Details

Time bar (total: 9.0s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.9s (21.6%)

Results
864.0ms4945×body256valid
685.0ms2027×body1024valid
274.0ms1060×body512valid
84.0ms224×body2048valid
Bogosity

preprocess81.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
948×fma-def
832×unswap-sqr
818×associate-+r+
660×associate-*r*
616×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01858
13158
24358
36158
410658
521758
652658
7149358
8358858
9507858
10731958
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 y) -2))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1968×times-frac
742×associate-*l/
634×associate--l-
606×*-commutative
584×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
12129
22729
33729
46229
512129
628829
776429
8185529
9338029
10620029
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

eval1.0ms (0%)

Compiler

Compiled 32 to 29 computations (9.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
28.5b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.5b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓3.3b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series3.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite154.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1144×associate-*r/
998×*-commutative
844×associate-*l/
548×distribute-lft-in
520×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01269
125669
2314369
Stop Event
1×node limit
Counts
3 → 214
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Outputs
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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))))

simplify217.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1312×associate-+l+
1298×associate-+r+
882×+-commutative
488×*-commutative
458×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054814400
1153413882
2580813702
Stop Event
1×node limit
Counts
234 → 358
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1))
(*.f64 (-.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))) (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (-.f64 1 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (-.f64 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2)) (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (-.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))) (+.f64 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2)) (-.f64 (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (*.f64 4 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))) (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))))
(/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))) (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)) (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))))
(/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1 (/.f64 2 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 -1 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1)) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))) (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) -1))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (/.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 1 (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))) (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x -4)) 1) (expm1.f64 (*.f64 -2 x)))
(/.f64 (-.f64 1 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4)))) (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (exp.f64 (*.f64 x -4)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) 3)) (*.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) (pow.f64 (exp.f64 -2) (*.f64 x 3))) (pow.f64 (exp.f64 -2) (*.f64 x 3))))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x -4)) 3)) (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (+.f64 (exp.f64 (*.f64 x -4)) (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) 1)) (expm1.f64 (*.f64 -2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))) 1) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) 1) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x -4)) 1) 1) (expm1.f64 (*.f64 -2 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4)))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (exp.f64 (*.f64 x -4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x -4)) 3)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (+.f64 (exp.f64 (*.f64 x -4)) (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (/.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))) (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) 3)) (/.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 -2) (*.f64 x 3)) (pow.f64 (exp.f64 -2) (*.f64 x 3))) (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x -4))) 1) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x -4))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x -4))) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) 1) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x -4)) 1) 1) (expm1.f64 (*.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x -4)) 1) (sqrt.f64 (expm1.f64 (*.f64 -2 x)))) (sqrt.f64 (expm1.f64 (*.f64 -2 x))))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x -4)) 1) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 -2 x))) (cbrt.f64 (expm1.f64 (*.f64 -2 x))))) (cbrt.f64 (expm1.f64 (*.f64 -2 x))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (sqrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 0)
(+.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) 1) (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (neg.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) 1) (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 (pow.f64 (exp.f64 -2) x) -1)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) 1) (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) 1) (*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (neg.f64 (cbrt.f64 (exp.f64 (*.f64 x -4)))))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)))) (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) 1))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))) (*.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))) (*.f64 (*.f64 (pow.f64 (exp.f64 -2) x) -1) (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))))
(+.f64 (*.f64 1 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (neg.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))))) (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4))))))
(+.f64 (*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (*.f64 (*.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))))
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (+.f64 1 (/.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (+.f64 1 (/.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))))
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(*.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 2 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 2 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -2)
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 (*.f64 x -4)) 1)) (expm1.f64 (*.f64 -2 x)))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(pow.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
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2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 2 (*.f64 x x) (fma.f64 x -2 2)) (*.f64 (pow.f64 x 3) -4/3))
1
(+.f64 1 x)
(+.f64 x 1)
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(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 x -4)))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (expm1.f64 (*.f64 x -4))))
(*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 2 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 x -4)))) (*.f64 2 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (expm1.f64 (*.f64 x -4))))
(*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (*.f64 2 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 2 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -2)
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (expm1.f64 (*.f64 x -4))))
(*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 2 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 (*.f64 x -4)) 1)) (expm1.f64 (*.f64 -2 x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (expm1.f64 (*.f64 x -4))))
(*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 -2) x)) (/.f64 2 (expm1.f64 (*.f64 x -4))))
(*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 2 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (sqrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (/.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (hypot.f64 1 (pow.f64 (exp.f64 -2) (/.f64 x 2/3))))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x -4))))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (*.f64 x -2)))) (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(cbrt.f64 (/.f64 -8 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))

eval312.0ms (3.5%)

