Details

Time bar (total: 2.4s)

analyze9.0ms (0.4%)

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
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)

sample759.0ms (31.7%)

Results
745.0ms8256×body256valid
Bogosity

preprocess4.0ms (0.2%)

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)

simplify13.0ms (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
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 x (+.f64 x 1))
Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite148.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
1370×associate-/r/
1284×associate-/l*
1112×*-commutative
884×distribute-lft-in
558×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0957
121357
2327157
Stop Event
node limit
Counts
3 → 220
Calls
Call 1
Inputs
(/.f64 x (+.f64 x 1))
(/.f64 1 (-.f64 x 1))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
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simplify165.0ms (6.9%)

Algorithm
egg-herbie
Rules
1542×associate-+r+
798×*-commutative
688×distribute-lft-in
632×associate-*r*
572×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061010874
1194710384
2795210372
Stop Event
node limit
Counts
256 → 412
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))))
-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 (*.f64 (/.f64 x (fma.f64 x x -1)) x) (*.f64 (/.f64 x (fma.f64 x x -1)) -1))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x -1)) -1) (*.f64 (/.f64 x (fma.f64 x x -1)) x))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(*.f64 x (/.f64 -1 (-.f64 -1 x)))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(*.f64 (+.f64 x -1) (/.f64 x (fma.f64 x 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 -1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))))
(*.f64 (/.f64 -1 (-.f64 -1 x)) x)
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 x)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 x (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
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(/.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 x 1)) 2))) (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))) (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3)))))
(/.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)) (+.f64 x 1))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (+.f64 x -1) -3)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (-.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)) (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 3)) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x))) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 -1 (/.f64 (+.f64 x 1) x))) (*.f64 (/.f64 (+.f64 x 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 (neg.f64 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 x 1)) 2))) (neg.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(fma.f64 x (/.f64 -1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -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))) (/.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 (*.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 (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 (neg.f64 (pow.f64 x 4)) (*.f64 x (-.f64 (fma.f64 x x 1) x)))
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 1 (*.f64 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 1 (*.f64 x x)) (+.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 1 (*.f64 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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.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)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(+.f64 (neg.f64 (fma.f64 x x x)) (-.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 (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 1 (*.f64 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) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(/.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 (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 1 (*.f64 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) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
-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))))
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 (+.f64 1 (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.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 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) 1))
(+.f64 (+.f64 1 (/.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 (+.f64 1 (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.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 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) 1))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x -1)) x) (*.f64 (/.f64 x (fma.f64 x x -1)) -1))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x -1)) -1) (*.f64 (/.f64 x (fma.f64 x x -1)) x))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 (fma.f64 x x 1) x)))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 (fma.f64 x x 1) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 -1 (-.f64 -1 x)))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 1 (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) 1)
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))
(/.f64 x (+.f64 x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x))))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))
(/.f64 x (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (/.f64 -1 (-.f64 -1 x)) x)
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 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 (neg.f64 x) (/.f64 1 (-.f64 -1 x)))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 x))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 x)))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1)))) (*.f64 (fma.f64 x x -1) (-.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (*.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))))) (*.f64 (fma.f64 x x -1) (-.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x -1) (+.f64 (+.f64 x 1) (-.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -4) (pow.f64 (/.f64 x (+.f64 x 1)) 4)) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2))) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x 1)) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (*.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -6) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 6) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) -3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1)))) (fma.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) -3)) (pow.f64 (+.f64 x -1) -6))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)) (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (*.f64 x (+.f64 x -1)) (*.f64 x (+.f64 x -1))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)) (*.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 x (+.f64 x -1)) (-.f64 (*.f64 x (+.f64 x -1)) (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 (*.f64 x x) x) 3)) (*.f64 (fma.f64 x x -1) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x -1) (-.f64 -1 x)) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 3)) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 3)) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (+.f64 (+.f64 (pow.f64 (+.f64 x -1) -4) (pow.f64 (/.f64 x (+.f64 x 1)) 4)) (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x -1) -2) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 6)) (*.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (fma.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (+.f64 x -1) -4) (pow.f64 (/.f64 x (+.f64 x 1)) 4)))))
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x))) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x))) (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x 1) x))) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x 1) x))) (/.f64 (fma.f64 x x -1) x))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 -1 (/.f64 (+.f64 x 1) x))) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 1 x) (neg.f64 (/.f64 (+.f64 x 1) x))) (*.f64 (-.f64 1 x) (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 -1 x) x)) (*.f64 (-.f64 1 x) (+.f64 x 1))) x)
(/.f64 (+.f64 (-.f64 -1 x) (*.f64 (+.f64 x -1) (neg.f64 x))) (*.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 x x 1) x)) (+.f64 x -1)) (-.f64 -1 x))
(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (+.f64 x -1)))
(/.f64 (+.f64 (*.f64 -1 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 1 x))) (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (-.f64 (fma.f64 x x 1) x)) (fma.f64 x x -1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (-.f64 (fma.f64 x x 1) x)) (fma.f64 x x -1))
(pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2)
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3)
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))
(fabs.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 x (/.f64 -1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))

