Hyperbolic arcsine

Time bar (total: 8.6s)

analyze71.0ms (0.8%)

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)

sample2.6s (30.7%)

Results
1.2s2578×body1024valid
608.0ms1318×body2048valid
418.0ms1244×body512valid
395.0ms3077×body256valid
20.0ms39×body4096valid
Bogosity

preprocess330.0ms (3.9%)

Algorithm
egg-herbie
Rules
4550×fma-def
4004×associate-+r+
3172×associate-+l+
480×distribute-lft-out
366×associate-*r*
Problems
142×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
52×(sqrt.f64 (+.f64 (*.f64 x x) 1))
39×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
23×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
13569
26169
310869
418369
527469
633969
739369
842669
949969
1079869
11106869
12129369
13147569
14148569
15148769
16148769
17233369
18258869
19283669
20296969
21298469
22298469
23468269
24468269
25468269
26468269
27468269
28783869
29788769
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize98.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
74.2%
(+.f64 x (hypot.f64 1 x))
48.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite110.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff
614×unpow-prod-down
456×log1p-expm1-u
456×expm1-log1p-u
425×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
19642
2123842
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 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) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (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) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 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) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify80.0ms (0.9%)

Algorithm
egg-herbie
Rules
1956×fma-def
728×distribute-lft-in
698×distribute-rgt-in
558×sqr-pow
494×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03536627
18706249
226235541
Stop Event
node limit
Counts
143 → 219
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 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) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (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) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 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) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
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(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval79.0ms (0.9%)

Compiler

Compiled 3433 to 2650 computations (22.8% saved)

prune40.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2118219
Fresh000
Picked011
Done000
Total2119220
Accuracy
100.0%
Counts
220 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
Compiler

Compiled 250 to 196 computations (21.6% saved)

localize227.0ms (2.7%)

Compiler

Compiled 95 to 68 computations (28.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done011
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
Compiler

Compiled 134 to 104 computations (22.4% saved)

localize398.0ms (4.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
74.2%
(+.f64 x (hypot.f64 1 x))
48.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
48.8%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
99.8%
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
74.2%
(+.f64 x (hypot.f64 1 x))
73.8%
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
48.8%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
Compiler

Compiled 71 to 51 computations (28.2% saved)

series3.0ms (0%)

Counts
5 → 60
Calls

15 calls:

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

rewrite99.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1362×prod-diff
964×fma-def
857×log1p-expm1-u
857×expm1-log1p-u
256×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016119
1213119
22634119
Stop Event
node limit
Counts
5 → 252
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.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))
(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)))))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)
(+.f64 x (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 -1))
(*.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))) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3))
(*.f64 (exp.f64 1) (exp.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)) (exp.f64 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) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
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(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 1)
(fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)

simplify239.0ms (2.8%)