Compiler

Compiled 10679 to 9546 computations (10.6% saved)

prune107.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3508358
Fresh000
Picked101
Done000
Total3518359
Error
0b
Counts
359 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶45.9b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
▶28.5b
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
▶59.2b
(-.f64 (+.f64 x 1) 1)
43.8b
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
32.1b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶31.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
30.9b
x
Compiler

Compiled 183 to 154 computations (15.8% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
✓3.3b
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
0.0ms
x
@-inf
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
0.0ms
x
@inf
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
0.0ms
x
@-inf
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
0.0ms
x
@0
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)

rewrite89.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1228×associate-*r/
1024×*-commutative
898×associate-*l/
546×distribute-lft-in
520×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
125752
2317052
Stop Event
1×node limit
Counts
2 → 136
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))))) 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simplify123.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1540×associate-*r/
1296×associate-*l/
1034×associate-+r+
916×associate-+l+
594×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038010964
1104610766
2373610652
Stop Event
1×node limit
Counts
160 → 242
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(+.f64 -1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
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(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3))) 1) (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))
(fma.f64 2 (/.f64 1 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(fma.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))) (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) -1)
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 0)
(+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1))
(+.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(+.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1) -1)
(+.f64 (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) 2) (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (neg.f64 (expm1.f64 (*.f64 x -2)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) 2) (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 (expm1.f64 (*.f64 x -2)) -1)))
(+.f64 (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) 2) (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2)))))))
(+.f64 (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) 2) (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 2)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (pow.f64 (exp.f64 x) -2))) (*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) 4) (*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))))
(+.f64 (*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) 4))
(+.f64 (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(+.f64 (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (*.f64 (*.f64 (expm1.f64 (*.f64 x -2)) -1) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(+.f64 (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (*.f64 (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))))) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(+.f64 (*.f64 2 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (*.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 2))) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(+.f64 (*.f64 (-.f64 2 (pow.f64 (exp.f64 x) -2)) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (*.f64 1 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(+.f64 (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (*.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))))
(+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (*.f64 4 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))))
(-.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1) 1)
(-.f64 (+.f64 1 (/.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)) (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1))) (/.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)))
(-.f64 (+.f64 1 (/.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)) (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))))
(*.f64 2 (/.f64 1 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 -2 (/.f64 1 (-.f64 -2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(*.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))) (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)
(*.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))) (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (/.f64 2 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 2 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (+.f64 8 (*.f64 2 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 (*.f64 x -2)))) -2)
(*.f64 (/.f64 2 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (neg.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2) 4)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(pow.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) 3)
(pow.f64 (*.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 1/2) -1)
(pow.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)) 1/3)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(+.f64 -1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(*.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1) 1)
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)) 2))
(+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) -1)
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(+.f64 1 (-.f64 (/.f64 8 (*.f64 (+.f64 (+.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))) (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3))) (/.f64 1 (+.f64 (+.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))))
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(+.f64 1 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3))) (+.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)) (+.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))))
(*.f64 2 (/.f64 1 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 -2 (/.f64 1 (-.f64 -2 (expm1.f64 (*.f64 x -2)))))
(/.f64 -2 (-.f64 -2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 1 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))) (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2))) (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))) (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(/.f64 (*.f64 2 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))
(*.f64 2 (/.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (/.f64 2 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 (/.f64 2 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (*.f64 2 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (+.f64 8 (*.f64 2 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(/.f64 (*.f64 2 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))
(*.f64 2 (/.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))))
(/.f64 (*.f64 2 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))
(*.f64 2 (/.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 (*.f64 x -2)))) -2)
(/.f64 -2 (-.f64 -2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 2 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (neg.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(/.f64 (*.f64 2 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))
(*.f64 2 (/.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2) 4)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 2 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (-.f64 2 (expm1.f64 (*.f64 x -2))))
(*.f64 2 (/.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))) (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2))))
(/.f64 (*.f64 2 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))
(*.f64 2 (/.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4) (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (sqrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))))) (sqrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))) (sqrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (sqrt.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4)))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))) (sqrt.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (cbrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2))) (cbrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (/.f64 (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))) (cbrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2))))))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (expm1.f64 (*.f64 x -2)) 2))))) (cbrt.f64 (-.f64 2 (expm1.f64 (*.f64 x -2)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (expm1.f64 (*.f64 x -2)) 2)))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2))) (cbrt.f64 (+.f64 4 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (expm1.f64 (*.f64 x -2)) -2)))))
(*.f64 (/.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (expm1.f64 (*.f64 x -2)) 3))))) (cbrt.f64 (fma.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -2 (expm1.f64 (*.f64 x -2))) 4)))
(pow.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) 2)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))) 3)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (*.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 1/2) -1)
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(pow.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 2 (expm1.f64 (*.f64 x -2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))))
(/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1280×add-sqr-sqrt
1264×*-un-lft-identity
1190×add-cube-cbrt
1182×add-cbrt-cube
1174×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11361
218601
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))))

