Asymptote B

Details

Time bar (total: 3.9s)

analyze2.0ms (0.1%)

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

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (31.9%)

Results
1.2s8256×body256valid
Bogosity

preprocess13.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify18.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
100.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize70.0ms (1.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 31 to 22 computations (29% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite121.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1898×pow1
1764×add-exp-log
1764×log1p-expm1-u
1764×expm1-log1p-u
184×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
117926
2248626
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 x (+.f64 x 1))
(/.f64 1 (-.f64 x 1))
Outputs
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))

simplify73.0ms (1.9%)

Algorithm
egg-herbie
Rules
1020×fma-neg
856×fma-def
788×unswap-sqr
512×times-frac
432×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01802208
14591860
213451576
349821576
Stop Event
node limit
Counts
82 → 131
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(*.f64 x (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 x -1)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 (-.f64 -1 x) (*.f64 x (fma.f64 x x x)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 1 (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (+.f64 x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1)))))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (-.f64 (fma.f64 x x 1) x))
(/.f64 x (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(pow.f64 (/.f64 x (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 x (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 x (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
(+.f64 (/.f64 x (+.f64 x 1)) 0)
(/.f64 x (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (cbrt.f64 (-.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (cbrt.f64 (-.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 (fma.f64 x x x) 1) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(pow.f64 (+.f64 x -1) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x -1))

eval79.0ms (2%)

Compiler

Compiled 2150 to 1547 computations (28% saved)

prune19.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1265131
Fresh000
Picked011
Done000
Total1266132
Accurracy
100.0%
Counts
132 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
48.7%
(+.f64 (/.f64 1 (-.f64 x 1)) x)
52.6%
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
53.0%
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
48.7%
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
48.5%
(+.f64 -1 (/.f64 x (+.f64 x 1)))
Compiler

Compiled 100 to 75 computations (25% saved)

localize82.0ms (2.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
892×log-prod
848×fma-def
806×prod-exp
674×pow-prod-down
456×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
118725
2292425
Stop Event
node limit
Counts
1 → 84
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) x) (*.f64 x (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 x (neg.f64 x))) (*.f64 x (fma.f64 -1 x -1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1 x) x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (pow.f64 (neg.f64 x) 2)) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))
(/.f64 (+.f64 x (*.f64 (/.f64 (+.f64 1 x) x) 1)) (*.f64 (/.f64 (+.f64 1 x) x) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 (+.f64 1 x) x) -1)) (*.f64 (/.f64 (+.f64 1 x) x) (neg.f64 x)))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 x -2)) (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) x) (+.f64 1 x))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 x (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(fma.f64 1 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
(fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 x (+.f64 1 x)) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 x (+.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 x))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 x))

simplify93.0ms (2.4%)

Algorithm
egg-herbie
Rules
1462×fma-neg
964×fma-def
944×times-frac
590×associate-/r*
466×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523586
16193432
216113232
362593232
Stop Event
node limit
Counts
96 → 128
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) x)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) x) (*.f64 x (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 x (neg.f64 x))) (*.f64 x (fma.f64 -1 x -1)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1 x) x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (pow.f64 (neg.f64 x) 2)) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))
(/.f64 (+.f64 x (*.f64 (/.f64 (+.f64 1 x) x) 1)) (*.f64 (/.f64 (+.f64 1 x) x) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 (+.f64 1 x) x) -1)) (*.f64 (/.f64 (+.f64 1 x) x) (neg.f64 x)))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 x -2)) (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) x) (+.f64 1 x))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 x (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(fma.f64 1 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
(fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 x (+.f64 1 x)) 1 (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 x (+.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 x))
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 x))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 x))
Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(-.f64 x (/.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x)))
(+.f64 x (fma.f64 x (neg.f64 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 x (*.f64 x x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (+.f64 (/.f64 1 x) (+.f64 x (pow.f64 x 3))))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x (neg.f64 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (*.f64 x (-.f64 (fma.f64 x x 1) x)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 (pow.f64 x -2) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 (pow.f64 x -2) x))))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 (pow.f64 x -2) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 (pow.f64 x -2) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(/.f64 1 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x x x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 1 (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) x) (*.f64 x (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (/.f64 (*.f64 x (+.f64 1 x)) x))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (/.f64 (fma.f64 x x x) x))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (+.f64 1 x))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 x (neg.f64 x))) (*.f64 x (fma.f64 -1 x -1)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1 x) x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (+.f64 1 x) x)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1 x) x) (neg.f64 x)) (*.f64 (/.f64 (+.f64 1 x) x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 -1 x -1) x) x) (neg.f64 (fma.f64 x x x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 -1 x) x) x) (-.f64 -1 x))
(/.f64 (+.f64 (fma.f64 -1 x -1) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 -1 (fma.f64 -1 x -1) (pow.f64 (neg.f64 x) 2)) (*.f64 (neg.f64 x) (fma.f64 -1 x -1)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 x (*.f64 (/.f64 (+.f64 1 x) x) 1)) (*.f64 (/.f64 (+.f64 1 x) x) x))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (/.f64 (*.f64 x (+.f64 1 x)) x))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (/.f64 (fma.f64 x x x) x))
(/.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) (+.f64 1 x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 (+.f64 1 x) x) -1)) (*.f64 (/.f64 (+.f64 1 x) x) (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1 x) x) (neg.f64 x)) (*.f64 (/.f64 (+.f64 1 x) x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 -1 x -1) x) x) (neg.f64 (fma.f64 x x x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 -1 x) x) x) (-.f64 -1 x))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 -1 x -1) 1)) (*.f64 (fma.f64 -1 x -1) x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 -1 x -1) -1)) (*.f64 (fma.f64 -1 x -1) (neg.f64 x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (fma.f64 x x x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 x -2)) (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(/.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) x) (+.f64 1 x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 3)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2) 1/2)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3) 1/3)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 2)
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(pow.f64 (/.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x x))) -1)
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x x x))
(+.f64 1 (/.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) -1)
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 (pow.f64 x -2) (/.f64 1 (-.f64 -1 x)))))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) -1)
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 (/.f64 1 x) (/.f64 x (-.f64 -1 x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 2))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (exp.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) 3))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))) 1) 1))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 3))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 1/3))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))))) 2))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 1 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 x (+.f64 1 x)) 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 x (+.f64 1 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 x))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 x))

