Details

Time bar (total: 4.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
81.3%81.2%18.7%0%0%0%0%5
90.6%90.6%9.4%0%0%0%0%6
95.3%95.3%4.7%0%0%0%0%7
97.7%97.6%2.3%0%0%0%0%8
98.8%98.8%1.2%0%0%0%0%9
99.4%99.4%0.6%0%0%0%0%10
99.7%99.7%0.3%0%0%0%0%11
99.9%99.8%0.1%0%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample899.0ms (20.3%)

Results
459.0ms5748×body256valid
344.0ms2054×body512valid
83.0ms454×body1024valid
0.0ms4×body256infinite
Bogosity

preprocess11.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11425
22025
32925
43925
55725
610825
714425
819025
922925
1025325
1125525
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify20.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
80×fma-def
44×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11425
22025
32925
43925
55725
610825
714425
819025
922925
1025325
1125525
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))

eval1.0ms (0%)

Compiler

Compiled 28 to 22 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
13.8b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize39.0ms (0.9%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓3.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite86.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
894×associate-/r*
850×*-commutative
794×unswap-sqr
522×distribute-lft-in
490×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
118838
2270438
Stop Event
1×node limit
Counts
2 → 179
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 1 (+.f64 x 1))
Outputs
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(+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1))))))))

simplify124.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1252×associate-+l+
1234×associate-+r+
1086×+-commutative
586×fma-def
486×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05089453
114758623
259048623
Stop Event
1×node limit
Counts
203 → 319
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 x) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 x) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 x) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 1 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 1 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) 1))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) 1))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (*.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) 1))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))
(+.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 x (-.f64 -1 x)))
(*.f64 (+.f64 x (-.f64 -1 x)) (/.f64 1 (+.f64 x (*.f64 x x))))
(*.f64 -1 (+.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 x)))
(*.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))
(*.f64 -1 (-.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 -1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (/.f64 1 x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)) (+.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))) (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 x (+.f64 x 1))) (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 x (+.f64 x 1))) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 (-.f64 -1 x) (neg.f64 x))) (*.f64 x (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) -3)) (*.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))) (-.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))) 3))) (+.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) -3)) (*.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))) (-.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))) (pow.f64 (+.f64 x 1) -2)))))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (neg.f64 x)) -1)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 (+.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 (+.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(/.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (/.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)))))
(/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (+.f64 x (-.f64 -1 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (/.f64 (+.f64 x (*.f64 x x)) (cbrt.f64 (+.f64 x (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) x)
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) -3)) (*.f64 (/.f64 1 x) (pow.f64 x -3))) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x 1) -3)) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (+.f64 x 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 x -2) (neg.f64 (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) (+.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x 1) -3)) (*.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) -3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x 1) -3)) (*.f64 (pow.f64 x -3) (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -2)) (pow.f64 x -2)) (+.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 x) (+.f64 x 1)) (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) 1) (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (sqrt.f64 (+.f64 x 1))) (*.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) 1) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) 1) (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 x (*.f64 x x))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (+.f64 x (*.f64 x x))))) (cbrt.f64 (+.f64 x (*.f64 x x))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 x 1)) (+.f64 x 1)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 x 1)) (-.f64 -1 x)) x)
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (-.f64 -1 x)) (neg.f64 x))
(pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 x -2)) (+.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (+.f64 x 1))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))))
(neg.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (-.f64 -1 x))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (*.f64 (/.f64 1 (fma.f64 x x -1)) -1))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1))) (*.f64 -1 (/.f64 1 (fma.f64 x x -1))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(*.f64 -1 (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (-.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 1 (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 (+.f64 x -1) (-.f64 (*.f64 x (pow.f64 x 3)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) 1) (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (/.f64 1 (cbrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (+.f64 x 1) -1)
(pow.f64 (/.f64 1 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) -3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 (/.f64 -1 x) 1)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (-.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (-.f64 (fma.f64 x x 1) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 3))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (cbrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (*.f64 (/.f64 1 (fma.f64 x x -1)) -1))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1))) (*.f64 -1 (/.f64 1 (fma.f64 x x -1))))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1)))) 1)
(/.f64 1 (+.f64 x 1))
(*.f64 1 (/.f64 1 (+.f64 x 1)))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 1 (+.f64 x 1)) 1)
(/.f64 1 (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (cbrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(*.f64 -1 (/.f64 1 (-.f64 -1 x)))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 -1 x)) -1)
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1))
(/.f64 1 (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (-.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 -1 (pow.f64 x 6))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 6) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (pow.f64 (pow.f64 x 3) 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (+.f64 1 (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (hypot.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (+.f64 -1 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (/.f64 1 (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 1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.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)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (*.f64 x (pow.f64 x 3)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 -1 x) (fma.f64 x (pow.f64 x 3) -1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 -1 x) (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x 1))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (+.f64 (*.f64 x (pow.f64 x 3)) 1) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 -1 x) (+.f64 (*.f64 x x) (fma.f64 x (pow.f64 x 3) 1))) (+.f64 (pow.f64 x 6) -1))
(/.f64 (*.f64 (+.f64 -1 x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (/.f64 1 (cbrt.f64 (+.f64 x 1)))))
(/.f64 1 (+.f64 x 1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))))) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))))))
(/.f64 1 (+.f64 x 1))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (+.f64 x 1) -1)
(/.f64 1 (+.f64 x 1))
(pow.f64 (/.f64 1 (+.f64 x 1)) 1)
(/.f64 1 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) -1/2) 2)
(/.f64 1 (+.f64 x 1))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 3)
(/.f64 1 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(sqrt.f64 (pow.f64 (+.f64 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))
(/.f64 1 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 1 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1))))
(/.f64 1 (+.f64 x 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1))))
(/.f64 1 (+.f64 x 1))

eval186.0ms (4.2%)