simplify38.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1256×associate-/l*
1212×distribute-lft-in
1028×distribute-rgt-in
946×associate-/r*
850×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094323
1220293
21162293
Stop Event
1×node limit
Counts
53 → 44
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 (+.f64 x 1) -1)
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 x 1))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
x
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
x
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
x
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 x 1) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
x

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓3.3b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1172×associate-*r/
890×*-commutative
862×associate-*l/
508×distribute-lft-in
484×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122236
2279236
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (fma.f64 x -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (+.f64 1 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))) (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (-.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (+.f64 1 (/.f64 -2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (/.f64 -2 (fma.f64 x -2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (-.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))) (-.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 (pow.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) 3) (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 3))) (+.f64 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3))))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (cbrt.f64 (+.f64 2 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))))))

simplify107.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1422×associate-*r/
1344×associate-+l+
1254×associate-*l/
650×+-commutative
534×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03668164
110277744
238567658
Stop Event
1×node limit
Counts
152 → 260
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (+.f64 1 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))) (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (-.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (+.f64 1 (/.f64 -2 (fma.f64 x -2 2))))
(*.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (/.f64 -2 (fma.f64 x -2 2)))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (-.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))) (-.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 (pow.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) 3) (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 3))) (+.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (-.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))) (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))))
(/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))) (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))) (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))) (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))) (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))))
(/.f64 (-.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))))
(/.f64 (-.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) (*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))))
(/.f64 (-.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) 1) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 3) 1) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (+.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 3) 1) (*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (/.f64 -2 (fma.f64 x -2 2)))) (+.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) 3) 1) (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))) 1) (+.f64 -1 (neg.f64 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (+.f64 (neg.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1))) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))) 1) 1) (+.f64 -1 (neg.f64 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) 1) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) 1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) 3) 1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))) (+.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (*.f64 (fma.f64 x -2 2) 1/2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 3) 1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))) (+.f64 (*.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) 1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) 1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 -1 (neg.f64 (/.f64 2 (fma.f64 x -2 2))))))
(neg.f64 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)
(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(+.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(+.f64 0 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) -1)
(+.f64 (*.f64 (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))) 2) (*.f64 (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))) (*.f64 2 x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) 4) (*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (*.f64 4 x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (*.f64 4 x))) (*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) 4))
