Details

Time bar (total: 3.6s)

analyze9.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample1.5s (41.6%)

Results
707.0ms5795×body256valid
694.0ms2016×body512valid
83.0ms445×body1024valid
0.0ms1×body256infinite
Bogosity

preprocess13.0ms (0.4%)

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)

simplify18.0ms (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
14.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize9.0ms (0.3%)

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

rewrite113.0ms (3.1%)

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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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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (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 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 (*.f64 x (pow.f64 x 3)) 1)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(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 1 x))))))))

simplify136.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1276×associate-+r+
1248×associate-+l+
1050×+-commutative
630×fma-def
488×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05079657
114688803
257488743
Stop Event
1×node limit
Counts
203 → 339
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 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 x) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.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 1 x)) (+.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 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.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 1 x)) (/.f64 -1 x)) (*.f64 1 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x)) (/.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 1 x)) (/.f64 -1 x)) (*.f64 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)) 1))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x)) (/.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 1 x)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (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 1 x)) (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 1 x)) (/.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 1 x)) (/.f64 -1 x)))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -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 1 x)) (/.f64 1 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 x (+.f64 1 x))) (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 x (+.f64 1 x))) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (-.f64 -1 x) (neg.f64 x))) (*.f64 x (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (-.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -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 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) -2) 3) (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))) 3))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -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 1 x) -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 1 x)) (neg.f64 x)) -1)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x) -1/2) (pow.f64 x -1/2))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.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 1 x) -2) (pow.f64 x -2))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -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 1 x) -2) (pow.f64 x -2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 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 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) -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 1 x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -3)) (*.f64 (/.f64 1 x) (pow.f64 x -3))) (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 1 x) -3)) (*.f64 (pow.f64 x -3) (pow.f64 x -3))) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (+.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (pow.f64 x -2) (neg.f64 (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) -2) 3) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 1 x) -3)) (*.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) -3) 3) (pow.f64 (pow.f64 x -3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 1 x) -3)) (*.f64 (pow.f64 x -3) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 x -2)) (+.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 x) (+.f64 1 x)) (*.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 1 x))) (*.f64 x (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 x (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) 1) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) 1) (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 x -2) (/.f64 1 (+.f64 x (*.f64 x x)))))))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
(/.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 1 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 1 x)) (+.f64 1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 1 x)) (-.f64 -1 x)) x)
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (-.f64 -1 x)) (neg.f64 x))
(pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 -1 x) (neg.f64 (/.f64 1 (+.f64 1 x))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -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 1 x)) (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.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 1 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.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 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.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 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 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 1 x) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -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 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x -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 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
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 (fma.f64 x x 1) (-.f64 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)))
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(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))

eval184.0ms (5.1%)

Compiler

Compiled 7478 to 5442 computations (27.2% saved)

prune50.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3336339
Fresh000
Picked011
Done000
Total3337340
Error
0.5b
Counts
340 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
13.7b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
▶13.7b
(/.f64 (+.f64 (-.f64 1 x) x) (*.f64 x (-.f64 -1 x)))
▶29.8b
(/.f64 -1 (*.f64 x x))
▶33.0b
(/.f64 -1 x)
✓14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶34.0b
(-.f64 (-.f64 1 x) (/.f64 1 x))
▶33.8b
(-.f64 1 (/.f64 1 x))
Compiler

Compiled 106 to 76 computations (28.3% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 -1 x))
✓0.0b
(/.f64 (+.f64 (-.f64 1 x) x) (*.f64 x (-.f64 -1 x)))
✓2.9b
(+.f64 (-.f64 1 x) x)
Compiler

