Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 2.3s)

analyze2.0ms (0.1%)

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
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample870.0ms (38.5%)

Results
857.0ms8254×body256valid
0.0ms2×body2048valid
0.0ms3×body256invalid
Bogosity

preprocess17.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
36×fma-def
24×sub-neg
20×+-commutative
12×div-sub
10×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01477
12573
23973
35473
46673
58573
610973
713473
813573
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize40.0ms (1.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms
x
@-inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite77.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
882×log-prod
848×prod-diff
678×prod-exp
596×fma-def
560×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
119540
2272540
Stop Event
1×node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

simplify63.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1296×fma-def
1122×associate-/r*
868×associate-*r/
812×unswap-sqr
738×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02332929
15432707
218662667
Stop Event
1×node limit
Counts
97 → 128
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 2)))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval45.0ms (2%)

Compiler

Compiled 1758 to 1366 computations (22.3% saved)

prune61.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1244128
Fresh000
Picked011
Done000
Total1245129
Accuracy
100.0%
Counts
129 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.3%
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
▶65.2%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶64.7%
(/.f64 x 2)
▶41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶41.3%
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
▶65.2%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶64.7%
(/.f64 x 2)
▶41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 84 to 66 computations (21.4% saved)

localize163.0ms (7.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
✓99.8%
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
✓99.7%
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
✓41.5%
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
✓41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 91 to 65 computations (28.6% saved)

series10.0ms (0.5%)

Counts
5 → 20
Calls

15 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
2.0ms
x
@inf
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
0.0ms
x
@inf
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))

rewrite127.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
1616×prod-diff
1058×fma-def
530×fma-neg
400×expm1-udef
396×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014111
132091
2498283
Stop Event
1×node limit
Counts
5 → 497
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
Outputs
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 x x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (sqrt.f64 x) x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (*.f64 x (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 -1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) x)
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(log.f64 (/.f64 1 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(expm1.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) -1 1)
(fma.f64 -1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 -1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(fma.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 x) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(fma.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (neg.f64 (/.f64 1 x)) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(fma.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x))) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) 1))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) 1 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))) (fma.f64 (neg.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) -1))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) -1 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) -1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (cbrt.f64 (+.f64 x 1)) 1) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (cbrt.f64 (+.f64 x 1)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (cbrt.f64 (+.f64 x 1)) -1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x)) (/.f64 (cbrt.f64 (+.f64 x 1)) -1) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) x) (/.f64 (cbrt.f64 (+.f64 x 1)) -1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) x) (/.f64 (pow.f64 (+.f64 x 1) 1/4) -1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x))) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 0 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))) 1)
(-.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) 1))
(*.f64 1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 -1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (neg.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) -1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (neg.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1)
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) 1/3)
(pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2)
(neg.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))

simplify224.0ms (9.9%)

Algorithm
1×egg-herbie
Rules
718×exp-prod
698×fma-neg
696×associate-*r*
614×cube-prod
566×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063620693
1157917293
2587717185
Stop Event
1×node limit
Counts
517 → 390
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 -1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 -1/2 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 5/128 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 x x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
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(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (neg.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) -1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (neg.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1)
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) 1/3)
(pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2)
(neg.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -1/16)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 5/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 (pow.f64 x 4) 5/128))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 4) 5/128 (*.f64 x -1/2))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (*.f64 (*.f64 x x) 1/16))
(fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/16 1/2))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(fma.f64 -1/8 x (fma.f64 -5/128 (pow.f64 x 3) (+.f64 1/2 (*.f64 (*.f64 x x) 1/16))))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -5/128 (fma.f64 (*.f64 x x) 1/16 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 0 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 -1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 x x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (neg.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (sqrt.f64 x) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 x (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
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(/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)
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(-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
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(-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
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eval167.0ms (7.4%)

Compiler

Compiled 8399 to 6243 computations (25.7% saved)

prune65.0ms (2.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3900390
Fresh000
Picked044
Done011
Total3905395
Accuracy
100.0%
Counts
395 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓41.3%
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
✓65.2%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓64.7%
(/.f64 x 2)
✓41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 80 to 62 computations (22.5% saved)

regimes12.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

6.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes9.0ms (0.4%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
65.2%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
64.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.618711727191388e-17
0.7242999699393367
Results
15.0ms160×body256valid
Compiler

Compiled 183 to 150 computations (18% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
2×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02394
13094
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
Compiler

Compiled 39 to 30 computations (23.1% saved)

soundness219.0ms (9.7%)

Rules
1296×fma-def
1122×associate-/r*
882×log-prod
868×associate-*r/
848×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
119540
2272540
02332929
15432707
218662667
Stop Event
1×node limit
1×node limit
Compiler

Compiled 227 to 177 computations (22% saved)

end0.0ms (0%)

preprocess54.0ms (2.4%)

Compiler

Compiled 90 to 68 computations (24.4% saved)

Profiling

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