534
24454534
25454534
26454534
27454534
28762534
29767434
30785634
31794834
32795934
Stop Event
node limit
Calls
Call 1
Inputs
(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 (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 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
hypot-1-def
fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x 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)))

eval1.0ms (0%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Accurracy
31.8%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.7%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
21.7%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize228.0ms (2.3%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
75.9%
(+.f64 x (hypot.f64 1 x))
56.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
79.6%
(sqrt.f64 (+.f64 (*.f64 x x) 1))
75.9%
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
56.5%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 51 to 28 computations (45.1% saved)

series5.0ms (0%)

Counts
5 → 60
Calls

15 calls:

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

rewrite121.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
874×log-prod
832×fma-def
754×prod-exp
606×pow-prod-down
490×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01367
128367
2287067
Stop Event
node limit
Counts
5 → 268
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x 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 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 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 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (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))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 4) 1/4)
(pow.f64 (pow.f64 (hypot.f64 1 x) 6) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x 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 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 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 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (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))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))

simplify120.0ms (1.2%)

Algorithm
egg-herbie
Rules
668×associate-+l+
632×associate-+r+
568×sqr-pow
484×times-frac
480×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04329708
110479478
231818876
Stop Event
node limit
Counts
328 → 282
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.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 (*.f64 1/2 (pow.f64 x 2)) x))
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1
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x
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(*.f64 -1 x)
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x
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1
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(/.f64 -1/2 x)
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(+.f64 0 (hypot.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 4) 1/4)
(pow.f64 (pow.f64 (hypot.f64 1 x) 6) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x 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 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 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 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (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))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.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)))))
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1
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(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
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(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
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(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
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(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
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(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x 1/2))))
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(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16)))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
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(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
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(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
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(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
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(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
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(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
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(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 (/.f64 -1 x))))
1
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(+.f64 x 1)
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(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
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(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
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(log.f64 (+.f64 x (hypot.f64 1 x)))
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(-.f64 (log.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
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(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
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(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
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(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))) -1)
(/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) (hypot.f64 1 x))

eval138.0ms (1.4%)

Compiler

Compiled 4102 to 3001 computations (26.8% saved)

prune53.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New27012282
Fresh000
Picked112
Done000
Total27113284
Accurracy
100.0%
Counts
284 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
31.8%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
7.3%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
31.3%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
31.8%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
7.3%
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
Compiler

Compiled 454 to 328 computations (27.8% saved)

localize416.0ms (4.2%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
100.0%
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
100.0%
(+.f64 x (hypot.f64 1 x))
77.6%
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
77.6%
(log.f64 (-.f64 (hypot.f64 1 x) x))
77.5%
(-.f64 (hypot.f64 1 x) x)
100.0%
(+.f64 x (+.f64 x (/.f64 1/2 x)))
100.0%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 110 to 74 computations (32.7% saved)

series10.0ms (0.1%)

Counts
8 → 60
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
1.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))

rewrite125.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
874×fma-neg
756×expm1-udef
752×log1p-udef
450×add-sqr-sqrt
430×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021140
1457130
25978130
Stop Event
node limit
Counts
8 → 260
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (+.f64 x (/.f64 1/2 x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (*.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (*.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (/.f64 1/2 x))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.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 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (hypot.f64 1 x) 1 (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.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)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(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))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.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 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))

simplify158.0ms (1.6%)