(+.f64 (*.f64 2 (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (*.f64 (*.f64 2 x) (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4)))))
(+.f64 (*.f64 4 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (*.f64 (*.f64 (+.f64 x 1) (*.f64 4 x)) (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))))
(+.f64 (*.f64 (*.f64 (+.f64 x 1) (*.f64 4 x)) (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (*.f64 4 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1)
(-.f64 (+.f64 1 (/.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(-.f64 (+.f64 1 (/.f64 8 (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (pow.f64 (fma.f64 x -2 2) 3)))) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(*.f64 2 (/.f64 1 (fma.f64 x -2 2)))
(*.f64 -2 (/.f64 -1 (fma.f64 x -2 2)))
(*.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (+.f64 2 (*.f64 2 x)) (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))))
(*.f64 (/.f64 1 (fma.f64 x -2 2)) 2)
(*.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))) (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -2 2))) (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x -2 2))))
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (*.f64 x x) -4))) (+.f64 4 (*.f64 4 x)))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (+.f64 8 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))) (+.f64 2 (*.f64 2 x)))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))))
(*.f64 (/.f64 -1 (fma.f64 x -2 2)) -2)
(*.f64 (/.f64 2 (+.f64 -4 (neg.f64 (*.f64 (*.f64 x x) -4)))) (+.f64 -2 (neg.f64 (*.f64 2 x))))
(*.f64 (/.f64 2 (+.f64 -8 (neg.f64 (*.f64 -8 (pow.f64 x 3))))) (+.f64 -4 (neg.f64 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (-.f64 (*.f64 x (*.f64 4 x)) 4)) (-.f64 (*.f64 x -2) 2))
(*.f64 (/.f64 -2 (+.f64 -4 (neg.f64 (*.f64 (*.f64 x x) -4)))) (+.f64 2 (*.f64 2 x)))
(*.f64 (/.f64 -2 (+.f64 -8 (neg.f64 (*.f64 -8 (pow.f64 x 3))))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (sqrt.f64 (+.f64 2 (*.f64 2 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (cbrt.f64 (+.f64 2 (*.f64 2 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 1/3)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (fma.f64 x x (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (fma.f64 x x (pow.f64 x 3))) (pow.f64 x 4))
(+.f64 x (+.f64 (fma.f64 x x (pow.f64 x 3)) (pow.f64 x 4)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (*.f64 x x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (*.f64 x x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (+.f64 x (*.f64 x x)) 1)
(+.f64 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x) 1)
(+.f64 (+.f64 x (fma.f64 x x (pow.f64 x 3))) 1)
(+.f64 x (+.f64 1 (fma.f64 x x (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
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(+.f64 1 (/.f64 (+.f64 -1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))) (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))
(-.f64 (+.f64 1 (/.f64 8 (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))) (pow.f64 (fma.f64 x -2 2) 3)))) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (+.f64 1 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(+.f64 1 (-.f64 (/.f64 8 (*.f64 (pow.f64 (fma.f64 x -2 2) 3) (+.f64 (+.f64 1 (/.f64 2 (fma.f64 x -2 2))) (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))) (/.f64 1 (+.f64 (+.f64 1 (/.f64 2 (fma.f64 x -2 2))) (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(+.f64 (/.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x -2 2))))) (-.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))))
(+.f64 1 (/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3))) (+.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2))))))
(*.f64 2 (/.f64 1 (fma.f64 x -2 2)))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 -2 (/.f64 -1 (fma.f64 x -2 2)))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 1 (/.f64 2 (fma.f64 x -2 2)))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (+.f64 2 (*.f64 2 x)) (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))))
(/.f64 (*.f64 (+.f64 2 (*.f64 x 2)) 2) (+.f64 4 (*.f64 (*.f64 x x) -4)))
(/.f64 (fma.f64 x 4 4) (fma.f64 x (*.f64 x -4) 4))
(*.f64 (/.f64 1 (fma.f64 x -2 2)) 2)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))) (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 x 4))))
(/.f64 (fma.f64 (fma.f64 x 2 2) (*.f64 x 4) 8) (fma.f64 (pow.f64 x 3) -8 8))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (fma.f64 x 4 4) x 4))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -2 2))) (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))))
(/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (fma.f64 x -2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x -2 2))))
(/.f64 (/.f64 2 (cbrt.f64 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2))
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (*.f64 x x) -4))) (+.f64 4 (*.f64 4 x)))
(/.f64 (*.f64 (+.f64 2 (*.f64 x 2)) 2) (+.f64 4 (*.f64 (*.f64 x x) -4)))