localize74.0ms (1.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 x (+.f64 x 1))
52.4%
(+.f64 -1 (/.f64 x (+.f64 x 1)))
Compiler

Compiled 20 to 14 computations (30% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite88.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1934×pow1
1798×add-exp-log
1798×log1p-expm1-u
1798×expm1-log1p-u
180×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117719
2238519
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x (+.f64 x 1)))
Outputs
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 x (+.f64 x 1))) (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 (neg.f64 x) (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1) (-.f64 (/.f64 x (+.f64 x 1)) -1))
(pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)

simplify67.0ms (1.7%)

Algorithm
egg-herbie
Rules
1410×fma-neg
1032×div-sub
730×associate-*r*
654×associate-*l*
514×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061573
12591407
27911373
350191373
Stop Event
node limit
Counts
45 → 65
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 x (+.f64 x 1))) (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 (neg.f64 x) (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1) (-.f64 (/.f64 x (+.f64 x 1)) -1))
(pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)
Outputs
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3)))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 4)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 1) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x (+.f64 x 1))) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 1) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x (+.f64 x 1))) 1))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 x (+.f64 x 1))) (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 1) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x (+.f64 x 1))) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 (neg.f64 x) (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 1) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x (+.f64 x 1))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 1) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x (+.f64 x 1))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 -1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1) (-.f64 (/.f64 x (+.f64 x 1)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 3)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3) 1/3)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 x (/.f64 1 (+.f64 x 1)) -1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) -1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)
(+.f64 (+.f64 0 (/.f64 x (+.f64 x 1))) -1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))

localize38.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 x 1))
56.2%
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite95.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1610×pow1
1500×add-exp-log
1500×log1p-expm1-u
1500×expm1-log1p-u
1476×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115819
2216119
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
Outputs
(-.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)

simplify62.0ms (1.6%)

Algorithm
egg-herbie
Rules
1374×fma-neg
878×cancel-sign-sub-inv
658×fma-def
586×associate-*r*
542×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021264
12501210
27461070
335001056
Stop Event
node limit
Counts
42 → 66
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x)))
(-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 (neg.f64 x) (*.f64 x (fma.f64 x x x)))
(*.f64 x (-.f64 -1 (fma.f64 x x x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (*.f64 -1 (+.f64 x (pow.f64 x 4)))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 4)) (pow.f64 x 3))
(-.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(*.f64 (fma.f64 x x x) (-.f64 -1 (*.f64 x x)))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 1 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 1 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 1)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 (pow.f64 (+.f64 -1 x) -2))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (-.f64 (-.f64 -1 (/.f64 -1 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 (pow.f64 (+.f64 -1 x) -2))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (-.f64 (-.f64 -1 (/.f64 -1 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -2)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 (pow.f64 (+.f64 -1 x) -2))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (-.f64 (-.f64 -1 (/.f64 -1 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 (pow.f64 (+.f64 -1 x) -2))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (-.f64 (-.f64 -1 (/.f64 -1 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) 1) (/.f64 1 (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 (pow.f64 (+.f64 -1 x) -2))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) -3)) (-.f64 (-.f64 -1 (/.f64 -1 (+.f64 -1 x))) (pow.f64 (+.f64 -1 x) -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (cbrt.f64 (+.f64 -1 x))))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)
(+.f64 (+.f64 2 (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 -1 (+.f64 2 (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 1 (/.f64 -1 (+.f64 -1 x)))

localize31.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 19 to 14 computations (26.3% saved)

localize33.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 25 to 17 computations (32% saved)

eval589.0ms (15%)