Algorithm
egg-herbie
Rules
1338×fma-neg
1088×log-prod
864×fma-def
520×associate-*r*
470×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06848284
117077178
264287172
Stop Event
node limit
Counts
320 → 437
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.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 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.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 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.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 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.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 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.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 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (/.f64 1/2 x)))))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.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 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.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 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 x 3) 1/6) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (pow.f64 x 5) -3/40)))
(fma.f64 (pow.f64 x 3) 1/6 (-.f64 (*.f64 (pow.f64 x 5) -3/40) x))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (pow.f64 x 5) -3/40))))
(fma.f64 (pow.f64 x 7) 5/112 (fma.f64 (pow.f64 x 3) 1/6 (-.f64 (*.f64 (pow.f64 x 5) -3/40) x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 2))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2))) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) -1/12))
(fma.f64 (pow.f64 x 3) -1/12 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/80)))
(fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/12 (*.f64 (pow.f64 x 5) 3/80)))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 3/80))))
(fma.f64 (pow.f64 x 7) -5/224 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/12 (*.f64 (pow.f64 x 5) 3/80))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 7) -5/112 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) -1/6)
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 (pow.f64 x 3) -1/6)
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 (pow.f64 x 3) -1/6)
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) -1/6)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
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(/.f64 (-.f64 (-.f64 (*.f64 x x) 1) (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.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 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x x) 1) (*.f64 x x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.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 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (-.f64 (*.f64 x x) 1) (*.f64 x x))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)) (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval156.0ms (1.6%)

Compiler

Compiled 6657 to 4906 computations (26.3% saved)

prune98.0ms (1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4352437
Fresh167
Picked145
Done011
Total43713450
Accurracy
100.0%
Counts
450 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
8.3%
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
31.3%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
8.3%
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
Compiler

Compiled 398 to 284 computations (28.6% saved)

localize608.0ms (6.1%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
78.8%
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
75.9%
(+.f64 x (hypot.f64 1 x))
75.4%
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
100.0%
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
100.0%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
100.0%
(-.f64 (/.f64 -1/2 x) x)
75.9%
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
100.0%
(log.f64 (/.f64 -1/2 x))
99.8%
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
99.6%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
78.9%
(log.f64 (+.f64 x (hypot.f64 1 x)))
75.9%
(+.f64 x (hypot.f64 1 x))
Compiler

Compiled 180 to 109 computations (39.4% saved)

series62.0ms (0.6%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
18.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
8.0ms
x
@0
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
6.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))
0.0ms
x
@0
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))

rewrite95.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
618×add-sqr-sqrt
594×pow1
594×*-un-lft-identity
582×add-exp-log
574×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028257
1630181
Stop Event
node limit
Counts
11 → 289
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
(-.f64 (/.f64 -1/2 x) x)
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.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 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
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(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) 1))
(+.f64 (*.f64 x -2) (/.f64 -1/2 x))
(+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)) (/.f64 -1/2 x)))
(+.f64 (fma.f64 x -2 (neg.f64 (*.f64 (/.f64 -1/2 x) 1))) (fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 -1/2 x) 1)))
(+.f64 (fma.f64 x -2 (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 x -2 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 x -2) (neg.f64 (*.f64 (/.f64 -1/2 x) 1))) (fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 -1/2 x) 1)))
(+.f64 (fma.f64 1 (*.f64 x -2) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 1 (*.f64 x -2) (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 (/.f64 -1/2 x) 1))) (fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 -1/2 x) 1)))
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (/.f64 -1/2 x) 1))) (fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 -1/2 x) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (/.f64 -1/2 x) 1))) (fma.f64 (/.f64 -1/2 x) 1 (*.f64 (/.f64 -1/2 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (/.f64 1 x) 1/2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2))))
(+.f64 (*.f64 (*.f64 x -2) 1) (*.f64 (/.f64 -1/2 x) 1))
(*.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x -2) (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (/.f64 -1/2 x))) (-.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (/.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x -2) (/.f64 -1/2 x))) (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2)))
(/.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x -2) (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2)) (neg.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x -2) (/.f64 -1/2 x)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(fma.f64 x -2 (/.f64 -1/2 x))
(fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
1
(+.f64 0 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (*.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (*.f64 -1/3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 0 (*.f64 (neg.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (*.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(neg.f64 (log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(sqrt.f64 (pow.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))
(-.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) 1) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))

simplify189.0ms (1.9%)