(/.f64 (fma.f64 x 4 4) (fma.f64 x (*.f64 x -4) 4))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (+.f64 8 (*.f64 2 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 x 4))))
(/.f64 (fma.f64 (fma.f64 x 2 2) (*.f64 x 4) 8) (fma.f64 (pow.f64 x 3) -8 8))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (fma.f64 x 4 4) x 4))
(*.f64 (/.f64 2 (+.f64 4 (*.f64 (*.f64 x x) -4))) (+.f64 2 (*.f64 2 x)))
(/.f64 (*.f64 (+.f64 2 (*.f64 x 2)) 2) (+.f64 4 (*.f64 (*.f64 x x) -4)))
(/.f64 (fma.f64 x 4 4) (fma.f64 x (*.f64 x -4) 4))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 -8 (pow.f64 x 3)))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 x 4))))
(/.f64 (fma.f64 (fma.f64 x 2 2) (*.f64 x 4) 8) (fma.f64 (pow.f64 x 3) -8 8))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (fma.f64 x 4 4) x 4))
(*.f64 (/.f64 -1 (fma.f64 x -2 2)) -2)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (/.f64 2 (+.f64 -4 (neg.f64 (*.f64 (*.f64 x x) -4)))) (+.f64 -2 (neg.f64 (*.f64 2 x))))
(/.f64 (*.f64 2 (fma.f64 x -2 -2)) (+.f64 -4 (*.f64 (*.f64 x x) 4)))
(/.f64 -2 (/.f64 (fma.f64 x (*.f64 x 4) -4) (fma.f64 x 2 2)))
(*.f64 (fma.f64 x 2 2) (/.f64 -2 (fma.f64 x (*.f64 x 4) -4)))
(*.f64 (/.f64 2 (+.f64 -8 (neg.f64 (*.f64 -8 (pow.f64 x 3))))) (+.f64 -4 (neg.f64 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (+.f64 -8 (*.f64 8 (pow.f64 x 3)))) (-.f64 -4 (*.f64 (+.f64 x 1) (*.f64 x 4))))
(/.f64 2 (/.f64 (fma.f64 8 (pow.f64 x 3) -8) (fma.f64 (+.f64 x 1) (*.f64 x -4) -4)))
(*.f64 (fma.f64 (fma.f64 x 4 4) x 4) (/.f64 -2 (fma.f64 8 (pow.f64 x 3) -8)))
(*.f64 (/.f64 2 (-.f64 (*.f64 x (*.f64 4 x)) 4)) (-.f64 (*.f64 x -2) 2))
(/.f64 (*.f64 2 (fma.f64 x -2 -2)) (+.f64 -4 (*.f64 (*.f64 x x) 4)))
(/.f64 -2 (/.f64 (fma.f64 x (*.f64 x 4) -4) (fma.f64 x 2 2)))
(*.f64 (fma.f64 x 2 2) (/.f64 -2 (fma.f64 x (*.f64 x 4) -4)))
(*.f64 (/.f64 -2 (+.f64 -4 (neg.f64 (*.f64 (*.f64 x x) -4)))) (+.f64 2 (*.f64 2 x)))
(/.f64 (*.f64 2 (fma.f64 x -2 -2)) (+.f64 -4 (*.f64 (*.f64 x x) 4)))
(/.f64 -2 (/.f64 (fma.f64 x (*.f64 x 4) -4) (fma.f64 x 2 2)))
(*.f64 (fma.f64 x 2 2) (/.f64 -2 (fma.f64 x (*.f64 x 4) -4)))
(*.f64 (/.f64 -2 (+.f64 -8 (neg.f64 (*.f64 -8 (pow.f64 x 3))))) (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x))))
(*.f64 (/.f64 2 (+.f64 -8 (*.f64 8 (pow.f64 x 3)))) (-.f64 -4 (*.f64 (+.f64 x 1) (*.f64 x 4))))
(/.f64 2 (/.f64 (fma.f64 8 (pow.f64 x 3) -8) (fma.f64 (+.f64 x 1) (*.f64 x -4) -4)))
(*.f64 (fma.f64 (fma.f64 x 4 4) x 4) (/.f64 -2 (fma.f64 8 (pow.f64 x 3) -8)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (sqrt.f64 (+.f64 2 (*.f64 2 x))))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4))) (sqrt.f64 (fma.f64 x -2 2)))) (sqrt.f64 (+.f64 2 (*.f64 x 2))))
(/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 4)) (sqrt.f64 (fma.f64 x 2 2))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (fma.f64 x (*.f64 x -4) 4))) (sqrt.f64 (fma.f64 x 2 2)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (sqrt.f64 (fma.f64 x -2 2)))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 x 4)))))
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (fma.f64 x -2 2)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 8)))) (sqrt.f64 (fma.f64 (fma.f64 x 4 4) x 4)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 x -2 2))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 8))) (sqrt.f64 (fma.f64 (fma.f64 x 4 4) x 4)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (cbrt.f64 (+.f64 2 (*.f64 2 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 x x) -4)))) (cbrt.f64 (+.f64 2 (*.f64 x 2))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -4) 4)) (cbrt.f64 (fma.f64 x 2 2))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -4) 4))) (cbrt.f64 (fma.f64 x 2 2)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 4 x)))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -8))) (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 x 1) (*.f64 x 4)))))
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (fma.f64 (pow.f64 x 3) -8 8))) (pow.f64 (cbrt.f64 (fma.f64 x -2 2)) 2)) (cbrt.f64 (fma.f64 (fma.f64 x 4 4) x 4)))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 2 (fma.f64 x -2 2))
(cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 x -2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓0.1b
(*.f64 -1/3 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -1/3 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -1/3 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1736×add-sqr-sqrt
1702×*-un-lft-identity
1612×add-cube-cbrt
1600×add-cbrt-cube
166×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
118028
2216828
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
828×associate-*r/
676×associate-*l/
648×+-commutative
606×associate--r+
558×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191289
12861239
211571171
352241171
Stop Event
1×node limit
Counts
53 → 57
Calls
Call 1
Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (+.f64 x (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
✓0.1b
(*.f64 2/15 (pow.f64 x 5))
0.1b
(*.f64 -1/3 (pow.f64 x 3))
✓19.1b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series3.0ms (0%)