Algorithm
egg-herbie
Rules
1376×fma-neg
554×distribute-lft-neg-in
492×sub-neg
458×cube-prod
456×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048913867
1117113567
2431113267
Stop Event
node limit
Counts
312 → 371
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 9/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.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 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.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)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.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))
(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)))))
(hypot.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 0)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 -1)
(fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 0)
(+.f64 x (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
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(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (neg.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (exp.f64 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1 1)
(fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)
Outputs
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (+.f64 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/8)) 1))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/2 x) (*.f64 (pow.f64 x 4) -1/8)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(/.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 5/128 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/2 x))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 5/128 (pow.f64 x 7)))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x 3))
(fma.f64 x 3 1)
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 9/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3 x (*.f64 (pow.f64 x 2) 9/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 9/2 (*.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 3 x) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 3 x (fma.f64 4 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 9/2))))
(+.f64 1 (fma.f64 x 3 (fma.f64 (pow.f64 x 2) 9/2 (*.f64 (pow.f64 x 3) 4))))
(+.f64 (fma.f64 x 3 1) (fma.f64 (pow.f64 x 2) 9/2 (*.f64 (pow.f64 x 3) 4)))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 (pow.f64 x 3) 8))
(fma.f64 (pow.f64 x 3) 8 (*.f64 x 6))
(fma.f64 x 6 (*.f64 (pow.f64 x 3) 8))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 6 x (*.f64 (pow.f64 x 3) 8)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) 8 (*.f64 x 6)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x 6 (*.f64 (pow.f64 x 3) 8)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 x) (*.f64 8 (pow.f64 x 3)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 6 x (*.f64 (pow.f64 x 3) 8)) (/.f64 3/32 (pow.f64 x 5))))
(+.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 x 6)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -3/32 (pow.f64 x 5))))
(+.f64 (fma.f64 x 6 (*.f64 (pow.f64 x 3) 8)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -3/32 (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 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 -1/8 (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 3/32 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7))))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7))))
(-.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)))))
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 5)) (/.f64 7/128 (pow.f64 x 9))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7))))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (-.f64 (/.f64 7/128 (pow.f64 x 9)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7)))))
(+.f64 (/.f64 3/32 (pow.f64 x 5)) (+.f64 (/.f64 7/128 (pow.f64 x 9)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 9/128 (pow.f64 x 7)))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4)))))
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(fma.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1)
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1)
(+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval491.0ms (5.7%)

Compiler

Compiled 17786 to 14339 computations (19.4% saved)

prune123.0ms (1.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New9473950
Fresh011
Picked022
Done066
Total94712959
Accuracy
100.0%
Counts
959 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
4.3%
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
6.4%
(-.f64 (+.f64 1 x) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
22.4%
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
4.3%
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
6.4%
(-.f64 (+.f64 1 x) 1)
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
Compiler

Compiled 198 to 158 computations (20.2% saved)

localize724.0ms (8.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
74.2%
(+.f64 x (hypot.f64 1 x))
48.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
48.8%
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
100.0%
(pow.f64 x 3)
100.0%
(+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3)))
99.5%
(*.f64 -1/6 (pow.f64 x 3))
48.8%
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
48.8%
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 97 to 74 computations (23.7% saved)

series5.0ms (0.1%)

Counts
7 → 60
Calls

21 calls:

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

rewrite156.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1100×log1p-expm1-u
494×log1p-udef
492×expm1-udef
198×associate-*r*
166×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024182
1374134
25376134
Stop Event
node limit
Counts
7 → 228
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(+.f64 (+.f64 1 x) (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 (+.f64 1 x) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) -1)
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (+.f64 1 x))
(*.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 (cbrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 2)) (cbrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2))) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (*.f64 (+.f64 1 x) (fma.f64 -1/6 (pow.f64 x 3) -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 (+.f64 1 x) (fma.f64 -1/6 (pow.f64 x 3) -1)))
(pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 1 (+.f64 1 x) (fma.f64 -1/6 (pow.f64 x 3) -1))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1/6 (pow.f64 x 3) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (fma.f64 -1/6 (pow.f64 x 3) -1))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) -1)
(-.f64 (+.f64 1 (*.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 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 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 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(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 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 1))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))) (-.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (+.f64 1 x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (+.f64 1 x) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 x 6) 1/36)) 1) (+.f64 (+.f64 1 x) (*.f64 1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))))
(fma.f64 1 x (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (+.f64 1 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 x))
(fma.f64 (pow.f64 x 3) -1/6 (+.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (*.f64 x (cbrt.f64 -1/6)) (+.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (cbrt.f64 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (+.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) 1) (*.f64 (pow.f64 x 2) (+.f64 x -1)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 1 x)) (*.f64 (pow.f64 x 2) -1))
(+.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 x (pow.f64 x 2))
(*.f64 (pow.f64 x 3) 1)
(*.f64 (pow.f64 x 2) x)
(*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (pow.f64 x 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x 2)))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 3) x)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(*.f64 (*.f64 (pow.f64 x 2) 1) x)
(*.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 x 2) x)) (+.f64 x 2))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(*.f64 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(*.f64 (*.f64 1/3 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))) (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))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 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)))
(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))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))

simplify289.0ms (3.4%)