Compiler

Compiled 7070 to 5144 computations (27.2% saved)

prune49.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3118319
Fresh000
Picked011
Done000
Total3119320
Error
0.0b
Counts
320 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
12.6b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
▶12.6b
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
▶31.6b
(/.f64 -1 (*.f64 x x))
▶31.5b
(/.f64 -1 x)
✓13.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
32.1b
(-.f64 (-.f64 1 x) (/.f64 1 x))
32.1b
(-.f64 1 (/.f64 1 x))
▶33.4b
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))
▶0.1b
(*.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
Compiler

Compiled 172 to 122 computations (29.1% saved)

localize21.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))
Compiler

Compiled 47 to 31 computations (34% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1828×add-sqr-sqrt
1808×*-un-lft-identity
1694×add-cube-cbrt
1670×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117919
2240619
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 1) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 x 1) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x 1)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 x 1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))))))

simplify69.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1106×associate-*r*
934×associate-*l*
850×times-frac
698×associate-*r/
604×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01401519
13521137
210431077
363451077
Stop Event
1×node limit
Counts
55 → 84
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))) 1)
(/.f64 1 (+.f64 x (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x 1) (/.f64 1 x)))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x x)) 1))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(/.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(/.f64 (/.f64 1 x) (+.f64 x 1))
(/.f64 (/.f64 1 (+.f64 x 1)) x)
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 1) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 x 1) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 x 1)))))
(/.f64 -1 (*.f64 (+.f64 x 1) (neg.f64 x)))
(/.f64 -1 (*.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 x 1)))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) x))
(/.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 x 1)) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) -1) (+.f64 -1 (neg.f64 x)))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 x 1))) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 x 1))
(/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) 1) x)
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3) 1/3)
(pow.f64 (+.f64 x (*.f64 x x)) -1)
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(+.f64 x (-.f64 (-.f64 (/.f64 1 x) (*.f64 x x)) 1))
(+.f64 (/.f64 1 x) (+.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 x -2)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 x -2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))) 1)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 x 1) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (/.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x x)) 1))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 1 (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 1 x) (+.f64 x 1))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 1 (+.f64 x 1)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 1) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 x 1) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 x)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (+.f64 1 x) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 x 1)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 x 1) (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 x (cbrt.f64 (+.f64 1 x))))
(/.f64 -1 (*.f64 (+.f64 x 1) (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 -1 (*.f64 x (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 x 1)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 x)) x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (*.f64 (/.f64 1 (+.f64 x 1)) -1) (neg.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (*.f64 (/.f64 1 x) -1) (+.f64 -1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (*.f64 -1 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 1 x) 1) (+.f64 x 1))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 1 x) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 1 (*.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))) x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) 1) x)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (neg.f64 (/.f64 1 x)) (+.f64 -1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(/.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 1)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) 2)
(pow.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3) 1/3)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (+.f64 x (*.f64 x x)) -1)
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 x 1) 2)))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) 2)))
(sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))
(/.f64 (/.f64 1 x) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))
(/.f64 (/.f64 1 x) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1124×add-sqr-sqrt
1110×*-un-lft-identity
1052×pow1
1030×add-cube-cbrt
1020×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
112511
2148411
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))))

simplify44.0ms (1%)

Algorithm
1×egg-herbie
Rules
1294×associate-/r*
1154×distribute-rgt-in
1136×distribute-lft-in
984×associate-+r+
902×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054498
1125432
2428432
32637432
Stop Event
1×node limit
Counts
34 → 25
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)
(*.f64 -1 (pow.f64 x -2))
(*.f64 (/.f64 -1 (*.f64 x x)) 1)
(*.f64 1 (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) -1)
(pow.f64 (/.f64 -1 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) -1) -1)
(pow.f64 (neg.f64 (*.f64 x x)) -1)
(neg.f64 (pow.f64 x -2))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 -1 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (/.f64 -1 (*.f64 x x)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 1 (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (/.f64 -1 (*.f64 x x)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) -1) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (neg.f64 (*.f64 x x)) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 x x))
✓0.0b
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
✓2.2b
(+.f64 x (-.f64 -1 x))
Compiler

