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

Details

Time bar (total: 3.0s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
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)

sample737.0ms (24.8%)

Results
727.0ms8255×body256valid
0.0msbody2048valid
0.0msbody256invalid
Bogosity

preprocess15.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize35.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

series6.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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
@-inf
(+.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)))

rewrite97.0ms (3.2%)

Algorithm
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
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)

simplify59.0ms (2%)

Algorithm
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
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)))

eval38.0ms (1.3%)

Compiler

Compiled 1758 to 1366 computations (22.3% saved)

prune51.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1235128
Fresh000
Picked011
Done000
Total1236129
Accurracy
100.0%
Counts
129 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.5%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.5%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 178 to 138 computations (22.5% saved)

localize301.0ms (10.1%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
99.8%
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
99.7%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Compiler

Compiled 104 to 72 computations (30.8% saved)

series10.0ms (0.3%)

Counts
7 → 60
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
2.0ms
x
@inf
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms
x
@-inf
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
1.0ms
x
@-inf
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
1.0ms
x
@-inf
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

rewrite133.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1798×prod-diff
488×add-sqr-sqrt
474×pow1
472×*-un-lft-identity
456×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022175
1493113
27024113
Stop Event
node limit
Counts
7 → 379
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (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 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 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))))))
(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 1 x))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 (*.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x))
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(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 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 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)) -1/2)
(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 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 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))))))
(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 1 x))) 3)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (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 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 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 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)) -1/2)
(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 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 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))))))
(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 1 x))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)

simplify170.0ms (5.7%)

Algorithm
egg-herbie
Rules
570×associate-*r*
508×times-frac
506×log-prod
474×associate-/r*
470×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055614463
1145813267
2599412091
Stop Event
node limit
Counts
439 → 350
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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(*.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 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (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 1/2 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 1/2 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 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))) 1)
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 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
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(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 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 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)) -1/2)
(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 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 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))))))
(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 1 x))) 3)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (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 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) -1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 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 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)) -1/2)
(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 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 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))))))
(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 1 x))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 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 (*.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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 x (+.f64 1/2 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/8 x (+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (/.f64 2 x))))
(+.f64 (fma.f64 (*.f64 x x) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 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 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 4) -1/128))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/32 (fma.f64 (pow.f64 x 4) -1/128 (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(*.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 (*.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))))
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(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (cbrt.f64 (*.f64 x 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)))) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (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 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.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 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 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 (cbrt.f64 (*.f64 x x)) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 x (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)) -1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) -2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 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)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

eval177.0ms (5.9%)

Compiler

Compiled 7963 to 6168 computations (22.5% saved)

prune58.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4042406
Fresh000
Picked235
Done011
Total4066412
Accurracy
100.0%
Counts
412 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
4.7%
2
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
4.7%
2
Compiler

Compiled 72 to 58 computations (19.4% saved)

localize28.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
Compiler

Compiled 15 to 9 computations (40% saved)

eval15.0ms (0.5%)

Compiler

Compiled 747 to 628 computations (15.9% saved)

prune8.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New27128
Fresh011
Picked011
Done044
Total27734
Accurracy
100.0%
Counts
34 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
31.3%
(+.f64 -1 (sqrt.f64 x))
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
4.7%
2
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
31.3%
(+.f64 -1 (sqrt.f64 x))
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
4.7%
2
Compiler

Compiled 82 to 66 computations (19.5% saved)

localize18.0ms (0.6%)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
69.3%
(/.f64 x 2)
36.7%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
31.3%
(+.f64 -1 (sqrt.f64 x))
97.5%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
4.7%
2
Compiler

Compiled 95 to 73 computations (23.2% saved)

regimes49.0ms (1.7%)

Counts
9 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

42.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes10.0ms (0.3%)

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

9.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 24 to 18 computations (25% saved)

regimes9.0ms (0.3%)

Counts
4 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.1%2x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
2
(/.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
69.8%1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
69.3%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
4.7%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch15.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.7330767701885053e-7
2.5520919909778617e-5
Results
13.0ms112×body256valid
Compiler

Compiled 132 to 108 computations (18.2% saved)

bsearch32.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
0.00036108446968522443
97.4442116004665
Results
13.0ms144×body256valid
Compiler

Compiled 148 to 118 computations (20.3% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028134
136134
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 6788401819125115/590295810358705651712) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 x)))
(if (<=.f64 x 4) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 57 to 44 computations (22.8% saved)

soundness775.0ms (26.1%)

Rules
1798×prod-diff
1296×fma-def
1122×associate-/r*
882×log-prod
882×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
119540
2272540
022175
1493113
27024113
055614463
1145813267
2599412091
055614463
1145813267
2599412091
0940
119540
2272540
02332929
15432707
218662667
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 750 to 622 computations (17.1% saved)

end95.0ms (3.2%)

Compiler

Compiled 122 to 92 computations (24.6% saved)

Profiling

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