Compiled 31 to 20 computations (35.5% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1518×associate-*l/
924×*-commutative
920×associate-/r*
608×distribute-lft-in
606×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01057
122833
2345833
Stop Event
1×node limit
Counts
3 → 166
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) x)
(/.f64 (+.f64 (-.f64 1 x) x) (*.f64 x (-.f64 -1 x)))
(*.f64 x (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 x) x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (*.f64 (/.f64 x 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simplify111.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
806×associate-+l+
702×associate-/l*
660×associate-+l-
652×+-commutative
600×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04637274
113986448
262896402
Stop Event
1×node limit
Counts
202 → 294
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))))
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(*.f64 -1 x)
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(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
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(*.f64 -1 (pow.f64 x 2))
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(*.f64 -1 (pow.f64 x 2))
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(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) (+.f64 1 (/.f64 0 (*.f64 x (-.f64 -1 x)))))
(*.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(*.f64 -1 (/.f64 -1 (*.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))
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(*.f64 (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 x -1)))
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(pow.f64 (*.f64 x (-.f64 -1 x)) -1)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 x (-.f64 -1 x)) 3)) 1/3)
(neg.f64 (/.f64 -1 (*.f64 x (-.f64 -1 x))))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 x (-.f64 -1 x)) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (-.f64 -1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(+.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x)))
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(+.f64 (*.f64 x (-.f64 -1 x)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (fma.f64 (neg.f64 x) x (*.f64 x x))))
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(+.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
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(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (neg.f64 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (-.f64 -1 x))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (-.f64 -1 x))) (*.f64 x (+.f64 (-.f64 x 1) x))))
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (-.f64 -1 x))) (*.f64 x (+.f64 (-.f64 x 1) x))) (*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (-.f64 -1 x))) (pow.f64 (-.f64 1 x) 2)))
(-.f64 0 (-.f64 x (*.f64 x (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1 x)))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(/.f64 x (/.f64 1 (-.f64 -1 x)))
(/.f64 x (/.f64 -1 (neg.f64 (-.f64 -1 x))))
(/.f64 -1 (/.f64 -1 (*.f64 x (-.f64 -1 x))))
(/.f64 (-.f64 -1 x) (/.f64 1 x))
(/.f64 (*.f64 x (-.f64 -1 x)) 1)
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 1 (*.f64 x (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (/.f64 -1 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))))))
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (-.f64 -1 x) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (-.f64 -1 x)) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (-.f64 -1 x)) (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 1 (*.f64 x (cbrt.f64 (-.f64 -1 x)))))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (-.f64 -1 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 1 (-.f64 -1 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (*.f64 (-.f64 -1 x) (cbrt.f64 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x -1) x))
(/.f64 (neg.f64 x) (/.f64 -1 (-.f64 -1 x)))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (fma.f64 x x (neg.f64 x))))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) x))
(/.f64 (*.f64 (-.f64 -1 x) (neg.f64 x)) -1)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2)) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (neg.f64 x))) (/.f64 -1 (sqrt.f64 (*.f64 (-.f64 -1 x) (neg.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2))) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (neg.f64 x))) (cbrt.f64 (*.f64 (-.f64 -1 x) (neg.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (-.f64 -1 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 -1 x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(/.f64 (/.f64 x 1) (/.f64 1 (-.f64 -1 x)))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (+.f64 x x)) (-.f64 -1 x))) (/.f64 1 (-.f64 1 (+.f64 x x))))
(/.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (-.f64 -1 x))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 x))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 -1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (/.f64 1 x) (+.f64 x -1)))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 x) 3)) (*.f64 (/.f64 1 x) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 -1 (neg.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 1) (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 1) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 1)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) 1) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) 1) (/.f64 1 (/.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 1)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 1) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))
(/.f64 (*.f64 (*.f64 x (-.f64 -1 x)) (-.f64 1 (+.f64 x x))) (-.f64 1 (+.f64 x x)))
(/.f64 (*.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 x) (neg.f64 (+.f64 x -1))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 (/.f64 1 x) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) x) (+.f64 x -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (neg.f64 x) 3)) x) (-.f64 (+.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 -1 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 (pow.f64 x 3))) x) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1) (+.f64 x -1))
(/.f64 (*.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (pow.f64 x 3))) (*.f64 x (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 1)) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (/.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 1)) 1)
(/.f64 (/.f64 1 (/.f64 1 (*.f64 x (-.f64 1 (*.f64 x x))))) (+.f64 x -1))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 -1 x) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 -1 x) (/.f64 1 (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 -1 x) (/.f64 1 (cbrt.f64 (*.f64 x x)))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (sqrt.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 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 (pow.f64 (exp.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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 x))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1 x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (-.f64 -1 x))) 0))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 x))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 -1 x)
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(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x x))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (-.f64 -1 x))) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x x)))) 2)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1) (+.f64 x -1))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (+.f64 -1 x)))
(/.f64 (+.f64 x (pow.f64 (neg.f64 x) 3)) (+.f64 -1 x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (+.f64 -1 x)))
(/.f64 (+.f64 x (pow.f64 (neg.f64 x) 3)) (+.f64 -1 x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 x) (+.f64 -1 x)))
(/.f64 (+.f64 x (pow.f64 (neg.f64 x) 3)) (+.f64 -1 x))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (-.f64 (neg.f64 x) (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (-.f64 (neg.f64 x) (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (-.f64 (neg.f64 x) (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(pow.f64 (*.f64 x (-.f64 -1 x)) 1)
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 2)
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 3)
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 3) 1/3)
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 2))
(fabs.f64 (neg.f64 (fma.f64 x x x)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 x)))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1 x)))))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 3))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 x))))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1 x))))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(exp.f64 (-.f64 (log.f64 (*.f64 x (-.f64 -1 x))) 0))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 x))))
(fma.f64 x (neg.f64 x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite50.0ms (1.4%)