Compiled 30 to 13 computations (56.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite95.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1470×associate-/r*
1158×associate-/l*
1106×*-commutative
694×associate-/r/
526×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0957
121749
2339049
Stop Event
1×node limit
Counts
3 → 229
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 x))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(+.f64 x (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) (/.f64 (*.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x -1) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(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 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))))

simplify129.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1136×+-commutative
1094×associate-+r+
602×associate-*r*
536×distribute-lft-in
498×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05757679
117647237
270717235
Stop Event
1×node limit
Counts
265 → 343
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(-.f64 -1 (-.f64 x x))
(-.f64 (+.f64 x -1) x)
(-.f64 (+.f64 x 1) (-.f64 1 (-.f64 -1 x)))
(-.f64 (neg.f64 x) (-.f64 1 x))
(-.f64 (exp.f64 (log.f64 (-.f64 x x))) 1)
(-.f64 (-.f64 x x) 1)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (+.f64 x 1))))
(-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))) x))
(-.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) (/.f64 (*.f64 x x) (+.f64 x -1)))
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(-.f64 (+.f64 (-.f64 -1 x) (+.f64 x 1)) 1)
(-.f64 (+.f64 (+.f64 x -1) 0) x)
(*.f64 (+.f64 x (-.f64 -1 x)) 1)
(*.f64 1 (+.f64 x (-.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))
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(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x (-.f64 -1 x)))))
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(/.f64 (+.f64 x (-.f64 -1 x)) 1)
(/.f64 (+.f64 x (-.f64 -1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))))
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 -1 x))))
(/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (+.f64 x (-.f64 -1 x)))))
(/.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))
(/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (+.f64 x (-.f64 -1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))) (/.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (*.f64 1 (neg.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (*.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x x)) (-.f64 -1 (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x x)) (*.f64 1 (-.f64 -1 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2))) (*.f64 (+.f64 x (+.f64 x 1)) (+.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 x x)) (+.f64 x (+.f64 x -1)))
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 x x)) (*.f64 1 (+.f64 x (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (-.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (*.f64 (+.f64 x (+.f64 x 1)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (*.f64 1 (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) 1) (+.f64 x (+.f64 x 1)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (+.f64 x (+.f64 x 1))))) (cbrt.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))) (cbrt.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x 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 (pow.f64 (+.f64 x (-.f64 -1 x)) 3) 1/3)
(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 (log.f64 (-.f64 x x)))
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))
(fma.f64 1 x (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) x)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -1 x))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 1 x))
(+.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (/.f64 1 x)))
(+.f64 (fma.f64 x x 1) (fma.f64 x -1 (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(-.f64 -1 (-.f64 x x))
-1
(-.f64 (+.f64 x -1) x)
-1
(-.f64 (+.f64 x 1) (-.f64 1 (-.f64 -1 x)))
-1
(-.f64 (neg.f64 x) (-.f64 1 x))
-1
(-.f64 (exp.f64 (log.f64 (-.f64 x x))) 1)
-1
(-.f64 (-.f64 x x) 1)
-1
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) x))
(-.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))) x))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x))))) x)
(+.f64 (/.f64 -1 (+.f64 (neg.f64 x) (fma.f64 x x 1))) (-.f64 x (/.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 x x 1)))))
(-.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) (/.f64 (*.f64 x x) (+.f64 x -1)))
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) x))
(-.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 x (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x))))) x)
(+.f64 (/.f64 -1 (+.f64 (neg.f64 x) (fma.f64 x x 1))) (-.f64 x (/.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 x x 1)))))
(-.f64 (+.f64 (-.f64 -1 x) (+.f64 x 1)) 1)
-1
(-.f64 (+.f64 (+.f64 x -1) 0) x)
-1
(*.f64 (+.f64 x (-.f64 -1 x)) 1)
-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 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
-1
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (+.f64 x (-.f64 -1 x)))
-1