eval237.0ms (9.9%)

Compiler

Compiled 9874 to 7066 computations (28.4% saved)

prune64.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4093412
Fresh000
Picked011
Done000
Total4094413
Error
0b
Counts
413 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
27.5b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
27.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
35.8b
(+.f64 1 (/.f64 2 (*.f64 x x)))
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(/.f64 2 (*.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 2 (*.f64 x x))
0.0ms
x
@inf
(/.f64 2 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 2 (*.f64 x x))

rewrite53.0ms (2.2%)

Algorithm
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
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))))))))

simplify50.0ms (2.1%)

Algorithm
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
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))

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize38.0ms (1.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 18 to 13 computations (27.8% saved)

eval109.0ms (4.6%)

Compiler

Compiled 3958 to 2777 computations (29.8% saved)

prune45.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2443247
Fresh000
Picked011
Done033
Total2447251
Error
0b
Counts
251 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
27.5b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
27.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
27.5b
(+.f64 (-.f64 -1 x) x)
61.9b
(+.f64 (-.f64 -1 x) 1)
35.8b
(+.f64 1 (/.f64 2 (*.f64 x x)))
27.6b
(+.f64 -1 x)
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.0b
(+.f64 (-.f64 -1 x) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1558×add-sqr-sqrt
1542×*-un-lft-identity
1442×add-cube-cbrt
1432×add-cbrt-cube
1424×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11545
219945
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 -1 (-.f64 -1 x))) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 (-.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (+.f64 -1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 -1 x) 2)) (-.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (+.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 -1 x) (+.f64 -1 x)) (*.f64 -1 (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)) (neg.f64 (+.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) 1)))))

simplify85.0ms (3.5%)