Algorithm
egg-herbie
Rules
1296×log-prod
958×fma-def
610×associate-*r*
560×associate-*l*
456×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074511667
1189810289
273469579
Stop Event
node limit
Counts
421 → 477
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.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)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 9/40 (pow.f64 x 5))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (*.f64 9/40 (pow.f64 x 5)))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
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(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
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(cbrt.f64 (pow.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x)))))
(-.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) 1) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 -1/2 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 3 x) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 3 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 (pow.f64 x 3) -1/2 (*.f64 x 3))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 9/40 (pow.f64 x 5))))
(fma.f64 3 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 9/40)))
(fma.f64 x 3 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (pow.f64 x 5) 9/40)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (*.f64 9/40 (pow.f64 x 5)))))
(fma.f64 3 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -15/112 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 9/40))))
(fma.f64 x 3 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 7) -15/112 (*.f64 (pow.f64 x 5) 9/40))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 3/4 (*.f64 x x)))
(fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3/4 (*.f64 x x)) (-.f64 (*.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (/.f64 3/4 (*.f64 x x)) (fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -9/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 5/32 (pow.f64 x 6)) (+.f64 (/.f64 3/4 (*.f64 x x)) (-.f64 (*.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 9/32 (pow.f64 x 4)))))
(+.f64 (fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/4 (*.f64 x x))) (-.f64 (/.f64 5/32 (pow.f64 x 6)) (/.f64 9/32 (pow.f64 x 4))))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(*.f64 3 (log.f64 (/.f64 -1/2 x)))
(-.f64 (*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (neg.f64 (/.f64 3/4 (*.f64 x x))))
(fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -3/4 (*.f64 x x)))
(fma.f64 3 (log.f64 (/.f64 -1/2 x)) (/.f64 -3/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 9/32 (pow.f64 x 4))) (/.f64 3/4 (*.f64 x x)))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -3/4 (*.f64 x x))))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 3 (log.f64 (/.f64 -1/2 x)) (/.f64 -3/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 9/32 (pow.f64 x 4))) (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 5/32 (pow.f64 x 6))))
(fma.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 9/32 (pow.f64 x 4)) (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 5/32 (pow.f64 x 6)))))
(+.f64 (-.f64 (fma.f64 3 (log.f64 (/.f64 -1/2 x)) (/.f64 9/32 (pow.f64 x 4))) (/.f64 5/32 (pow.f64 x 6))) (/.f64 -3/4 (*.f64 x x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 -1/2 x))
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
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(-.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (fma.f64 x x 1) (+.f64 x (hypot.f64 1 x))) (*.f64 (/.f64 x (+.f64 x (hypot.f64 1 x))) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) 1)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) -1)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) 1) -1)
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))

eval600.0ms (6.1%)

Compiler

Compiled 15141 to 10937 computations (27.8% saved)

prune605.0ms (6.1%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New7974801
Fresh123
Picked055
Done055
Total79816814
Accurracy
100.0%
Counts
814 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
50.8%
(*.f64 1/3 (*.f64 x 3))
74.2%
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
18.6%
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
8.3%
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
1.7%
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
50.8%
(*.f64 1/3 (*.f64 x 3))
74.2%
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
18.6%
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
8.3%
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
1.7%
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
Compiler

Compiled 400 to 300 computations (25% saved)

localize697.0ms (7%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (hypot.f64 1 x) x)
78.8%
(log.f64 (-.f64 (hypot.f64 1 x) x))
75.4%
(-.f64 (fma.f64 x x 1) (*.f64 x x))
99.8%
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
99.6%
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
75.9%
(+.f64 x (hypot.f64 1 x))
63.5%
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
100.0%
(-.f64 (/.f64 -1/2 x) 1)
75.4%
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
99.7%
(*.f64 1/3 (*.f64 x 3))
99.6%
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
87.6%
(-.f64 (hypot.f64 1 x) 1)
75.4%
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
75.4%
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
Compiler