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 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(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 (neg.f64 (pow.f64 x -2))) (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 (neg.f64 (pow.f64 x -2))))))) (#(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 (neg.f64 (pow.f64 x -2)) 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 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 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 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))

simplify49.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1496×associate-/l*
1236×distribute-rgt-in
1228×distribute-lft-in
1058×associate-+r+
926×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053494
1125432
2468414
32696414
Stop Event
1×node limit
Counts
34 → 26
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)
(*.f64 -1 (pow.f64 x -2))
(*.f64 (neg.f64 (pow.f64 x -2)) 1)
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(*.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 (neg.f64 (pow.f64 x -2))))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) -1)
(pow.f64 (neg.f64 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 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 (neg.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (neg.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 (neg.f64 (pow.f64 x -2))) 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 (neg.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(/.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 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (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 (neg.f64 (pow.f64 x -2)) 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 (neg.f64 (pow.f64 x -2))) 3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 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)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))

localize7.0ms (0.2%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval163.0ms (4.5%)

Compiler

Compiled 6716 to 4405 computations (34.4% saved)

prune60.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3173320
Fresh101
Picked011
Done235
Total3207327
Error
0b
Counts
327 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 (/.f64 1 x) (-.f64 -1 x))
▶0.5b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓29.8b
(/.f64 -1 (*.f64 x x))
✓33.0b
(/.f64 -1 x)
✓34.0b
(-.f64 (-.f64 1 x) (/.f64 1 x))
✓33.8b
(-.f64 1 (/.f64 1 x))
▶29.4b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 45 to 34 computations (24.4% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (-.f64 -1 x))
✓0.5b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1680×add-sqr-sqrt
1660×*-un-lft-identity
1550×add-cube-cbrt
1534×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116919
2208019
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (-.f64 -1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))))

simplify77.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1576×distribute-lft-in
1366×associate-/r/
972×associate-*r*
838×associate-*l*
440×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001042
12781018
28431002
344921002
Stop Event
1×node limit
Counts
40 → 64
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 -1 x))))) 1)
(*.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(*.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 x) (pow.f64 (-.f64 -1 x) -1))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))
(*.f64 (pow.f64 (-.f64 -1 x) -1) (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) -1))
(pow.f64 (*.f64 x (-.f64 -1 x)) -1)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(/.f64 (+.f64 -1 x) 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 (*.f64 x (+.f64 -1 x)) (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(fma.f64 x (+.f64 -1 x) (/.f64 (+.f64 -1 x) x))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) 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 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 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 -1 x))))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) 1) (cbrt.f64 (*.f64 x (-.f64 -1 x))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (cbrt.f64 (*.f64 x (-.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) 1) (cbrt.f64 (*.f64 x (-.f64 -1 x))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (cbrt.f64 (*.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 1 x) (pow.f64 (-.f64 -1 x) -1))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) (+.f64 x (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (*.f64 x (+.f64 -1 x)))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 -1 x)) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (-.f64 x (/.f64 -1 x))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (pow.f64 (-.f64 -1 x) -1) (/.f64 1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) -1))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(pow.f64 (*.f64 x (-.f64 -1 x)) -1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) 2)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 x))) -1))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 -1 (+.f64 x (*.f64 x x)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.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))

