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

Time bar (total: 3.8s)

analyze1.0ms (0%)

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)

sample755.0ms (19.8%)

Results
739.0ms8254×body256valid
0.0ms2×body2048valid
0.0ms4×body256invalid
Bogosity

preprocess18.0ms (0.5%)

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
01454
12550
23950
35450
46650
58550
610950
713450
813550
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 (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 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
Stop Event
1×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
99.7%
Counts
2 → 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)

localize44.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓100.0%
(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 (0.1%)

Counts
3 → 12
Calls

9 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
(sqrt.f64 (+.f64 x 1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite83.0ms (2.2%)

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
0951
119551
2272551
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 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 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -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)

simplify71.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1736×fma-def
892×unswap-sqr
876×distribute-lft-in
852×distribute-rgt-in
426×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03163885
17153601
223643515
Stop Event
1×node limit
Counts
145 → 193
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)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.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 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -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 -1/8 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)))
(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 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.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) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
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 (neg.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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.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 (pow.f64 (cbrt.f64 x) 2) (/.f64 (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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(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)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(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)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval67.0ms (1.8%)

Compiler

Compiled 2612 to 2035 computations (22.1% saved)

prune38.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1858193
Fresh000
Picked011
Done000
Total1859194
Accurracy
100.0%
Counts
194 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.4%
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
▶97.2%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶62.9%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶62.2%
(/.f64 x 2)
44.6%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶60.4%
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
▶97.2%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶62.9%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶62.2%
(/.f64 x 2)
44.6%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
Compiler

Compiled 298 to 226 computations (24.2% saved)

localize128.0ms (3.3%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
✓99.7%
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
✓97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
✓99.7%
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
✓100.0%
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓100.0%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
100.0%
(sqrt.f64 (+.f64 x 1))
✓99.8%
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓99.8%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
Compiler

Compiled 113 to 77 computations (31.9% saved)

series11.0ms (0.3%)

Counts
8 → 80
Calls

24 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
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
1.0ms
x
@inf
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))

rewrite124.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
768×log1p-udef
766×expm1-udef
532×add-sqr-sqrt
516×pow1
516×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024170
1529136
27469136
Stop Event
1×node limit
Counts
8 → 314
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(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 (sqrt.f64 (+.f64 1 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 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.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 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (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)))))
(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 (/.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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))) 1)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 1)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.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) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 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)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 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))))
(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 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (-.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)
(*.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))
(*.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2)
(pow.f64 (/.f64 (+.f64 (*.f64 x 1/2) 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(*.f64 1 (+.f64 (*.f64 x 1/2) 2))
(*.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)
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(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 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 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (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 (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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.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)))))

simplify216.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
780×associate-*r*
714×exp-prod
674×fma-def
674×associate-*l*
510×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064511756
1167511058
268479874
Stop Event
1×node limit
Counts
394 → 412
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)))))
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 1/2 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)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 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 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.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 1/2 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 1/2 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))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x)))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)) (sqrt.f64 x))) (*.f64 1/16 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 x))))) (pow.f64 x 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))))
(/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 3) x))) (+.f64 (*.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2) x))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)))))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 3) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 3))))) (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2))) (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1) 2) x))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1))))))
(*.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)
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(-.f64 (sqrt.f64 (+.f64 1 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 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.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 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (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)))))
(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 (/.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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
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(*.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 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.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 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.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 (pow.f64 (+.f64 1 x) 3/2) 1) (+.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (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)))))
(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 (/.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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.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)))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.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 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.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 (pow.f64 (cbrt.f64 x) 2) 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 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 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)
(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 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (*.f64 (cbrt.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 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 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 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) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 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 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 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 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (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 (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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.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)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.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))))
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.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)))))
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))) (*.f64 x (fma.f64 x -1/8 1/2)))
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 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.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)))
(+.f64 (*.f64 (pow.f64 x 3) 1/32) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 -1/8 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (*.f64 x x))
(*.f64 x (*.f64 x -1/8))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (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 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 x (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 (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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (*.f64 x (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))))
(*.f64 x (*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2))))
(*.f64 (*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 x))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.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 -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 (+.f64 2 x) (sqrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(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 (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 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(fabs.f64 (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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) 3)))
(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)))

eval253.0ms (6.6%)