Compiled 172 to 117 computations (32% saved)

series30.0ms (0.3%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms
x
@0
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
2.0ms
x
@0
(-.f64 (hypot.f64 1 x) 1)
1.0ms
x
@0
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))

rewrite143.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
846×expm1-udef
580×add-sqr-sqrt
564×pow1
556×*-un-lft-identity
546×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027207
1600171
27862171
Stop Event
node limit
Counts
11 → 308
Calls
Call 1
Inputs
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(-.f64 (hypot.f64 1 x) 1)
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
(*.f64 1/3 (*.f64 x 3))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(-.f64 (/.f64 -1/2 x) 1)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(-.f64 (fma.f64 x x 1) (*.f64 x x))
Outputs
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))
(pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 1 (+.f64 x (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3))
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 1/3 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (*.f64 3 (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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 x x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (fma.f64 x x 1) (+.f64 1 (hypot.f64 1 x))))
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(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(fma.f64 1 (fma.f64 x x 1) (*.f64 x (neg.f64 x)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 x (neg.f64 x)))

simplify171.0ms (1.7%)

Algorithm
egg-herbie
Rules
1448×log-prod
1022×fma-def
1014×associate-*r*
888×associate-*l*
484×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072712250
1179911040
2791211040
Stop Event
node limit
Counts
440 → 520
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.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)))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(/.f64 -1/2 x)
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 9/40 (pow.f64 x 5))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (*.f64 9/40 (pow.f64 x 5)))))
(+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 8) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x)))))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (log.f64 1/8)) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/8) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/8) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (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 (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (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 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))
(-.f64 (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 1 (*.f64 9/2 (pow.f64 x 2)))))
(*.f64 8 (pow.f64 x 3))
(+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 6 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (pow.f64 x 3)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 5))))
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 9/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 7/128 (/.f64 1 (pow.f64 x 9))) (*.f64 3/32 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 9/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
1
1
1
1
1
1
1
1
1
1
1
1
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(*.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))
(pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 1 (+.f64 x (hypot.f64 1 x)) -1)
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(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(+.f64 (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (*.f64 x x) (fma.f64 x x 1))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(+.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x)))
(+.f64 (fma.f64 x x 1) (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x)))
(+.f64 (*.f64 x x) (+.f64 1 (*.f64 x (neg.f64 x))))
(+.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(+.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))
(+.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))
(+.f64 (*.f64 x (neg.f64 x)) (fma.f64 x x 1))
(*.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(fma.f64 1 (fma.f64 x x 1) (*.f64 x (neg.f64 x)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 x (neg.f64 x)))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (*.f64 -1/8 (pow.f64 x 4)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (-.f64 -1 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
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x
x
x
x
x
x
x
x
x
x
x
x
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x
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(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
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(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
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1
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(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
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(-.f64 (/.f64 3/32 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7))))
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1
1
1
1
1
1
1
1
1
1
1
1
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(*.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 1)
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(*.f64 (cbrt.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
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(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x x 1)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 x x 1))) (pow.f64 (fma.f64 x x 1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (+.f64 (fma.f64 x x 1) (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x 1) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x x 1)) (pow.f64 x 4)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 x x 1))) (pow.f64 (fma.f64 x x 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (*.f64 x x) (fma.f64 x x 1))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (*.f64 (*.f64 x x) (fma.f64 x x 1)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 6)) (fma.f64 x (*.f64 x (fma.f64 x x (fma.f64 x x 1))) (pow.f64 (fma.f64 x x 1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 (fma.f64 x x 1) (*.f64 x (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (pow.f64 x 4)) (fma.f64 x x (fma.f64 x x 1)))
(pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 1)
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 3)
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3) 1/3)
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 2)
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 2))
(fabs.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)))))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) 3))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) 1))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(fma.f64 1 (fma.f64 x x 1) (*.f64 x (neg.f64 x)))
(-.f64 (fma.f64 x x 1) (*.f64 x x))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (*.f64 x (neg.f64 x)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) (cbrt.f64 (fma.f64 x x 1)) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (*.f64 x x)))

eval356.0ms (3.6%)