rewrite62.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1780×*-un-lft-identity
1666×add-cube-cbrt
1648×add-cbrt-cube
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117419
2223519
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 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 (/.f64 1 x) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 -1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))))

simplify66.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1000×associate-*r*
858×associate-*l*
748×distribute-lft-neg-in
668×times-frac
666×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261302
13571256
210801174
358721168
Stop Event
1×node limit
Counts
46 → 79
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 -1 x))))) 1)
(*.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 -1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)
(pow.f64 (*.f64 x (-.f64 -1 x)) -1)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (-.f64 -1 x))))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 -1 x) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 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 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x x (neg.f64 x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (fma.f64 x x (neg.f64 x)) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(*.f64 (+.f64 -1 x) (+.f64 x (/.f64 1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (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 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x -2) x) (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 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 (pow.f64 x -2) x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (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 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 (/.f64 (pow.f64 x -2) x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (pow.f64 x -2))) (/.f64 1 (pow.f64 x 5)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (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 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x -2) x) (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 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 (pow.f64 x -2) x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (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 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 (/.f64 (pow.f64 x -2) x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (pow.f64 x -2))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) 2)
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 -1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (-.f64 -1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 x)) x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (cbrt.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (+.f64 -1 x) (+.f64 x (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 -1 x) (-.f64 x (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) x) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 x) (+.f64 -1 x)) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (+.f64 x (/.f64 1 x))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (-.f64 -1 x)))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 x)) x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (cbrt.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 -1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (-.f64 -1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 -1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (-.f64 -1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (*.f64 x (-.f64 -1 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 -1 x)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 -1 x)))) 3)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(pow.f64 (*.f64 x (-.f64 -1 x)) -1)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (-.f64 -1 x))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(sqrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 -1 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))) 1))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))

eval172.0ms (4.8%)

Compiler

Compiled 5480 to 3780 computations (31% saved)

prune49.0ms (1.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3351336
Fresh000
Picked011
Done066
Total3358343
Error
0b
Counts
343 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) (-.f64 -1 x))
▶33.8b
(/.f64 (+.f64 -1 x) x)
✓0.5b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓29.8b
(/.f64 -1 (*.f64 x x))
✓33.0b
(/.f64 -1 x)
✓34.0b
(-.f64 (-.f64 1 x) (/.f64 1 x))
✓33.8b
(-.f64 1 (/.f64 1 x))
✓29.4b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 51 to 38 computations (25.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1494×add-sqr-sqrt
1478×*-un-lft-identity
1384×add-cube-cbrt
1370×add-cbrt-cube
1360×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113413
2179913
Stop Event
1×node limit
Counts
1 → 31
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 (+.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 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) (sqrt.f64 (/.f64 (+.f64 -1 x) 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 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (*.f64 (cbrt.f64 (+.f64 -1 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 (neg.f64 (+.f64 -1 x)) (/.f64 1 (neg.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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 x) (cbrt.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 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 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 (+.f64 -1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 2))))) (#(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 exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) x)))))))