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x (-.f64 -1 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (fma.f64 x x (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (fma.f64 x x (*.f64 (-.f64 -1 x) -1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (-.f64 (-.f64 -1 x) x) (-.f64 (-.f64 -1 x) x))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (+.f64 -1 (*.f64 -2 x)) (+.f64 -1 (*.f64 -2 x)))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) 3))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (-.f64 (-.f64 -1 x) x) (-.f64 (-.f64 -1 x) x))) (*.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x))) 3)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x))) (-.f64 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x))) (*.f64 x x))))))
(/.f64 (+.f64 x (-.f64 -1 x)) 1)
-1
(/.f64 (+.f64 x (-.f64 -1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))))
-1
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 -1 x))))
-1
(/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (+.f64 x (-.f64 -1 x)))))
-1
(/.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2)))
-1
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (-.f64 -1 x)))))
-1
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (+.f64 x (-.f64 -1 x))))
-1
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 -1 x) 3/2) (pow.f64 x 3/2)) (/.f64 (hypot.f64 (pow.f64 (-.f64 -1 x) 3/2) (pow.f64 x 3/2)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (+.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (sqrt.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x)))) (/.f64 (sqrt.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x)))) (fma.f64 2 x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)))) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)))) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))) (/.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)))) (+.f64 x (+.f64 x 1))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x)))) (cbrt.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))))) (/.f64 (fma.f64 2 x 1) (cbrt.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (*.f64 1 (neg.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (+.f64 x 1)))
(/.f64 (*.f64 -1 (-.f64 x (-.f64 -1 x))) (fma.f64 2 x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (fma.f64 x x (*.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (/.f64 (-.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 x (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 x 3/2)) (/.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 x 3/2)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))) (/.f64 (-.f64 x (*.f64 x x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))) (-.f64 x (*.f64 x x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (/.f64 (/.f64 (*.f64 x (-.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))) (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 (sqrt.f64 x)))
(fma.f64 x x x)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (/.f64 1 (cbrt.f64 x)))
(fma.f64 x x x)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 1 (neg.f64 (-.f64 x (*.f64 x x)))))
(fma.f64 x x x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (*.f64 1 (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 12)) (*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 12)) (*.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 x x x)
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (-.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 8)) (*.f64 (-.f64 x (*.f64 x x)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 8)) (*.f64 (*.f64 x (-.f64 1 x)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 6) 3)) (*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (pow.f64 x 6) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 6) 3)) (*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 12) (pow.f64 (pow.f64 x 3) 3)))))
(/.f64 (+.f64 (*.f64 x (pow.f64 x 8)) (pow.f64 (pow.f64 x 6) 3)) (*.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 12) (*.f64 x (pow.f64 x 8))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 4) 3)) (*.f64 (-.f64 x (*.f64 x x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 4) 3)) (*.f64 (-.f64 x (*.f64 x x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (pow.f64 x 8)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 12)) (*.f64 x (-.f64 1 x))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (pow.f64 x 8))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) x) (-.f64 1 x))
(fma.f64 x x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) 1) (-.f64 x (*.f64 x x)))
(fma.f64 x x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (sqrt.f64 (-.f64 x (*.f64 x x)))) (sqrt.f64 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (cbrt.f64 (-.f64 x (*.f64 x x))))) (cbrt.f64 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (+.f64 x (sqrt.f64 x))) (-.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (-.f64 (sqrt.f64 x) x) (+.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))) (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(pow.f64 (+.f64 x (*.f64 x x)) 1)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(fabs.f64 (fma.f64 x x x))
(log.f64 (exp.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x x)))))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(exp.f64 (log.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 x x x)
(fma.f64 1 (*.f64 x x) x)
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 x 1) (sqrt.f64 x))
✓0.1b
(/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
✓0.2b
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))
Compiler