Counts
3 → 19
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@0
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
0.0ms
x
@-inf
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@0
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))

rewrite106.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1170×associate-*r/
1000×distribute-rgt-in
966×distribute-lft-in
838×associate-*l/
296×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
130057
2376057
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 1 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) 1/9)) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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(pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 6) 1/9)) (*.f64 (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/9) 3) (pow.f64 (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (*.f64 (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))) (*.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) (/.f64 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5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x 10))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))))))

simplify156.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1212×+-commutative
792×associate-/l*
782×associate-*r*
682×associate-*l*
580×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050614821
1147913339
2775913339
Stop Event
1×node limit
Counts
209 → 285
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 1 (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) 1/9)) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(-.f64 (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)))
(-.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 4/225 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4/225 (pow.f64 x 10)) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (+.f64 (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 4/225 (pow.f64 x 10))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) 3)) (/.f64 1 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (+.f64 (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) 1) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) 1) (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 2/15 x)
(fma.f64 1 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x 10))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 1 (fma.f64 2/15 (pow.f64 x 5) x)))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) 1/9)) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1/9) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 4/225 (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15))))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (*.f64 4/225 (pow.f64 x 10)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) x)))
(+.f64 (-.f64 (/.f64 4/225 (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15))))
(-.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 1 (fma.f64 2/15 (pow.f64 x 5) x)))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(-.f64 (+.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1/9) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) 1/9) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))
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(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3))) 1) (neg.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))))
(/.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (/.f64 (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (sqrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (sqrt.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (/.f64 (sqrt.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (cbrt.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (/.f64 (cbrt.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 4/225 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 16/50625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 16/50625 (pow.f64 x 20)) (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4/225 (pow.f64 x 10)) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (+.f64 (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 4/225 (pow.f64 x 10))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 64/11390625 (pow.f64 (pow.f64 x 10) 3)) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (+.f64 (*.f64 16/50625 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 (*.f64 x x) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (fma.f64 (*.f64 x x) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x x)) (*.f64 16/50625 (pow.f64 x 20)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))) (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))) (-.f64 (*.f64 8/3375 (pow.f64 (pow.f64 x 5) 3)) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) 3)) (/.f64 1 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (+.f64 (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) 3)) (*.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))) (-.f64 (+.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (*.f64 512/38443359375 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3))) (*.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 6)) (*.f64 (pow.f64 x 3) (*.f64 -8/3375 (pow.f64 (pow.f64 x 5) 3))))))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) 1) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(-.f64 (/.f64 4/225 (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15)))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (sqrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (/.f64 4/225 (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15)))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))) (cbrt.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (/.f64 4/225 (/.f64 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (+.f64 x (*.f64 (pow.f64 x 5) -2/15)))
(/.f64 (/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 2/15) (pow.f64 x 5/2) (neg.f64 (sqrt.f64 x))) (fma.f64 (sqrt.f64 2/15) (pow.f64 x 5/2) (sqrt.f64 x))))
(/.f64 (/.f64 (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (neg.f64 x))) (fma.f64 (sqrt.f64 2/15) (pow.f64 x 5/2) (sqrt.f64 x))) (-.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) 1) (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))))
(/.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))))
(/.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (fma.f64 4/225 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))))))
(/.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 4/225 (pow.f64 x 10))))
(pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 3)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 2/15 (pow.f64 x 5) x)
(sqrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))
(fabs.f64 (fma.f64 2/15 (pow.f64 x 5) x))
(log.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 2/15 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))
(fma.f64 2/15 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 1))
(fma.f64 2/15 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 2/15 x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) x)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2) x)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x 10))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)

