Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 2.3s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (52.1%)

Results
1.2s8256×body256valid
Bogosity

preprocess152.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
1378×fma-def
560×div-sub
420×fma-neg
388×times-frac
312×associate-/r*
FPErrors
Click to see full error table
truthopredexupredexsubexpr
2560-0-#f
00-0-x
00-0-(+.f64 x 1)
00-0-(/.f64 (+.f64 x 1) (-.f64 1 x))
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015112
132100
256100
3113100
4246100
5815100
62351100
73115100
83361100
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x))))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (neg.f64 x)))
(/.f64 (+.f64 x -1) (+.f64 x 1))
(/.f64 (-.f64 1 x) (-.f64 -1 x))
Compiler

Compiled 42 to 30 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
▶100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 16 to 12 computations (25% saved)

localize28.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite221.0ms (9.7%)

Algorithm
1×batch-egg-rewrite
Rules
870×unpow-prod-down
619×log1p-expm1-u
619×expm1-log1p-u
558×log-prod
482×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
111725
2165625
Stop Event
1×node limit
Counts
1 → 76
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) 1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

simplify65.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1120×fma-def
834×associate-*r/
802×associate-/l*
726×distribute-rgt-in
718×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02693484
17103249
223153193
Stop Event
1×node limit
Counts
88 → 136
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) 1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
Outputs
1
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(fma.f64 2 (fma.f64 x (+.f64 1 x) (pow.f64 x 3)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(/.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 4) (-.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) 1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(/.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 4) (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) -2)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x x -1))) (/.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval47.0ms (2.1%)

Compiler

Compiled 2101 to 1673 computations (20.4% saved)

prune43.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1315136
Fresh000
Picked011
Done000
Total1316137
Accuracy
100.0%
Counts
137 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
▶55.8%
(+.f64 1 (*.f64 2 x))
▶46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
▶54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
▶55.8%
(+.f64 1 (*.f64 2 x))
▶46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
Compiler

Compiled 66 to 54 computations (18.2% saved)

localize65.0ms (2.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 43 to 31 computations (27.9% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
520×unpow-prod-down
370×log1p-expm1-u
369×expm1-log1p-u
356×fma-def
354×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819
18519
2103418
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 x))
Outputs
(+.f64 x (pow.f64 x 2))
(+.f64 0 (fma.f64 x x x))
(+.f64 (pow.f64 x 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 4)) (-.f64 x (pow.f64 x 2)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) x) (-.f64 1 x))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)

simplify53.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1050×associate-/l*
928×associate-/r*
828×fma-neg
750×distribute-lft-in
702×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131329
12611278
25631275
323021200
Stop Event
1×node limit
Counts
54 → 53
Calls
Call 1
Inputs
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(+.f64 x (pow.f64 x 2))
(+.f64 0 (fma.f64 x x x))
(+.f64 (pow.f64 x 2) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 4)) (-.f64 x (pow.f64 x 2)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) x) (-.f64 1 x))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)
Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(pow.f64 x 2)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(pow.f64 x 2)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 0 (fma.f64 x x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (pow.f64 x 2) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 4)) (-.f64 x (pow.f64 x 2)))
(/.f64 (fma.f64 x x x) 1)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(/.f64 x (/.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 4)) (-.f64 x (pow.f64 x 2)))
(/.f64 (fma.f64 x x x) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 1) 1))
(/.f64 x (/.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x (+.f64 x -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) x) (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 4)) (-.f64 x (pow.f64 x 2)))
(/.f64 (fma.f64 x x x) 1)
(pow.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4) 1/2)
(fma.f64 x x x)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6) 1/3)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(fma.f64 x x x)
(pow.f64 (E.f64) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 4))
(fma.f64 x x x)
(log.f64 (exp.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 6)) 1/3))
(fma.f64 x x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x x x)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 1 (pow.f64 x 2) x)
(fma.f64 x x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) x)
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (pow.f64 x 2))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 x x x)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)
(fma.f64 x x x)

eval14.0ms (0.6%)

Compiler

Compiled 639 to 392 computations (38.7% saved)

prune11.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New53053
Fresh022
Picked033
Done011
Total53659
Accuracy
100.0%
Counts
59 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓55.8%
(+.f64 1 (*.f64 2 x))
✓46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
✓54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓55.8%
(+.f64 1 (*.f64 2 x))
✓46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
Compiler

Compiled 66 to 54 computations (18.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓55.8%
(+.f64 1 (*.f64 2 x))
✓46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
✓54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓55.8%
(+.f64 1 (*.f64 2 x))
✓46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
Compiler

Compiled 66 to 54 computations (18.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune12.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.7%
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
✓100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
✓55.8%
(+.f64 1 (*.f64 2 x))
✓46.1%
(+.f64 -1 (/.f64 -2 x))
54.5%
1
44.8%
-1
Compiler

Compiled 61 to 49 computations (19.7% saved)

regimes10.0ms (0.4%)

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

2 calls:

6.0ms
x
2.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes14.0ms (0.6%)

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

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes13.0ms (0.6%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
-1
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.2%)

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
44.8%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch33.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.3601279597061255e-14
51945.45513153082
15.0ms
-29.313221434570217
-4.2332120621939026e-7
Results
30.0ms304×body256valid
Compiler

Compiled 278 to 237 computations (14.7% saved)

bsearch39.0ms (1.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
4.3601279597061255e-14
51945.45513153082
14.0ms
-29.313221434570217
-4.2332120621939026e-7
Results
35.0ms304×body256valid
Compiler

Compiled 202 to 180 computations (10.9% saved)

bsearch33.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.3601279597061255e-14
51945.45513153082
15.0ms
-29.313221434570217
-4.2332120621939026e-7
Results
30.0ms304×body256valid
Compiler

Compiled 126 to 123 computations (2.4% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
6×if-if-or-not
4×sub-neg
4×*-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029164
149164
252164
354164
455164
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Compiler

Compiled 58 to 47 computations (19% saved)

soundness89.0ms (3.9%)

Rules
1120×fma-def
834×associate-*r/
802×associate-/l*
726×distribute-rgt-in
718×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02693484
17103249
223153193
Stop Event
1×node limit
Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess53.0ms (2.3%)

Compiler

Compiled 124 to 98 computations (21% saved)

Profiling

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