simplify49.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1100×associate-+r+
806×associate-+l+
718×*-commutative
558×associate-*r/
454×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082663
1210639
2900639
33866639
Stop Event
1×node limit
Counts
43 → 41
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) x)) 1)
(*.f64 (+.f64 -1 x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 -1 x) x) 1)
(*.f64 1 (/.f64 (+.f64 -1 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) (sqrt.f64 (/.f64 (+.f64 -1 x) x)))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (+.f64 -1 x))
(*.f64 (neg.f64 (+.f64 -1 x)) (/.f64 1 (neg.f64 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 (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 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))
(pow.f64 (/.f64 (+.f64 -1 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 -1 x)) -1)
(neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 2))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) x)))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) x)) 1)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (+.f64 -1 x) (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 -1 x) x) 1)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 1 (/.f64 (+.f64 -1 x) x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) (sqrt.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (sqrt.f64 (+.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (*.f64 (cbrt.f64 (+.f64 -1 x)) (/.f64 1 x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (/.f64 1 x) (+.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (neg.f64 (+.f64 -1 x)) (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 -1 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 -1 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 -1 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 x)) x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 -1 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 -1 x) x) 1)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) x)) 2)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) x)) 3)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 3) 1/3)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(pow.f64 (/.f64 x (+.f64 -1 x)) -1)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 2))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) x) 3))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 x) x)) 1))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) x)))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))

eval9.0ms (0.2%)

Compiler

Compiled 411 to 291 computations (29.2% saved)

prune9.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New40141
Fresh000
Picked011
Done077
Total40949
Error
0b
Counts
49 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) (-.f64 -1 x))
✓33.8b
(/.f64 (+.f64 -1 x) x)
✓0.5b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓29.8b
(/.f64 -1 (*.f64 x x))
✓33.0b
(/.f64 -1 x)
✓34.0b
(-.f64 (-.f64 1 x) (/.f64 1 x))
✓33.8b
(-.f64 1 (/.f64 1 x))
✓29.4b
(neg.f64 (pow.f64 x -2))
62.2b
1
Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes14.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
1
(/.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 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 (+.f64 (-.f64 1 x) x) (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
(neg.f64 (pow.f64 x -2))
Outputs
(/.f64 (/.f64 1 x) (-.f64 -1 x))
Calls

2 calls:

7.0ms
x
4.0ms
(-.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 88 to 62 computations (29.5% saved)

regimes12.0ms (0.3%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes15.0ms (0.4%)

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

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch32.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
1.8285539216363193e-9
492232363086171200.0
14.0ms
-111.10359424565567
-2.5225579963134704e-7
Results
27.0ms320×body256valid
Compiler

Compiled 334 to 251 computations (24.9% saved)

regimes13.0ms (0.4%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch38.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
1.8285539216363193e-9
492232363086171200.0
14.0ms
-111.10359424565567
-2.5225579963134704e-7
Results
34.0ms320×body256valid
Compiler

Compiled 294 to 211 computations (28.2% saved)

regimes12.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
1
(/.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:

11.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch31.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
1.8285539216363193e-9
492232363086171200.0
14.0ms
-111.10359424565567
-2.5225579963134704e-7
Results
28.0ms320×body256valid
Compiler

Compiled 294 to 231 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -29.1b remaining (-88.2%)

Threshold costs -29.1b (-88.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
33.0b1x
Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
12×sub-neg
6×if-if-or-not
6×*-commutative
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031205
151205
260205
364205
466205
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3/4) (/.f64 (+.f64 -1 x) x) (/.f64 -1 (*.f64 x x))))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3/4) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 x)
1
Outputs
(/.f64 (/.f64 1 x) (-.f64 -1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -1 (*.f64 x x)) (-.f64 (-.f64 1 x) (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -1 (*.f64 x x)) (+.f64 (-.f64 1 x) (/.f64 -1 x)))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3/4) (/.f64 (+.f64 -1 x) x) (/.f64 -1 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/4))) (/.f64 -1 (*.f64 x x)) (/.f64 (+.f64 x -1) x))
(if (<=.f64 x -1) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 3/4) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/4))) (/.f64 -1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/4))) (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(/.f64 -1 x)
1
Compiler

Compiled 84 to 62 computations (26.2% saved)

soundness162.0ms (4.5%)

Algorithm
2×egg-herbie
Rules
1276×associate-+r+
1248×associate-+l+
1050×+-commutative
806×associate-+l+
702×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05079657
114688803
257488743
04637274
113986448
262896402
Stop Event
1×node limit
1×node limit
Compiler

Compiled 87 to 59 computations (32.2% saved)

end49.0ms (1.4%)

Compiler

Compiled 78 to 54 computations (30.8% saved)

Profiling

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