Details

Time bar (total: 1.4s)

analyze6.0ms (0.4%)

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

Compiled 13 to 10 computations (23.1% saved)

sample776.0ms (54.9%)

Results
766.0ms8256×body256valid
Bogosity

preprocess4.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
6×+-commutative
2×1-exp
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
011
Stop Event
1×saturated
1×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)

simplify13.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
2×1-exp
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
Stop Event
1×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 (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.01%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize13.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 30 to 21 computations (30% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite79.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
1370×associate-/r/
1286×associate-/l*
1104×*-commutative
884×distribute-lft-in
556×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
121331
2327131
Stop Event
1×node limit
Counts
1 → 91
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
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simplify93.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
1112×associate-+r+
950×+-commutative
832×associate-+l+
566×associate-/r/
492×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03376849
111376605
247476597
Stop Event
1×node limit
Counts
103 → 222
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) (-.f64 1 (/.f64 x (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) (-.f64 1 (/.f64 -1 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))) 1)
(-.f64 (+.f64 (/.f64 x (+.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))
(*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
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(*.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (+.f64 1 (-.f64 x (*.f64 x (+.f64 x -1))))) (fma.f64 x x -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1))) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (*.f64 -1 (-.f64 -1 x)) (*.f64 (-.f64 1 x) (neg.f64 x)))) (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1)))))) (+.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 x (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))))) (*.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 x -1) (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x (fma.f64 x x (-.f64 1 x)))))
(/.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 x (fma.f64 x x (-.f64 1 x)))) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))) (/.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))))) (/.f64 (fma.f64 x x -1) (cbrt.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))))
(/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (+.f64 1 x))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (+.f64 x -1) -3)) (*.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (-.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (+.f64 1 (-.f64 x (*.f64 x (+.f64 x -1))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (*.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (+.f64 x -1) -3)) (-.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)) (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))) (*.f64 (+.f64 1 x) (*.f64 x (+.f64 x -1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) 3)) (*.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (*.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (pow.f64 (+.f64 x -1) -2)))))
(/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 -1 (/.f64 (+.f64 1 x) x))) (*.f64 (/.f64 (+.f64 1 x) x) (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 (+.f64 x -1) (neg.f64 x))) (*.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 -1 (-.f64 -1 x)) (*.f64 (-.f64 1 x) (neg.f64 x))) (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (+.f64 x (fma.f64 x x (-.f64 1 x)))) (neg.f64 (fma.f64 x x -1)))
(pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(fma.f64 1 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 -1 (-.f64 1 x))) (/.f64 x (+.f64 1 x)))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 1 (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) (/.f64 2 (pow.f64 x 6)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 1 (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))) (/.f64 2 (pow.f64 x 6)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 1)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) (-.f64 1 (/.f64 x (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) (-.f64 1 (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) (-.f64 1 (/.f64 -1 (-.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))))
(-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))))
(-.f64 (+.f64 (/.f64 x (+.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) (-.f64 1 (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 x (+.f64 x 1)) (expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))))
(*.f64 1 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1))
(*.f64 (/.f64 1 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
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(/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 -1 x) -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 -1 x) -2)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (+.f64 x (fma.f64 x x (-.f64 1 x)))) (neg.f64 (fma.f64 x x -1)))
(*.f64 1 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1)))
(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))
(pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 3)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 3) 1/3)
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) 2))
(fabs.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))))
(log.f64 (exp.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 3))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 1 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 -1 x) -1/2) (pow.f64 (+.f64 -1 x) -1/2) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 -1 (-.f64 1 x))) (/.f64 x (+.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (cbrt.f64 (/.f64 -1 (-.f64 1 x))) (/.f64 x (+.f64 x 1)))

eval111.0ms (7.8%)

Compiler

Compiled 6321 to 4511 computations (28.6% saved)

prune29.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2193222
Fresh000
Picked011
Done000
Total2194223
Error
0%
Counts
223 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶50.28%
(+.f64 1 (/.f64 2 (*.f64 x x)))
50.1%
1
49.33%
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.88%
(/.f64 2 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2 (*.f64 x x))
0.0ms
x
@inf
(/.f64 2 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 2 (*.f64 x x))

rewrite49.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1198×add-sqr-sqrt
1176×*-un-lft-identity
1120×pow1
1100×add-cube-cbrt
1092×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2156313
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))))))

simplify48.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1406×distribute-rgt-in
1398×associate-/r*
1372×distribute-lft-in
992×associate-+r+
956×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057485
1134485
2448485
32605485
Stop Event
1×node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(*.f64 2 (pow.f64 x -2))
(*.f64 (/.f64 2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 2 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 2)
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))
Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 1 (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))

eval5.0ms (0.3%)

Compiler

Compiled 234 to 177 computations (24.4% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New24024
Fresh022
Picked011
Done011
Total24428
Error
0%
Counts
28 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓50.28%
(+.f64 1 (/.f64 2 (*.f64 x x)))
50.1%
1
49.33%
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Error
0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓50.28%
(+.f64 1 (/.f64 2 (*.f64 x x)))
50.1%
1
49.33%
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Error
0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.01%
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓50.28%
(+.f64 1 (/.f64 2 (*.f64 x x)))
50.1%
1
49.33%
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes7.0ms (0.5%)

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

4.0ms
x
2.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
ErrorSegmentsBranch
0.01%1x
0.01%1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes10.0ms (0.7%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.59%3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.00023020677455406737
6692.0140635292555
13.0ms
-866.923365666564
-0.6226153910231556
Results
26.0ms272×body256valid
Compiler

Compiled 220 to 182 computations (17.3% saved)

regimes9.0ms (0.6%)

Accuracy

Total -62.4b remaining (-9782.2%)

Threshold costs -62.4b (-9782.2%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1%3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch29.0ms (2.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.00023020677455406737
6692.0140635292555
14.0ms
-866.923365666564
-0.6226153910231556
Results
26.0ms272×body256valid
Compiler

Compiled 118 to 114 computations (3.4% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
4×if-if-or-not
2×sub-neg
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02398
13798
23898
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 2 (*.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 -1) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x))) -1)
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 44 to 35 computations (20.5% saved)

soundness0.0ms (0%)

end81.0ms (5.7%)

Compiler

Compiled 41 to 32 computations (22% saved)

Profiling

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