Compiled 55 to 30 computations (45.5% saved)

series4.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
1.0ms
x
@inf
(/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
1.0ms
x
@0
(/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
0.0ms
x
@-inf
(*.f64 (+.f64 x 1) (sqrt.f64 x))
0.0ms
x
@-inf
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))

rewrite94.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1712×associate-*l/
1250×associate-/r*
548×associate-/l*
456×distribute-lft-in
394×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
134973
2369273
Stop Event
1×node limit
Counts
3 → 234
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(*.f64 (+.f64 x 1) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (pow.f64 x -1/4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) -1) (neg.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x -1/2) (/.f64 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) 1) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))))))

simplify165.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1714×associate-/l*
932×associate-/l/
928×times-frac
716×associate-/r*
456×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05879924
115569022
272599022
Stop Event
1×node limit
Counts
246 → 361
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))))) 1)
(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/2)))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))) 1)
(/.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/4)))
(/.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (pow.f64 x -1/4) -1)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1))))
(/.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1/2))))
(/.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) -1)))
(/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 x -1/2) -1) (neg.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))))
(/.f64 (/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (sqrt.f64 x))) -1)
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) -1)) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) -1)) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -1/2) 1) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (neg.f64 (+.f64 x 1)))
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) (neg.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) -1)) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(/.f64 (pow.f64 1 -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/2)))
(/.f64 (pow.f64 (sqrt.f64 x) -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) -1/2)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (pow.f64 x -1/2)) (+.f64 x 1))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (pow.f64 x -1/2)) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) (pow.f64 x -1/2)) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (/.f64 -1 (+.f64 x 1)) (pow.f64 x 1/4)) (pow.f64 x -1/2)) (pow.f64 x 1/4))
(/.f64 (*.f64 (/.f64 -1 (*.f64 (+.f64 x 1) (cbrt.f64 x))) (pow.f64 x -1/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (/.f64 -1 (+.f64 x 1))) (pow.f64 x -1/2)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 x -1/2) -1) 1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) -1) 1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) -1)) 1) (+.f64 x 1))
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) 1) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) -1)) 1) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) -1)) 1) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 (+.f64 x 1))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))) (pow.f64 x 1/4))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (cbrt.f64 (/.f64 (pow.f64 x -1) (*.f64 x (pow.f64 (+.f64 x 1) 2))))) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 x))) (+.f64 x 1))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (pow.f64 x 1/4)) (*.f64 (pow.f64 x 1/4) (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (sqrt.f64 x))) (+.f64 x 1))
(/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))))) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (pow.f64 x 1/4))) (pow.f64 x 1/4))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (cbrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (pow.f64 1 1/2)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (pow.f64 (cbrt.f64 x) 1/2))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (pow.f64 1 1/2)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (pow.f64 (cbrt.f64 x) 1/2))
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(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 x))
(+.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 -1 x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))))) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 -1 (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 1 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x)))) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/4)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 x -1/4) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (pow.f64 x -1/4) -1)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1))))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (+.f64 x 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (sqrt.f64 x) (-.f64 -1 x))))
(/.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 x) (-.f64 -1 x))))
(/.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) -1)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 x) (-.f64 -1 x))))
(/.f64 (*.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (*.f64 (pow.f64 x -1/2) -1) (neg.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x -1/2) -1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -1 (pow.f64 x -1/2))) (*.f64 (+.f64 x 1) (sqrt.f64 x))) (sqrt.f64 (*.f64 -1 (pow.f64 x -1/2))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x -1/2))) (/.f64 (sqrt.f64 (neg.f64 (pow.f64 x -1/2))) (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))) (/.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -1/2))) (cbrt.f64 (*.f64 -1 (pow.f64 x -1/2)))) (/.f64 (+.f64 x 1) (/.f64 (cbrt.f64 (*.f64 -1 (pow.f64 x -1/2))) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -1/2))) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -1/2))) (/.f64 (+.f64 x 1) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -1/2))) (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (sqrt.f64 x))) -1)
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))))
(/.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -1 x))) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) -1) (*.f64 (+.f64 x 1) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) -1)) (+.f64 x 1))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -1/2) -1) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) -1)) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) -1) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (/.f64 (pow.f64 x -1/2) 1) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (neg.f64 (+.f64 x 1)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) (neg.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) -1) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) -1)) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 1 -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 (sqrt.f64 x) -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) -1/2)))
(/.f64 (pow.f64 (sqrt.f64 x) -1/2) (/.f64 (+.f64 x 1) (/.f64 (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2)) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (/.f64 (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 (+.f64 x 1) (neg.f64 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x))))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (pow.f64 x -1/2)) (+.f64 x 1))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))) (pow.f64 x -1/2)) (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 x) (-.f64 -1 x)))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) (pow.f64 x -1/2)) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))) -1) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(/.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 (/.f64 -1 (+.f64 x 1)) (pow.f64 x 1/4)) (pow.f64 x -1/2)) (pow.f64 x 1/4))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 x -1/2)) (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4)))
(/.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (*.f64 (/.f64 -1 (*.f64 (+.f64 x 1) (cbrt.f64 x))) (pow.f64 x -1/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 x -1/2)) (+.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (-.f64 -1 x)))
(/.f64 (*.f64 (neg.f64 (/.f64 -1 (+.f64 x 1))) (pow.f64 x -1/2)) (neg.f64 (sqrt.f64 x)))
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(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 x)) (-.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x -1)) (-.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1)) (sqrt.f64 x)) (neg.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x -1)) (-.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 x)) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 x) (/.f64 (neg.f64 (fma.f64 x x (-.f64 1 x))) (-.f64 -1 (pow.f64 x 3))))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 -1 (*.f64 x (+.f64 -1 x))) (-.f64 -1 (pow.f64 x 3))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) 1) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) 1) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) 1) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) 1) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) (*.f64 (+.f64 (sqrt.f64 x) -1) (+.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) 1) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x -1)) (*.f64 (+.f64 (sqrt.f64 x) -1) (+.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) 1) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 1)
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 2)
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))) 3)
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3) 1/3)
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 x 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 x 1)))
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)))))
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) 3))
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(*.f64 (+.f64 x 1) (sqrt.f64 x))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 x) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 x) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x))))
(*.f64 (+.f64 x 1) (sqrt.f64 x))

eval422.0ms (9.5%)

Compiler

Compiled 19431 to 12158 computations (37.4% saved)

prune174.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New9044908
Fresh123
Picked101
Done235
Total9089917
Error
0b
Counts
917 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.6b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
▶0.2b
(/.f64 -1 (+.f64 x (*.f64 x x)))
✓31.6b
(/.f64 -1 (*.f64 x x))
✓31.5b
(/.f64 -1 x)
✓13.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶32.1b
(-.f64 1 (/.f64 1 x))
▶31.6b
(*.f64 (/.f64 -1 x) (/.f64 1 x))
▶0.1b
(*.f64 (+.f64 -1 (-.f64 x x)) (/.f64 (/.f64 1 (+.f64 x 1)) x))
31.5b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 126 to 91 computations (27.8% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
✓0.1b
(/.f64 (/.f64 1 (+.f64 x 1)) x)
Compiler

Compiled 40 to 25 computations (37.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1664×add-sqr-sqrt
1644×*-un-lft-identity
1542×add-cube-cbrt
1524×add-cbrt-cube
156×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115719
2213519
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (+.f64 x 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) 1) (/.f64 (pow.f64 (+.f64 x 1) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 x 1) -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))))))

