Hyperbolic arcsine

Time bar (total: 5.9s)

analyze63.0ms (1.1%)

Algorithm
1×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)

sample2.3s (38.2%)

Results
998.0ms2564×body1024valid
465.0ms1203×body2048valid
397.0ms3092×body256valid
364.0ms1340×body512valid
29.0ms57×body4096valid
Bogosity

preprocess354.0ms (6%)

Algorithm
1×egg-herbie
Rules
1544×fma-def
1032×associate-+r-
798×associate-+r+
774×associate-+l-
662×associate--r-
Problems
135×(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
62×(sqrt.f64 (+.f64 (*.f64 x x) 1))
31×No Errors
28×(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 45 to 25 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune6.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize93.0ms (1.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓76.3%
(+.f64 x (hypot.f64 1 x))
✓51.7%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

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))

rewrite151.0ms (2.5%)

Algorithm
1×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
1×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)

simplify98.0ms (1.6%)

Algorithm
1×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
1×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))
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(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (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 (1.3%)

Compiler

Compiled 3433 to 2650 computations (22.8% saved)

prune43.0ms (0.7%)

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
52.8%
(+.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)))))
▶52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶25.8%
(log.f64 (/.f64 -1/2 x))
▶23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶22.1%
(log.f64 (*.f64 x 2))
54.8%
x
52.8%
(+.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)))))
▶52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶25.8%
(log.f64 (/.f64 -1/2 x))
▶23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶22.1%
(log.f64 (*.f64 x 2))
54.8%
x
Compiler

Compiled 286 to 224 computations (21.7% saved)

localize196.0ms (3.3%)

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
▶52.8%
(+.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)))))
✓52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓25.8%
(log.f64 (/.f64 -1/2 x))
✓23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓22.1%
(log.f64 (*.f64 x 2))
54.8%
x
▶52.8%
(+.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)))))
✓52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
▶27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓25.8%
(log.f64 (/.f64 -1/2 x))
✓23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓22.1%
(log.f64 (*.f64 x 2))
54.8%
x
Compiler

Compiled 152 to 118 computations (22.4% saved)

localize570.0ms (9.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 -5/112 (pow.f64 x 7))
✓99.7%
(*.f64 -1/6 (pow.f64 x 3))
✓99.6%
(*.f64 3/40 (pow.f64 x 5))
✓68.3%
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
✓100.0%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓99.9%
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
76.3%
(+.f64 x (hypot.f64 1 x))
✓51.7%
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 113 to 87 computations (23% saved)

series9.0ms (0.1%)

Counts
7 → 15
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
1.0ms
x
@inf
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))

rewrite112.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1126×fma-def
867×log1p-expm1-u
867×expm1-log1p-u
476×expm1-udef
476×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026164
1309154
23865154
Stop Event
1×node limit
Counts
7 → 163
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -5/112 (pow.f64 x 7))
Outputs
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (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))))
(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 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 14) 25/12544) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(*.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)
(*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(/.f64 1 (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 10) 9/1600 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 14) 25/12544)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7))))
(pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))

simplify86.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1170×unswap-sqr
972×distribute-lft-in
500×cancel-sign-sub-inv
472×times-frac
442×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03956290
18426164
228366098
Stop Event
1×node limit
Counts
178 → 225
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
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 3/40 (pow.f64 x 5))
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (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))))
(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 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 14) 25/12544) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(*.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)
(*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600)) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))))
(/.f64 1 (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (fma.f64 (pow.f64 x 10) 9/1600 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 14) 25/12544 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (*.f64 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 14) 25/12544) (*.f64 (pow.f64 x 10) 9/1600))) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 -3/40 (pow.f64 x 5)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 14) 25/12544)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7))))
(pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 3)
(pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2))
(log.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x)))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -1/12 (pow.f64 x 3)) (+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 3/80 (pow.f64 x 5)) (*.f64 1/2 x))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/16 (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x 1))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 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 (pow.f64 x 5) 3/40)))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (*.f64 (pow.f64 x 5) 3/40))
(+.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 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40)))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 (pow.f64 x 5) 3/40)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(*.f64 -5/112 (pow.f64 x 7))
(*.f64 (pow.f64 x 7) -5/112)
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
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(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) 1))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(log1p.f64 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) -5/112)) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) -5/112)) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 5) 3/40)) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 -5/112 (cbrt.f64 (pow.f64 x 7))) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 -5/112 (cbrt.f64 (pow.f64 x 7))) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 (pow.f64 x 5) 3/40 (*.f64 (pow.f64 x 7) -5/112))
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 (pow.f64 x 5) 3/40))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 (pow.f64 x 5) 3/40)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 (pow.f64 x 5) 3/40)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 (pow.f64 x 5) 3/40)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) 2)
(*.f64 (pow.f64 x 5) 3/40)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 (pow.f64 x 5) 3/40)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 (pow.f64 x 5) 3/40)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (pow.f64 x 5) 3/40)
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(*.f64 (pow.f64 x 5) 3/40)
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(*.f64 (pow.f64 x 5) 3/40)
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 (pow.f64 x 5) 3/40)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 (pow.f64 x 3) -1/6)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 (pow.f64 x 3) -1/6)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) -1/6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) -1/6)
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 (pow.f64 x 3) -1/6)
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(*.f64 (pow.f64 x 3) -1/6)
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(*.f64 (pow.f64 x 3) -1/6)
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) -1/6)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(*.f64 (pow.f64 x 7) -5/112)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(*.f64 (pow.f64 x 7) -5/112)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(*.f64 (pow.f64 x 7) -5/112)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928))
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 -5/112)) 2)
(*.f64 (pow.f64 x 7) -5/112)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(*.f64 (pow.f64 x 7) -5/112)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(*.f64 (pow.f64 x 7) -5/112)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) -125/1404928))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7/2) 6) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 (pow.f64 x 7) -5/112)
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(*.f64 (pow.f64 x 7) -5/112)
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(*.f64 (pow.f64 x 7) -5/112)
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 (pow.f64 x 7) -5/112)