Compiler

Compiled 9890 to 7667 computations (22.5% saved)

prune112.0ms (2.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5274531
Fresh123
Picked325
Done011
Total5319540
Accurracy
100.0%
Counts
540 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
▶62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓62.2%
(/.f64 x 2)
▶44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
▶60.4%
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
5.2%
2
▶44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
▶62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓62.2%
(/.f64 x 2)
▶44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
▶60.4%
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
5.2%
2
Compiler

Compiled 220 to 170 computations (22.7% saved)

localize224.0ms (5.9%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
✓99.7%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
✓99.7%
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
✓44.6%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓100.0%
(sqrt.f64 (+.f64 1 x))
✓44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
✓99.7%
(*.f64 -1/8 (*.f64 x x))
✓100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
Compiler

Compiled 105 to 70 computations (33.3% saved)

series5.0ms (0.1%)

Counts
7 → 44
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
1.0ms
x
@-inf
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
0.0ms
x
@inf
(*.f64 -1/8 (*.f64 x x))
0.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
0.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)

rewrite125.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1344×fma-def
678×fma-neg
654×expm1-udef
652×log1p-udef
444×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022113
1506101
26232101
Stop Event
1×node limit
Counts
7 → 358
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 -1/8 (*.f64 x x))
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 (*.f64 x x) 1/4 4) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/8)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/8))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/8)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/8))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/8))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/8))))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 x x) (*.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.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 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
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(*.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 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 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 x (cbrt.f64 (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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 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 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (/.f64 x (neg.f64 x)) (neg.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 (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 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.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))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (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 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1)

simplify211.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
754×div-sub
524×log-prod
482×fma-neg
432×associate-*r*
410×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049212324
1116810140
2463110026
Stop Event
1×node limit
Counts
402 → 332
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 1/32 (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 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.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)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.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)))))
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 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 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (fma.f64 (*.f64 x x) 1/4 4) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/4 -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/8)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/8))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/8) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/8)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/8)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/8))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/8))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/8))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/8))))
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(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 x (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (/.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.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 (+.f64 x 1)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.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 (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 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.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))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (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 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(-.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 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 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 x (cbrt.f64 (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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 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 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 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 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.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 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (-.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (/.f64 x (neg.f64 x)) (neg.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 (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 (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.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))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 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 (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 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -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 1/32 (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 x (*.f64 x -1/8) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/8) (fma.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)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (*.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.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 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (-.f64 (/.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 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.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 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
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(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.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 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) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (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 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 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.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 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (/.f64 x (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))))))
(/.f64 x (/.f64 x (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))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.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)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(expm1.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (/.f64 x (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))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) 1 -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) -1)
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (*.f64 (pow.f64 (+.f64 x 1) 1/4) 1) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) -1)

eval183.0ms (4.8%)

Compiler

Compiled 6763 to 5037 computations (25.5% saved)

prune92.0ms (2.4%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New4591460
Fresh011
Picked055
Done033
Total45910469
Accurracy
100.0%
Counts
469 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
✓62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓62.2%
(/.f64 x 2)
✓44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
✓60.4%
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
▶38.4%
(+.f64 -1 (sqrt.f64 x))
✓99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
5.2%
2
✓44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
✓62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓62.2%
(/.f64 x 2)
✓44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
✓60.4%
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
▶38.4%
(+.f64 -1 (sqrt.f64 x))
✓99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
5.2%
2
Compiler

Compiled 146 to 114 computations (21.9% saved)

localize18.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 1
Calls

3 calls:

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

rewrite52.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1396×pow1
1290×add-exp-log
1290×log1p-expm1-u
1290×expm1-log1p-u
1264×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2175511
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 -1 (sqrt.f64 x))
Outputs
(-.f64 (+.f64 1 (+.f64 -1 (sqrt.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 x))) (/.f64 x (-.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(*.f64 1 (+.f64 -1 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) (sqrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 x 1/4) 1) (-.f64 (pow.f64 x 1/4) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 -1 (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (neg.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 -1 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) -1))
(pow.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 x) -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) -1)

simplify48.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
550×div-sub
536×associate-*r*
528×times-frac
524×fma-neg
504×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080688
1186544
2595544
33250544
Stop Event
1×node limit
Counts
32 → 35
Calls
Call 1
Inputs
-1
(-.f64 (+.f64 1 (+.f64 -1 (sqrt.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 x))) (/.f64 x (-.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(*.f64 1 (+.f64 -1 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) (sqrt.f64 (+.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 -1 (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 x 1/4) 1) (-.f64 (pow.f64 x 1/4) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 -1 (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (neg.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 -1 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) -1))
(pow.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 x) -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) -1)
Outputs
-1
(-.f64 (+.f64 1 (+.f64 -1 (sqrt.f64 x))) 1)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 x))) (/.f64 x (-.f64 -1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(*.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(*.f64 1 (+.f64 -1 (sqrt.f64 x)))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) (sqrt.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (-.f64 -1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 x 1/4) 1) (-.f64 (pow.f64 x 1/4) 1))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 -1 (pow.f64 x 3/2))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (-.f64 1 (neg.f64 (sqrt.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 -1 (sqrt.f64 x))))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(/.f64 (-.f64 x 1) (-.f64 (sqrt.f64 x) -1))
(/.f64 (-.f64 1 x) (-.f64 -1 (sqrt.f64 x)))
(pow.f64 (+.f64 -1 (sqrt.f64 x)) 1)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 x))) 3)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 x))) 2)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 2))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 x)) 3))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 -1 (sqrt.f64 x))))
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) -1)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) -1)
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) -1)
(+.f64 (+.f64 0 (sqrt.f64 x)) -1)
(+.f64 -1 (sqrt.f64 x))

eval6.0ms (0.2%)

Compiler

Compiled 304 to 207 computations (31.9% saved)

prune11.0ms (0.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New34135
Fresh011
Picked011
Done088
Total341145
Accurracy
100.0%
Counts
45 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.6%
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
✓62.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓62.2%
(/.f64 x 2)
✓44.6%
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
✓60.4%
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
✓38.4%
(+.f64 -1 (sqrt.f64 x))
✓99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓97.2%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
5.2%
2
2.9%
-1
Compiler

Compiled 172 to 129 computations (25% saved)

regimes27.0ms (0.7%)

Counts
15 → 1
Calls
Call 1
Inputs
-1
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

10.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
9.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 108 to 78 computations (27.8% saved)

regimes14.0ms (0.4%)

Counts
9 → 2
Calls
Call 1
Inputs
-1
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) 1)
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes15.0ms (0.4%)

Counts
7 → 2
Calls
Call 1
Inputs
-1
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 x 1/2) (*.f64 -1/8 (*.f64 x x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
97.8%2x
Compiler

Compiled 37 to 27 computations (27% saved)

regimes6.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
62.9%1x
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
62.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.2%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
2.9%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch34.0ms (0.9%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.498948787931994e-15
0.004687726171843012
Results
31.0ms160×body256valid
Compiler

Compiled 183 to 150 computations (18% saved)

bsearch11.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.1320156153898706
15.82242944919494
Results
9.0ms96×body256valid
Compiler

Compiled 103 to 82 computations (20.4% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028135
136135
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 1770887431076117/147573952589676412928) (/.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
-1
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 1770887431076117/147573952589676412928) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 1770887431076117/147573952589676412928) (/.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
-1
Compiler

Compiled 59 to 46 computations (22% saved)

soundness726.0ms (19%)

Rules
1736×fma-def
892×unswap-sqr
882×log-prod
882×log-prod
876×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119551
2272551
024170
1529136
27469136
064511756
1167511058
268479874
064511756
1167511058
268479874
0951
119551
2272551
03163885
17153601
223643515
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 864 to 707 computations (18.2% saved)

end0.0ms (0%)

preprocess55.0ms (1.4%)

Compiler

Compiled 124 to 94 computations (24.2% saved)

Profiling

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