Compiler

Compiled 8155 to 5788 computations (29% saved)

prune109.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5895594
Fresh000
Picked101
Done235
Total5928600
Accurracy
100.0%
Counts
600 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
48.7%
(+.f64 (/.f64 1 (-.f64 x 1)) x)
53.0%
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
3.3%
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
52.0%
(+.f64 1 (/.f64 1 (*.f64 x x)))
3.6%
(neg.f64 x)
52.3%
1
47.8%
-1
Compiler

Compiled 55 to 42 computations (23.6% saved)

localize16.0ms (0.4%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize30.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.2%
(/.f64 1 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1006×pow1
968×add-sqr-sqrt
930×add-exp-log
928×log1p-expm1-u
928×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11207
214107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))

simplify47.0ms (1.2%)

Algorithm
egg-herbie
Rules
1366×log-prod
1128×associate-/l*
848×fma-def
792×unswap-sqr
758×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053446
1120266
2430254
32950254
Stop Event
node limit
Counts
32 → 26
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize44.0ms (1.1%)

Compiler

Compiled 25 to 19 computations (24% saved)

eval10.0ms (0.3%)

Compiler

Compiled 232 to 192 computations (17.2% saved)

prune10.0ms (0.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New26026
Fresh022
Picked011
Done055
Total26834
Accurracy
100.0%
Counts
34 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
48.7%
(+.f64 (/.f64 1 (-.f64 x 1)) x)
53.0%
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
3.3%
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
52.0%
(+.f64 1 (/.f64 1 (*.f64 x x)))
3.6%
(neg.f64 x)
52.3%
1
47.8%
-1
Compiler

Compiled 55 to 42 computations (23.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done066
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
48.7%
(+.f64 (/.f64 1 (-.f64 x 1)) x)
53.0%
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
3.3%
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
52.0%
(+.f64 1 (/.f64 1 (*.f64 x x)))
3.6%
(neg.f64 x)
52.3%
1
47.8%
-1
Compiler

Compiled 126 to 94 computations (25.4% saved)

regimes14.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Calls

2 calls:

9.0ms
x
2.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 85 to 62 computations (27.1% saved)

regimes20.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes24.0ms (0.6%)

Counts
9 → 3
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes18.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1 x)))
Outputs
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 1 (/.f64 1 (*.f64 x x)))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 44 to 33 computations (25% saved)

regimes16.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
Outputs
(+.f64 1 (/.f64 1 (*.f64 x x)))
-1
(+.f64 1 (/.f64 1 (*.f64 x x)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 28 to 21 computations (25% saved)

regimes26.0ms (0.7%)

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

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (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:

6.0ms
x
Results
AccuracySegmentsBranch
47.8%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch33.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.029749844363811832
65.08036031809416
16.0ms
-1.6990451437885676
-9.48778607171832e-8
Results
28.0ms272×body256valid
Compiler

Compiled 374 to 276 computations (26.2% saved)

bsearch27.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.029749844363811832
65.08036031809416
12.0ms
-371.5056192500687
-1.6990451437885676
Results
22.0ms240×body256valid
Compiler

Compiled 316 to 237 computations (25% saved)

bsearch33.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.029749844363811832
65.08036031809416
18.0ms
-1.6990451437885676
-9.48778607171832e-8
Results
30.0ms272×body256valid
Compiler

Compiled 322 to 250 computations (22.4% saved)

bsearch30.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.029749844363811832
65.08036031809416
17.0ms
-1.6990451437885676
-9.48778607171832e-8
Results
27.0ms272×body256valid
Compiler

Compiled 220 to 182 computations (17.3% saved)

bsearch34.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.029749844363811832
65.08036031809416
18.0ms
-1.6990451437885676
-9.48778607171832e-8
Results
31.0ms272×body256valid
Compiler

Compiled 118 to 114 computations (3.4% saved)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
20×+-commutative
sub-neg
if-if-or-not
neg-mul-1
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038317
162317
268317
375317
476317
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 8106479329266893/4503599627370496) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (or (<=.f64 x -8106479329266893/4503599627370496) (not (<=.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 8106479329266893/4503599627370496) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 8106479329266893/4503599627370496))) (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 x (/.f64 1 (-.f64 x 1))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 1 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (/.f64 1 (*.f64 x x))) -1)
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 128 to 96 computations (25% saved)

soundness227.0ms (5.8%)

Rules
1462×fma-neg
1020×fma-neg
964×fma-def
944×times-frac
856×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523586
16193432
216113232
362593232
01802208
14591860
213451576
349821576
Stop Event
node limit
node limit
Compiler

Compiled 79 to 56 computations (29.1% saved)

end84.0ms (2.2%)

Compiler

Compiled 268 to 192 computations (28.4% saved)

Profiling

Loading profile data...