Algorithm
egg-herbie
Rules
1066×associate--l-
876×+-commutative
752×*-commutative
620×distribute-lft-out
596×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106834
1277800
21047680
35178680
Stop Event
node limit
Counts
56 → 57
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(-.f64 -1 (+.f64 -1 x))
(-.f64 0 x)
(-.f64 (+.f64 1 (neg.f64 x)) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 -1 (-.f64 -1 x))) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))
(*.f64 -1 x)
(*.f64 x -1)
(*.f64 1 (neg.f64 x))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (neg.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))
(*.f64 (neg.f64 x) 1)
(*.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 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (/.f64 (+.f64 -1 (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (+.f64 -1 (-.f64 -1 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.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 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 -1 x) 2)) (-.f64 1 (-.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (+.f64 -1 (+.f64 -1 x)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 -1 x) (+.f64 -1 x)) (*.f64 -1 (+.f64 -1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)) (neg.f64 (+.f64 -1 (-.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x)))))
(pow.f64 (sqrt.f64 (neg.f64 x)) 2)
(pow.f64 (cbrt.f64 (neg.f64 x)) 3)
(pow.f64 (pow.f64 (neg.f64 x) 3) 1/3)
(pow.f64 (neg.f64 x) 1)
(neg.f64 x)
(sqrt.f64 (pow.f64 (neg.f64 x) 2))
(log.f64 (exp.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (neg.f64 x) 3))
(expm1.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (log.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) 1))
(log1p.f64 (expm1.f64 (neg.f64 x)))
(fma.f64 1 (-.f64 -1 x) 1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 -1 (+.f64 -1 x))
(neg.f64 x)
(-.f64 0 x)
(neg.f64 x)
(-.f64 (+.f64 1 (neg.f64 x)) 1)
(neg.f64 x)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 -1 (-.f64 -1 x))) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 x -1)
(neg.f64 x)
(*.f64 1 (neg.f64 x))
(neg.f64 x)
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (neg.f64 x)) 2))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (/.f64 1 (+.f64 -1 (-.f64 -1 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(*.f64 (neg.f64 x) 1)
(neg.f64 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 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 -1 x) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (-.f64 -1 x) 2)))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(/.f64 1 (/.f64 (+.f64 -1 (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 -1 x) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1) (+.f64 -1 (-.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 -1 x) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 -1 x) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 -1 x) 2)) (-.f64 1 (-.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (+.f64 -1 (+.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (+.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 x) (-.f64 1 x))) (+.f64 x -2))
(/.f64 (*.f64 x (-.f64 2 x)) (+.f64 x -2))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 -1 x) (+.f64 -1 x)) (*.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) 3)) (+.f64 1 (*.f64 (+.f64 -1 x) (+.f64 -2 x))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 -1 x) 3)) (fma.f64 (+.f64 -1 x) (+.f64 x -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) -1)) (neg.f64 (+.f64 -1 (-.f64 -1 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 1 (-.f64 -2 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -2 x)) (/.f64 -1 (-.f64 -2 x)))
(/.f64 (*.f64 x (-.f64 -2 x)) (+.f64 x 2))
(/.f64 x (/.f64 (+.f64 x 2) (-.f64 -2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 1 (-.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 x) 3)) (+.f64 x (+.f64 2 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 -1 x) 3)) (-.f64 (-.f64 -2 x) (pow.f64 (-.f64 -1 x) 2)))
(pow.f64 (sqrt.f64 (neg.f64 x)) 2)
(neg.f64 x)
(pow.f64 (cbrt.f64 (neg.f64 x)) 3)
(neg.f64 x)
(pow.f64 (pow.f64 (neg.f64 x) 3) 1/3)
(neg.f64 x)
(pow.f64 (neg.f64 x) 1)
(neg.f64 x)
(neg.f64 x)
(sqrt.f64 (pow.f64 (neg.f64 x) 2))
(neg.f64 x)
(log.f64 (exp.f64 (neg.f64 x)))
(neg.f64 x)
(cbrt.f64 (pow.f64 (neg.f64 x) 3))
(neg.f64 x)
(expm1.f64 (log1p.f64 (neg.f64 x)))
(neg.f64 x)
(exp.f64 (log.f64 (neg.f64 x)))
(neg.f64 x)
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) 1))
(neg.f64 x)
(log1p.f64 (expm1.f64 (neg.f64 x)))
(neg.f64 x)
(fma.f64 1 (-.f64 -1 x) 1)
(neg.f64 x)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) 1)
(neg.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) 1)
(neg.f64 x)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.2b
(+.f64 (-.f64 -1 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (2.2%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
148×add-sqr-sqrt
144×pow1
144×*-un-lft-identity
138×add-exp-log
138×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
114013
2211013
0613
Stop Event
iter limit
unsound
Counts
1 → 12
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))))))

simplify71.0ms (2.9%)