Compiler

Compiled 14581 to 10729 computations (26.4% saved)

prune127.0ms (1.3%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New7611762
Fresh011
Picked145
Done1910
Total76315778
Accurracy
100.0%
Counts
778 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
48.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
50.8%
(*.f64 1/3 (*.f64 x 3))
64.9%
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) -1))))))
74.2%
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
31.7%
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
33.4%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
27.0%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
1.7%
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
26.1%
(log.f64 (/.f64 -1/2 x))
31.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.7%
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
26.2%
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
24.8%
(log.f64 (*.f64 x 2))
51.1%
x
Compiler

Compiled 324 to 232 computations (28.4% saved)

regimes45.0ms (0.5%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(*.f64 1/3 (*.f64 x 3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) -1))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))
Calls

3 calls:

20.0ms
x
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
98.8%2x
89.8%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
89.8%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 211 to 145 computations (31.3% saved)

regimes24.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 1/3 (*.f64 x 3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 87 to 62 computations (28.7% saved)

regimes20.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 1/3 (*.f64 x 3))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes18.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 55 to 39 computations (29.1% saved)

regimes20.0ms (0.2%)

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

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes15.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes14.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
73.8%2x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes5.0ms (0%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.1%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
-28.481289037034543
-0.763014480080074
Results
3.0ms32×body256valid
Compiler

Compiled 60 to 48 computations (20% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
7.221095732495059e-10
0.04299857346106247
18.0ms
-0.02586509546574433
-2.46942055355515e-6
Results
36.0ms272×body256valid
Compiler

Compiled 311 to 239 computations (23.2% saved)

bsearch48.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
7.221095732495059e-10
0.04299857346106247
26.0ms
-28.481289037034543
-0.763014480080074
Results
44.0ms256×body256valid
Compiler

Compiled 307 to 239 computations (22.1% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.3603609620304066
29.349007170331003
16.0ms
-28.481289037034543
-0.763014480080074
Results
26.0ms224×body256valid
Compiler

Compiled 287 to 220 computations (23.3% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.3603609620304066
29.349007170331003
23.0ms
-28.481289037034543
-0.763014480080074
Results
37.0ms224×body256valid
Compiler

Compiled 252 to 192 computations (23.8% saved)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.3603609620304066
29.349007170331003
13.0ms
-28.481289037034543
-0.763014480080074
Results
27.0ms224×body256valid
Compiler

Compiled 224 to 178 computations (20.5% saved)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.3603609620304066
29.349007170331003
15.0ms
-28.481289037034543
-0.763014480080074
Results
28.0ms224×body256valid
Compiler

Compiled 140 to 108 computations (22.9% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
0.3603609620304066
29.349007170331003
Results
23.0ms112×body256valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify30.0ms (0.3%)

Algorithm
egg-herbie
Rules
32×neg-mul-1
30×unsub-neg
30×+-commutative
26×*-commutative
18×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066501
189501
2104501
3117501
4142501
5179501
6180501
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))))
(if (<=.f64 x -662929865148937/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -4) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))))
(if (<=.f64 x -4) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 1/3 (*.f64 3 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))
(if (<=.f64 x -662929865148937/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -662929865148937/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 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 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2))))
(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 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 199 to 146 computations (26.6% saved)

soundness1.1s (11.1%)

Rules
1338×fma-neg
1296×log-prod
1088×log-prod
958×fma-def
874×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
128367
2287067
04329708
110479478
231818876
01023
11617
21717
04329708
110479478
231818876
04329708
110479478
231818876
06848284
117077178
264287172
01367
128367
2287067
028257
1630181
074511667
1189810289
273469579
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
saturated
node limit
node limit
Compiler

Compiled 664 to 448 computations (32.5% saved)

end0.0ms (0%)

preprocess206.0ms (2.1%)

Compiler

Compiled 452 to 324 computations (28.3% saved)

Profiling

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