Algorithm
egg-herbie
Rules
1796×fma-neg
1056×fma-def
766×log-prod
634×associate-*r*
590×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05559860
113599414
262999406
Stop Event
node limit
Counts
288 → 370
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 3 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x))))
(*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.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 (*.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 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
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(*.f64 (*.f64 1/3 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))) (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))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 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)))
(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))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 x))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (pow.f64 x 2)))) (/.f64 5/96 (pow.f64 x 6))))
(*.f64 3 x)
(*.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 3 x))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x 3))
(fma.f64 (pow.f64 x 3) -1/2 (*.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) 9/40 (*.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -15/112 (pow.f64 x 7)) (+.f64 (*.f64 9/40 (pow.f64 x 5)) (*.f64 3 x))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -15/112 (pow.f64 x 7) (fma.f64 9/40 (pow.f64 x 5) (*.f64 x 3))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 7) -15/112 (fma.f64 (pow.f64 x 5) 9/40 (*.f64 x 3))))
(*.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 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 3/4 (pow.f64 x 2)))
(fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/4 (pow.f64 x 2)))
(-.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 (fma.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 3/4 (pow.f64 x 2))) (/.f64 9/32 (pow.f64 x 4)))
(+.f64 (/.f64 3/4 (pow.f64 x 2)) (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 (fma.f64 3 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 3/4 (pow.f64 x 2))) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (fma.f64 3 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/4 (pow.f64 x 2))) (+.f64 (/.f64 5/32 (pow.f64 x 6)) (/.f64 -9/32 (pow.f64 x 4))))
(*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 3/4 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -3/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (neg.f64 (/.f64 3/4 (pow.f64 x 2)))))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -3/4 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 9/32 (/.f64 1 (pow.f64 x 4))) (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 5/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (-.f64 (*.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6)))))
(+.f64 (/.f64 9/32 (pow.f64 x 4)) (-.f64 (fma.f64 3 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -3/4 (pow.f64 x 2))) (/.f64 5/32 (pow.f64 x 6))))
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (+.f64 x -1) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3)) 1) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (+.f64 x -1)))
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(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 1/3 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/3 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9)) (cbrt.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))))
(*.f64 1/3 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9)) (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))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (+.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) -2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.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)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 9))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))

eval278.0ms (3.2%)

Compiler

Compiled 11299 to 9365 computations (17.1% saved)

prune114.0ms (1.3%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New5809589
Fresh011
Picked123
Done088
Total58120601
Accuracy
100.0%
Counts
601 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
57.4%
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
57.2%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
22.4%
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
4.3%
(-.f64 (-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1) 1)
4.3%
(-.f64 (+.f64 (+.f64 x 1) (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)) 1)
22.5%
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
6.4%
(-.f64 (+.f64 1 x) 1)
6.4%
(+.f64 (+.f64 x -1) 1)
55.4%
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
55.4%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
57.4%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
22.4%
(*.f64 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
33.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
28.1%
(log.f64 (/.f64 -1/2 x))
18.0%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
22.5%
(log.f64 (+.f64 x (hypot.f64 1 x)))
17.1%
(log.f64 (*.f64 x 2))
11.4%
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
57.5%
x
Compiler

Compiled 389 to 306 computations (21.3% saved)

regimes59.0ms (0.7%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1) 1)
(-.f64 (+.f64 (+.f64 x 1) (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)) 1)
(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 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (fma.f64 1/3 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 1)
(log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Calls

3 calls:

30.0ms
x
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
92.4%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
92.4%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 216 to 165 computations (23.6% saved)

regimes37.0ms (0.4%)

Counts
19 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1) 1)
(-.f64 (+.f64 (+.f64 x 1) (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)) 1)
(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 (*.f64 1/3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