simplify58.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1188×distribute-lft-in
1156×distribute-rgt-in
870×associate-*r*
724×associate-*l*
608×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131208
13091062
29631038
347961038
Stop Event
1×node limit
Counts
44 → 75
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))) 1)
(*.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) x))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) 1) (/.f64 (pow.f64 (+.f64 x 1) -1/2) x))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3) 1/3)
(pow.f64 (+.f64 x (*.f64 x x)) -1)
(neg.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 x 1) -2) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
(exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 x (fma.f64 x (neg.f64 x) -1)))
(+.f64 x (+.f64 (/.f64 1 x) (fma.f64 x (neg.f64 x) -1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))) 1)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) x))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 1 (neg.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 x) (+.f64 1 x))))
(/.f64 (/.f64 1 (*.f64 (+.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (+.f64 1 x) (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) 1) (/.f64 (pow.f64 (+.f64 x 1) -1/2) x))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 x) (+.f64 1 x))))
(/.f64 (/.f64 1 (*.f64 (+.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (+.f64 1 x) (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (fma.f64 x x x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (fma.f64 x x x))))
(pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 1)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 x)) 2)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3) 1/3)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(pow.f64 (+.f64 x (*.f64 x x)) -1)
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(neg.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 x 1) -2) (*.f64 x x)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x))))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) 3))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))
(exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x)
(exp.f64 (*.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) 1))
(exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
(/.f64 1 (fma.f64 x x x))

localize5.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 -1 x) (/.f64 1 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1128×add-sqr-sqrt
1112×*-un-lft-identity
1058×pow1
1030×add-cube-cbrt
1020×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11657
219607
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify46.0ms (1%)

Algorithm
1×egg-herbie
Rules
974×log-prod
694×associate-/l/
686×distribute-rgt-in
652×distribute-lft-in
590×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072712
1157592
2527426
32484424
Stop Event
1×node limit
Counts
44 → 40
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 -1 x) x)
(/.f64 (/.f64 -1 x) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 1 (/.f64 x (/.f64 -1 x)))
(/.f64 1 (*.f64 x (neg.f64 x)))
(/.f64 1 (/.f64 (*.f64 x x) -1))
(/.f64 1 (*.f64 (neg.f64 x) x))
(/.f64 1 (neg.f64 (*.f64 x x)))
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 -1 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 -1 x) 1) x)
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x -2)
(pow.f64 (/.f64 -1 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (*.f64 x x) -1)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(log.f64 (exp.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (/.f64 x (/.f64 -1 x)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 -1 (*.f64 x (neg.f64 x)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 -1 (*.f64 (neg.f64 x) x))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 1 (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 1 (*.f64 x (neg.f64 x)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x x) -1))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 1 (*.f64 (neg.f64 x) x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 1 (neg.f64 (*.f64 x x)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 -1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 x -1) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 x) (/.f64 x -1)))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (neg.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 -1 x) 1) x)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 x -2)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 (/.f64 -1 x) 2)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(+.f64 (+.f64 1 (pow.f64 x -2)) -1)
(+.f64 (pow.f64 x -2) 0)
(pow.f64 x -2)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 x x))
✓0.2b
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1608×add-sqr-sqrt
1590×*-un-lft-identity
1488×add-cube-cbrt
1474×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
115615
2211015
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 x (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (*.f64 x x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))))

simplify52.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1876×associate-/r*
1790×distribute-lft-in
850×associate-+r+
682×associate-+l+
652×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089943
1218841
2741831
33173831
Stop Event
1×node limit
Counts
37 → 60
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))) 1)
(*.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(*.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(*.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x (*.f64 x x)) -1) -1)
(pow.f64 (neg.f64 (+.f64 x (*.f64 x x))) -1)
(neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (-.f64 x 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))) 1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (pow.f64 x 4)))
(/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) (pow.f64 x 4)))
(/.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x x (neg.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))
(pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (*.f64 (+.f64 x (*.f64 x x)) -1) -1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (neg.f64 (+.f64 x (*.f64 x x))) -1)
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x))))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
2.2b
(+.f64 x (-.f64 -1 x))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite73.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1534×associate-/r/
1304×associate-/l/
1036×distribute-lft-in
244×add-sqr-sqrt
238×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
123531
2353631
Stop Event
1×node limit
Counts
1 → 83
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
Outputs
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(cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 -1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 -1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) 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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (/.f64 x (+.f64 x (-.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))))))

