Details

Time bar (total: 2.5s)

analyze6.0ms (0.2%)

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)

sample1.5s (57.2%)

Results
1.4s8256×body256valid
Bogosity

preprocess4.0ms (0.2%)

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)

simplify60.0ms (2.4%)

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%)

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)

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 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)))
0.0ms
x
@inf
(/.f64 x (+.f64 x 1))
0.0ms
x
@0
(/.f64 x (+.f64 x 1))

rewrite91.0ms (3.6%)

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
0944
121344
2327144
Stop Event
1×node limit
Counts
2 → 164
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
Outputs
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simplify148.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
1322×associate-+r+
1120×+-commutative
992×associate-+l+
604×*-commutative
550×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04899162
115528826
263068818
Stop Event
1×node limit
Counts
188 → 340
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))))))
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))))
(-.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)))))
(*.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 (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 (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))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (+.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 (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)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (-.f64 -1 x) (*.f64 (+.f64 x -1) (neg.f64 x)))) (*.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (-.f64 (*.f64 -1 (/.f64 (+.f64 1 x) x)) (-.f64 1 x))) (*.f64 (/.f64 (+.f64 1 x) x) (-.f64 1 x)))
(*.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))))
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(/.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)))
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(/.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)))
(+.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 1 x)))) 1)
(*.f64 1 (/.f64 x (+.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(*.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1)))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 1 (pow.f64 x 3))))
(*.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 x 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.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 1 (-.f64 -1 x)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 x)) (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 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 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)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.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 x 1) (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 x (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.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 (+.f64 1 (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))
(+.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 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.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 (/.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 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
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 1 (-.f64 (/.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 (/.f64 1 (*.f64 x x)) (/.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 1 (-.f64 (/.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 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(-.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 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(-.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 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 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 (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 -1 (-.f64 1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(-.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 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.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 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.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 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.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 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.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 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.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 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 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 (-.f64 (fma.f64 x x 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 (-.f64 (fma.f64 x x 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 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) 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)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
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(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (neg.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 3)))))
(*.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)) (/.f64 x (-.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 x (neg.f64 (fma.f64 x x -1))))
(/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (pow.f64 x 3/2)))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 x (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(/.f64 x (+.f64 x 1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(/.f64 x (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(/.f64 x (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(/.f64 x (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(/.f64 x (+.f64 x 1))
(neg.f64 (/.f64 x (-.f64 -1 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))
(fabs.f64 (/.f64 x (+.f64 x 1)))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(/.f64 x (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(/.f64 x (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 x (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))

eval259.0ms (10.2%)

Compiler

Compiled 8518 to 6085 computations (28.6% saved)

prune52.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3364340
Fresh000
Picked011
Done000
Total3365341
Error
0b
Counts
341 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶33.8b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶29.6b
(+.f64 1 (/.f64 2 (*.f64 x x)))
29.4b
1
34.2b
-1
Compiler

Compiled 32 to 25 computations (21.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.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))

rewrite49.0ms (1.9%)

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))))))))

simplify77.0ms (3%)

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))

localize7.0ms (0.3%)

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval55.0ms (2.2%)

Compiler

Compiled 234 to 177 computations (24.4% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New24024
Fresh022
Picked011
Done022
Total24529
Error
0b
Counts
29 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓33.8b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓29.6b
(+.f64 1 (/.f64 2 (*.f64 x x)))
29.4b
1
34.2b
-1
Compiler

Compiled 32 to 25 computations (21.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓33.8b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓29.6b
(+.f64 1 (/.f64 2 (*.f64 x x)))
29.4b
1
34.2b
-1
Compiler

Compiled 32 to 25 computations (21.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓33.8b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓29.6b
(+.f64 1 (/.f64 2 (*.f64 x x)))
29.4b
1
34.2b
-1
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) 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
3.0ms
(+.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 42 to 31 computations (26.2% saved)

regimes13.0ms (0.5%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.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:

12.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch33.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
5.22607303434489e-17
3.4391030393211546
16.0ms
-93.71353006145279
-0.002299015626617176
Results
30.0ms288×body256valid
Compiler

Compiled 340 to 264 computations (22.4% saved)

regimes11.0ms (0.4%)

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:

10.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
5.22607303434489e-17
3.4391030393211546
20.0ms
-93.71353006145279
-0.002299015626617176
Results
33.0ms288×body256valid
Compiler

Compiled 232 to 192 computations (17.2% saved)

regimes34.0ms (1.3%)

Accuracy

Total -62.4b remaining (-10189.1%)

Threshold costs -62.4b (-10189.1%)

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

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch31.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
5.22607303434489e-17
3.4391030393211546
15.0ms
-93.71353006145279
-0.002299015626617176
Results
28.0ms288×body256valid
Compiler

Compiled 124 to 120 computations (3.2% saved)

simplify36.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028161
146161
247161
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 3/2) (+.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)))))
(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 3/2) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/2))) (+.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)
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 68 to 53 computations (22.1% saved)

soundness0.0ms (0%)

end44.0ms (1.8%)

Compiler

Compiled 64 to 48 computations (25% saved)

Profiling

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