eval227.0ms (3.8%)

Compiler

Compiled 6427 to 5157 computations (19.8% saved)

prune52.0ms (0.9%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3450345
Fresh011
Picked022
Done066
Total3459354
Accuracy
100.0%
Counts
354 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(+.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)))))
✓52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓25.8%
(log.f64 (/.f64 -1/2 x))
✓23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓22.1%
(log.f64 (*.f64 x 2))
54.8%
x
✓52.8%
(+.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)))))
✓52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓25.8%
(log.f64 (/.f64 -1/2 x))
✓23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓22.1%
(log.f64 (*.f64 x 2))
54.8%
x
Compiler

Compiled 152 to 118 computations (22.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done088
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(+.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)))))
✓52.9%
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
✓27.4%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓31.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓25.8%
(log.f64 (/.f64 -1/2 x))
✓23.2%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓27.4%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓22.1%
(log.f64 (*.f64 x 2))
54.8%
x
Compiler

Compiled 153 to 116 computations (24.2% saved)

regimes45.0ms (0.8%)

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

3 calls:

25.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
90.5%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
90.5%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 98 to 71 computations (27.6% saved)

regimes20.0ms (0.3%)

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

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes16.0ms (0.3%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.7%3x
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes14.0ms (0.2%)

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

13.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.0%2x
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
54.8%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.007950661555250923
3.2009579270960735
21.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
33.0ms288×body256valid
Compiler

Compiled 546 to 434 computations (20.5% saved)

bsearch37.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.6243506523994864e-6
0.006898237015237986
20.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
32.0ms288×body256valid
Compiler

Compiled 330 to 254 computations (23% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.6243506523994864e-6
0.006898237015237986
20.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
33.0ms288×body256valid
Compiler

Compiled 300 to 234 computations (22% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.007950661555250923
3.2009579270960735
21.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
32.0ms288×body256valid
Compiler

Compiled 332 to 266 computations (19.9% saved)

bsearch94.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
75.0ms
0.007950661555250923
3.2009579270960735
19.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
91.0ms288×body256valid
Compiler

Compiled 284 to 226 computations (20.4% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.007950661555250923
3.2009579270960735
19.0ms
-217.20291757844973
-2.3711220706460537e-12
Results
33.0ms288×body256valid
Compiler

Compiled 176 to 136 computations (22.7% saved)

bsearch62.0ms (1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
62.0ms
0.007950661555250923
3.2009579270960735
Results
60.0ms128×body256valid
Compiler

Compiled 86 to 66 computations (23.3% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
14×*-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071591
189591
294591
397591
498591
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3458764513820541/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/144115188075855872) (+.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))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4242751136953197/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Outputs
(if (<=.f64 x -3458764513820541/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3602879701896397/144115188075855872) (+.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))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4242751136953197/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 6456360425798343/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (*.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x
Compiler

Compiled 180 to 133 computations (26.1% saved)

soundness894.0ms (15.1%)

Rules
1956×fma-def
1956×fma-def
1544×fma-def
1032×associate-+r-
924×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019140
13896
26696
311496
419396
528796
636996
745696
854196
986096
10184096
11364696
12430296
13446296
14450696
15452196
16452196
17455296
18455296
19714496
20734596
21790596
01042
19642
2123842
03536627
18706249
226235541
03536627
18706249
226235541
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 512 to 365 computations (28.7% saved)

end0.0ms (0%)

preprocess130.0ms (2.2%)

Compiler

Compiled 416 to 300 computations (27.9% saved)

Profiling

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