simplify68.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1198×distribute-lft-in
1008×distribute-rgt-in
938×*-commutative
906×associate-/l/
504×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02713951
18642539
233852473
Stop Event
1×node limit
Counts
95 → 147
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (fma.f64 x x -1) x)) x) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (fma.f64 x x -1) x)) -1))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (fma.f64 x x -1) x)) -1) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (fma.f64 x x -1) x)) x))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (*.f64 x x)) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (-.f64 1 x)) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)))) 1)
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x (*.f64 x x))) (/.f64 x (+.f64 x (*.f64 x x))))
(*.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (+.f64 x (-.f64 -1 x)) (/.f64 (/.f64 1 x) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 1 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (+.f64 x 1)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x (-.f64 -1 x)) x))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x 1)) (/.f64 1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (fma.f64 x x -1) x)) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 1)) (+.f64 x (-.f64 -1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 (+.f64 1 (-.f64 x x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) x))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (+.f64 x 1)) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (+.f64 x (*.f64 x x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (+.f64 x (*.f64 x x))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) 2) (+.f64 x 1)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) x) (+.f64 x (-.f64 -1 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) 1) (/.f64 (+.f64 x (-.f64 -1 x)) x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (+.f64 x (-.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (-.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 x)) (+.f64 1 (-.f64 x x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x 1)) (+.f64 x (-.f64 -1 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x (-.f64 -1 x))))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 -1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) 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 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x 1) (/.f64 x (+.f64 x (-.f64 -1 x)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (-.f64 (fma.f64 x x 1) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4))))
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(/.f64 (/.f64 -1 (*.f64 (+.f64 x 1) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (-.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1))) (/.f64 (+.f64 x (-.f64 -1 x)) (cbrt.f64 x)))
(/.f64 (/.f64 -1 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 -1 (*.f64 (cbrt.f64 x) (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 x)) (+.f64 1 (-.f64 x x)))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x 1)) (+.f64 x (-.f64 -1 x)))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x (-.f64 -1 x))))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x -1) (neg.f64 (*.f64 x (fma.f64 x x -1))))
(/.f64 (+.f64 x -1) (+.f64 x (pow.f64 (neg.f64 x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) 1) (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (-.f64 -1 (pow.f64 x 3)) x)) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x 1) x) 1) (neg.f64 (+.f64 x (pow.f64 x 4))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (+.f64 x (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x -1) (neg.f64 (*.f64 x (fma.f64 x x -1))))
(/.f64 (+.f64 x -1) (+.f64 x (pow.f64 (neg.f64 x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (-.f64 -1 (pow.f64 x 3)) x)) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x 1) x) 1) (neg.f64 (+.f64 x (pow.f64 x 4))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (+.f64 x (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x -1) (neg.f64 (*.f64 x (fma.f64 x x -1))))
(/.f64 (+.f64 x -1) (+.f64 x (pow.f64 (neg.f64 x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (-.f64 -1 (pow.f64 x 3)) x)) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x 1) x) 1) (neg.f64 (+.f64 x (pow.f64 x 4))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (+.f64 x (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x -1) (neg.f64 (*.f64 x (fma.f64 x x -1))))
(/.f64 (+.f64 x -1) (+.f64 x (pow.f64 (neg.f64 x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 -1 (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (-.f64 -1 (pow.f64 x 3)) x)) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x 1) x) 1) (neg.f64 (+.f64 x (pow.f64 x 4))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (+.f64 x (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 x (fma.f64 x x -1))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (*.f64 x (fma.f64 x x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (fma.f64 x x (-.f64 1 x))) (*.f64 x (+.f64 1 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4)))
(/.f64 (-.f64 x (fma.f64 x x 1)) (+.f64 x (pow.f64 x 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 -1 (hypot.f64 1 (pow.f64 x 3/2))) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 -1 (*.f64 (*.f64 x (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 (+.f64 x (-.f64 -1 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 x (hypot.f64 1 (sqrt.f64 x))))) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (/.f64 -1 (*.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) 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 (/.f64 (+.f64 x (-.f64 -1 x)) x) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 -1 (*.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)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (/.f64 -1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 -1 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 1)
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 2)
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))) 3)
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3) 1/3)
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (*.f64 (+.f64 x 1) (/.f64 x (+.f64 x (-.f64 -1 x)))) -1)
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(neg.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (-.f64 -1 x)))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x))) 2))
(fabs.f64 (/.f64 -1 (fma.f64 x x x)))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1)) 3))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) 3) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)))
(/.f64 (/.f64 -1 x) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x)) (log1p.f64 x)))
(/.f64 (/.f64 -1 x) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 -1 (fma.f64 x x x))

eval263.0ms (5.9%)

Compiler

Compiled 12518 to 8094 computations (35.3% saved)

prune197.0ms (4.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6422644
Fresh011
Picked101
Done257
Total6458653
Error
0b
Counts
653 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
▶31.5b
(/.f64 (/.f64 -1 x) x)
✓0.2b
(/.f64 -1 (+.f64 x (*.f64 x x)))
✓31.6b
(/.f64 -1 (*.f64 x x))
✓31.5b
(/.f64 -1 x)
✓13.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
✓32.1b
(-.f64 1 (/.f64 1 x))
▶31.5b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 53 to 39 computations (26.4% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.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)

rewrite54.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1246×add-sqr-sqrt
1236×*-un-lft-identity
1148×add-cube-cbrt
1132×add-cbrt-cube
1122×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2160713
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 -1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) x)))))))

simplify51.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
948×distribute-rgt-in
930×distribute-lft-in
906×associate-*r*
858×associate-+r+
772×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085582
1239576
2852576
34223576
Stop Event
1×node limit
Counts
44 → 36
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (/.f64 -1 x) x)) 1)
(*.f64 -1 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 x) x) 1)
(*.f64 1 (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (/.f64 -1 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 -1 x)) -1)
(neg.f64 (/.f64 1 (*.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) x)))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 (/.f64 -1 x) x)) 1)
(/.f64 -1 (*.f64 x x))
(*.f64 -1 (/.f64 1 (*.f64 x x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) x) 1)
(/.f64 -1 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 -1 x) x))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(/.f64 -1 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 -1 (*.f64 x x))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 -1 x))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 -1 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 -1 x) x) 1)
(/.f64 -1 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(/.f64 -1 (*.f64 x x))
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)
(/.f64 -1 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3) 1/3)
(/.f64 -1 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 -1 x)) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (/.f64 1 (*.f64 x x)))
(/.f64 -1 (*.f64 x x))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))
(sqrt.f64 (/.f64 1 (*.f64 (pow.f64 x 3) x)))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) x) 3))
(/.f64 -1 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 (*.f64 x x))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1844×add-sqr-sqrt
1830×*-un-lft-identity
1710×add-cube-cbrt
1690×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117519
2232119
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))))))