Algorithm
egg-herbie
Rules
1394×associate-+l-
1012×fma-neg
1012×+-commutative
970×*-commutative
784×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04196
112496
222690
359586
4239486
5774286
Stop Event
node limit
Counts
24 → 19
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
(*.f64 1 (+.f64 x (-.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))
(pow.f64 (+.f64 x (-.f64 -1 x)) 1)
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
-1
(*.f64 1 (+.f64 x (-.f64 -1 x)))
-1
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
-1
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
-1
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
-1
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (-.f64 x (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (+.f64 (-.f64 x -1) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (fma.f64 x -2 -1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x -2 -1) (*.f64 x x)))
(pow.f64 (+.f64 x (-.f64 -1 x)) 1)
-1
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))
-1
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))
(cbrt.f64 -1)
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))
-1
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))
-1
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))
-1

eval21.0ms (0.9%)

Compiler

Compiled 852 to 620 computations (27.2% saved)

prune11.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New74276
Fresh000
Picked101
Done156
Total76783
Error
0b
Counts
83 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
27.5b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
27.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
35.8b
(+.f64 1 (/.f64 2 (*.f64 x x)))
27.6b
(+.f64 -1 x)
61.6b
(neg.f64 x)
27.9b
-1
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize2.0ms (0.1%)

Compiler

Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
27.5b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
27.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
35.8b
(+.f64 1 (/.f64 2 (*.f64 x x)))
27.6b
(+.f64 -1 x)
61.6b
(neg.f64 x)
27.9b
-1
Compiler

Compiled 47 to 35 computations (25.5% saved)

regimes11.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
-1
(neg.f64 x)
(+.f64 -1 x)
(+.f64 (-.f64 -1 x) 1)
(+.f64 (-.f64 -1 x) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.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:

7.0ms
x
2.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes19.0ms (0.8%)

Counts
8 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(+.f64 -1 x)
(+.f64 (-.f64 -1 x) 1)
(+.f64 (-.f64 -1 x) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 2 (*.f64 x x)))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 42 to 29 computations (31% saved)

bsearch38.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
6.540666251600775e-13
24928729.025820144
18.0ms
-2.8303277725151315
-1.7983332174868145e-5
Results
31.0ms320×body256valid
Compiler

Compiled 416 to 312 computations (25% saved)

regimes17.0ms (0.7%)

Counts
7 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(+.f64 -1 x)
(+.f64 (-.f64 -1 x) 1)
(+.f64 (-.f64 -1 x) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch92.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
6.540666251600775e-13
24928729.025820144
71.0ms
-2.8303277725151315
-1.7983332174868145e-5
Results
87.0ms320×body256valid
Compiler

Compiled 376 to 292 computations (22.3% saved)

regimes60.0ms (2.5%)

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

58.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch37.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
6.540666251600775e-13
24928729.025820144
18.0ms
-2.8303277725151315
-1.7983332174868145e-5
Results
33.0ms320×body256valid
Compiler

Compiled 256 to 212 computations (17.2% saved)

regimes6.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
(neg.f64 x)
(+.f64 -1 x)
(+.f64 (-.f64 -1 x) 1)
(+.f64 (-.f64 -1 x) x)
Outputs
(+.f64 (-.f64 -1 x) x)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
27.5b1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
27.6b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.2%)

Accuracy

Total -34.4b remaining (-123.2%)

Threshold costs -34.4b (-123.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
27.9b1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034229
157229
260229
362229
463229
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -6530219459687219/4503599627370496) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (-.f64 -1 x) x)
(+.f64 -1 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)))
(if (<=.f64 x -6530219459687219/4503599627370496) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (or (<=.f64 x -6530219459687219/4503599627370496) (not (<=.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 6530219459687219/4503599627370496))) (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 x (/.f64 1 (+.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 (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x))) -1)
(+.f64 (-.f64 -1 x) x)
(+.f64 x (-.f64 -1 x))
(+.f64 -1 x)
(+.f64 x -1)
-1
Compiler

Compiled 92 to 69 computations (25% saved)

soundness0.0ms (0%)

end61.0ms (2.5%)

Compiler

Compiled 86 to 61 computations (29.1% saved)

Profiling

Loading profile data...