32.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 165 to 126 computations (23.6% saved)

regimes28.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1) 1)
(-.f64 (+.f64 (+.f64 x 1) (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 139 to 107 computations (23% saved)

regimes27.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (+.f64 x 1) (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 2)) 1) 1)
(-.f64 (+.f64 (+.f64 x 1) (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)) 1)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 133 to 103 computations (22.6% saved)

regimes27.0ms (0.3%)

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

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 83 to 61 computations (26.5% saved)

regimes22.0ms (0.3%)

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

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 73 to 53 computations (27.4% saved)

regimes19.0ms (0.2%)

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

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes14.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
73.0%2x
Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -32.8b remaining (-120.6%)

Threshold costs -32.8b (-120.6%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
Outputs
x
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
57.5%1x
Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch44.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.459151169738513e-15
0.23149798839931518
22.0ms
-0.026318016793263364
-1.9178416937391822e-13
Results
40.0ms320×body256valid
Compiler

Compiled 284 to 220 computations (22.5% saved)

bsearch44.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.459151169738513e-15
0.23149798839931518
22.0ms
-0.026318016793263364
-1.9178416937391822e-13
Results
38.0ms320×body256valid
Compiler

Compiled 244 to 180 computations (26.2% saved)

bsearch41.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.459151169738513e-15
0.23149798839931518
19.0ms
-2806.59017733105
-0.026318016793263364
Results
36.0ms304×body256valid
Compiler

Compiled 395 to 324 computations (18% saved)

bsearch37.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.23149798839931518
7.468962833410317
22.0ms
-2806.59017733105
-0.026318016793263364
Results
32.0ms256×body256valid
Compiler

Compiled 360 to 301 computations (16.4% saved)

bsearch36.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.23149798839931518
7.468962833410317
21.0ms
-2806.59017733105
-0.026318016793263364
Results
32.0ms256×body256valid
Compiler

Compiled 296 to 237 computations (19.9% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.23149798839931518
7.468962833410317
19.0ms
-2806.59017733105
-0.026318016793263364
Results
30.0ms256×body256valid
Compiler

Compiled 254 to 202 computations (20.5% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.23149798839931518
7.468962833410317
18.0ms
-2806.59017733105
-0.026318016793263364
Results
30.0ms256×body256valid
Compiler

Compiled 318 to 250 computations (21.4% saved)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.23149798839931518
7.468962833410317
Results
14.0ms112×body256valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Rules
26×+-commutative
16×*-commutative
10×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072677
193677
2101677
3109677
4110677
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1682343059522311/295147905179352825856) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5902958103587057/590295810358705651712) x (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -1682343059522311/295147905179352825856) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8669969714643489/18446744073709551616) (+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -1682343059522311/295147905179352825856) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5902958103587057/590295810358705651712) x (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -1682343059522311/295147905179352825856) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5902958103587057/590295810358705651712) x (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))
(if (<=.f64 x -1682343059522311/295147905179352825856) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 2184094498327211/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8669969714643489/18446744073709551616) (+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5674535530486825/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 208 to 156 computations (25% saved)

soundness1.3s (14.9%)

Rules
4550×fma-def
4004×associate-+r+
3172×associate-+l+
1956×fma-def
1956×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018100
13569
26169
310869
418369
527469
633969
739369
842669
949969
1079869
11106869
12129369
13147569
14148569
15148769
16148769
17233369
18258869
19283669
20296969
21298469
22298469
23468269
24468269
25468269
26468269
27468269
28783869
29788769
01042
19642
2123842
03536627
18706249
226235541
01042
19642
2123842
03536627
18706249
226235541
024182
1374134
25376134
048913867
1117113567
2431113267
024182
1374134
25376134
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 922 to 699 computations (24.2% saved)

end0.0ms (0%)

preprocess154.0ms (1.8%)

Compiler

Compiled 470 to 344 computations (26.8% saved)

Profiling

Loading profile data...