simplify64.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1650×distribute-lft-in
1602×distribute-rgt-in
898×associate-*r/
624×associate-/l*
580×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351489
13701279
212981265
351971265
Stop Event
1×node limit
Counts
51 → 85
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))) 1)
(*.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
(*.f64 -1 (/.f64 1 (*.f64 x (+.f64 x 1))))
(*.f64 -1 (/.f64 (/.f64 1 x) (+.f64 x 1)))
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (/.f64 (/.f64 -1 x) (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 x -1)) -1)
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 (/.f64 -1 x) 1)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (-.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (fma.f64 x x (-.f64 1 x)))
(+.f64 (/.f64 -1 x) (-.f64 (fma.f64 x x 1) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))) 1)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 -1 (/.f64 1 (*.f64 x (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 -1 (/.f64 (/.f64 1 x) (+.f64 x 1)))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 1 (/.f64 (/.f64 -1 x) (+.f64 x 1)))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (cbrt.f64 x))))
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3) (+.f64 x 1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 3)) (+.f64 x 1))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 x 1)) x)))
(/.f64 (/.f64 -1 (*.f64 x (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 x (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 -1 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (*.f64 (fma.f64 x x -1) x)) (+.f64 -1 x))
(*.f64 (/.f64 -1 (*.f64 x (fma.f64 x x -1))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (*.f64 x (fma.f64 x x -1)))
(*.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 -1 x) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4)))
(*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 -1 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 -1 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 x (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 x 1)) x)))
(/.f64 (/.f64 -1 (*.f64 x (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 x (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) (+.f64 x 1)))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 x 1)) x)))
(/.f64 (/.f64 -1 (*.f64 x (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 x (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) (+.f64 x 1)))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (cbrt.f64 x))))
(/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3) (+.f64 x 1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 3)) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 3)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x x x))) (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 1)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 2)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))) 3)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3) 1/3)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 x -1)) -1)
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(neg.f64 (/.f64 (/.f64 -1 x) (+.f64 -1 (neg.f64 x))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 2))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (exp.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1)) 3))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))
(/.f64 (/.f64 -1 x) (exp.f64 (log1p.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 (log1p.f64 x)) x))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))
(/.f64 (/.f64 -1 x) (exp.f64 (log1p.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 (log1p.f64 x)) x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1 x) (+.f64 x 1))))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (fma.f64 x x x))

eval59.0ms (1.3%)

Compiler

Compiled 1443 to 1040 computations (27.9% saved)

prune73.0ms (1.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done077
Total1218129
Error
0b
Counts
129 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
✓31.5b
(/.f64 (/.f64 -1 x) x)
✓0.2b
(/.f64 -1 (+.f64 x (*.f64 x x)))
✓31.6b
(/.f64 -1 (*.f64 x x))
✓31.5b
(/.f64 -1 x)
✓13.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
✓32.1b
(-.f64 1 (/.f64 1 x))
✓31.5b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes17.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 x 1))
(*.f64 (+.f64 -1 (-.f64 x x)) (/.f64 (/.f64 1 (+.f64 x 1)) x))
(*.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
(neg.f64 (pow.f64 x -2))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 -1 (-.f64 x x)) (*.f64 (+.f64 x 1) (sqrt.f64 x))))
Outputs
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 138 to 90 computations (34.8% saved)

regimes8.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes16.0ms (0.4%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch33.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
0.03128705971218673
9612009.847162431
17.0ms
-98065060.72833702
-0.3136624835348588
Results
26.0ms288×body256valid
Compiler

Compiled 302 to 227 computations (24.8% saved)

regimes13.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(*.f64 (/.f64 -1 x) (/.f64 1 x))
Outputs
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(/.f64 (/.f64 -1 x) x)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch55.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.03128705971218673
9612009.847162431
40.0ms
-98065060.72833702
-0.3136624835348588
Results
52.0ms288×body256valid
Compiler

Compiled 266 to 209 computations (21.4% saved)

regimes13.0ms (0.3%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch29.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.03128705971218673
9612009.847162431
14.0ms
-98065060.72833702
-0.3136624835348588
Results
25.0ms288×body256valid
Compiler

Compiled 266 to 209 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3.1%)

Threshold costs -1.0b (-3.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.5b1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify37.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
14×sub-neg
8×neg-mul-1
8×*-commutative
8×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030216
145216
255216
363216
469216
573216
675216
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 x)
Outputs
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1) (+.f64 (-.f64 1 x) (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3422735716801577/4503599627370496))) (/.f64 -1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 3422735716801577/4503599627370496))) (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(/.f64 -1 x)
Compiler

Compiled 90 to 64 computations (28.9% saved)

soundness0.0ms (0%)

end50.0ms (1.1%)

Compiler

Compiled 85 to 56 computations (34.1% saved)

Profiling

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