eval621.0ms (6.9%)

Compiler

Compiled 26591 to 22326 computations (16% saved)

prune254.0ms (2.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New8965901
Fresh033
Picked011
Done134
Total89712909
Error
0b
Counts
909 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.4b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
▶31.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓28.5b
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
✓59.2b
(-.f64 (+.f64 x 1) 1)
▶43.8b
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
32.1b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓31.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶59.2b
(+.f64 1 (+.f64 x -1))
▶31.5b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
30.9b
x
47.2b
-1
Compiler

Compiled 209 to 169 computations (19.1% saved)

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(/.f64 1 (+.f64 x 2))
✓15.2b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1984×add-sqr-sqrt
1958×*-un-lft-identity
1840×add-cube-cbrt
1814×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119551
2250351
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))))

simplify58.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1770×associate-*l/
1124×associate-/l/
888×distribute-lft-in
860×distribute-rgt-in
708×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01911395
14641343
218701343
Stop Event
1×node limit
Counts
107 → 118
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
(pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) 1)
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) -2)))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))
(pow.f64 (+.f64 x 2) -1)
(pow.f64 (/.f64 1 (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x -1/4 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1/2 (*.f64 x -1/4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)) (/.f64 -8 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)) (/.f64 -8 (pow.f64 x 4))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))) 1)
x
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
x
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
x
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
x
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
x
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
x
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 (neg.f64 x) -2))
x
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (/.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (/.f64 x (+.f64 x 2)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x 2)) x) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (/.f64 x (+.f64 x 2)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 x 2)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 (neg.f64 x) -2))
x
(pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)
x
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)
x
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)
x
(pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)
x
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))
x
(log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))
x
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))
x
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1))
x
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 2)))) 1)
(/.f64 1 (+.f64 x 2))
(*.f64 1 (/.f64 1 (+.f64 x 2)))
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) 1)
(/.f64 1 (+.f64 x 2))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) -2)))
(/.f64 -1 (+.f64 (neg.f64 x) -2))
(/.f64 -1 (-.f64 -2 x))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x x -4)))
(/.f64 (+.f64 x -2) (fma.f64 x x -4))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x 3) 8)))
(/.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) (+.f64 (pow.f64 x 3) 8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 x 2)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))
(/.f64 1 (+.f64 x 2))
(pow.f64 (+.f64 x 2) -1)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (+.f64 x 2)) 1)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)
(/.f64 1 (+.f64 x 2))
(sqrt.f64 (pow.f64 (+.f64 x 2) -2))
(/.f64 1 (+.f64 x 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))
(/.f64 1 (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 2)))))
(/.f64 1 (+.f64 x 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))
(/.f64 1 (+.f64 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))
(/.f64 1 (+.f64 x 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))
(/.f64 1 (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) -1))
(/.f64 1 (+.f64 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 2))) 1))
(/.f64 1 (+.f64 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))
(/.f64 1 (+.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (+.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 x 2))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) x)
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (+.f64 (pow.f64 x 3) 8)))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) x)
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (+.f64 (pow.f64 x 3) 8)))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite95.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1596×add-sqr-sqrt
1580×*-un-lft-identity
1478×add-cube-cbrt
1468×add-cbrt-cube
146×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11527
219277
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)))))

simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1366×associate-*r*
1128×associate-*l*
842×associate--l-
762×associate--r-
726×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090654
1249568
21071530
36829530
Stop Event
1×node limit
Counts
46 → 45
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(*.f64 1 (+.f64 x 0))
(*.f64 (+.f64 x 0) 1)
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(pow.f64 (+.f64 x 0) 1)
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
(log.f64 (exp.f64 (+.f64 x 0)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
(expm1.f64 (log1p.f64 (+.f64 x 0)))
(exp.f64 (log1p.f64 (+.f64 x -1)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
x
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(*.f64 1 (+.f64 x 0))
x
(*.f64 (+.f64 x 0) 1)
x
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
x
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
x
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
x
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1) (+.f64 1 (-.f64 x -1)))
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
(*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1 (*.f64 -1 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 x (/.f64 (+.f64 x -2) (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(pow.f64 (+.f64 x 0) 1)
x
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
x
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
x
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
x
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
x
(log.f64 (exp.f64 (+.f64 x 0)))
x
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
x
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
x
(expm1.f64 (log1p.f64 (+.f64 x 0)))
x
(exp.f64 (log1p.f64 (+.f64 x -1)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1)) 1))
(exp.f64 (log1p.f64 (+.f64 x -1)))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
x
(fma.f64 1 (+.f64 x -1) 1)
x
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
x

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.0b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1138×add-sqr-sqrt
1118×*-un-lft-identity
1066×add-cube-cbrt
1058×add-cbrt-cube
1052×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081
11941
221331
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 0)))))

simplify68.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1130×associate-+l-
1054×unswap-sqr
1038×associate-+r-
654×distribute-lft-in
614×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098342
1241312
21614312
36541312
Stop Event
1×node limit
Counts
58 → 52
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 0 x)
(-.f64 x 0)
(-.f64 x (/.f64 0 (*.f64 x x)))
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x x) (/.f64 1 x))
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 x x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (pow.f64 x 3) 1/3)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 (*.f64 x x) (/.f64 1 x) 0)
(fma.f64 1 x 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 0)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(-.f64 x 0)
x
(-.f64 x (/.f64 0 (*.f64 x x)))
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(*.f64 x (*.f64 x (/.f64 1 x)))
x
(*.f64 (*.f64 x x) (/.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))
x
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(*.f64 (/.f64 1 x) (*.f64 x x))
x
(*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))
x
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
x
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))
x
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
x
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 x 1) (/.f64 x x))
x
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)
x
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 x))
x
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) x))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 (*.f64 x x) (/.f64 1 x) 0)
x
(fma.f64 1 x 0)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 0)
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 2) x)
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓15.2b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1988×add-sqr-sqrt
1962×*-un-lft-identity
1852×add-cube-cbrt
1830×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0956
12008
228018
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (*.f64 x (+.f64 (neg.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 (neg.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (*.f64 x (+.f64 (neg.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify96.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
590×associate-*r*
498×associate-*l*
490×times-frac
474×distribute-lft-neg-in
464×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0208561
1563555
23916555
Stop Event
1×node limit
Counts
109 → 92
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))
(*.f64 (/.f64 1 x) 1)
(*.f64 1 (/.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (*.f64 x (+.f64 (neg.f64 x) -2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (/.f64 1 x)))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 (neg.f64 x) -2))))
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (*.f64 x (+.f64 (neg.f64 x) -2)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(/.f64 1 x)
(*.f64 (+.f64 x 2) (/.f64 (/.f64 1 x) (+.f64 x 2)))
(/.f64 1 x)
(*.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(*.f64 1 (/.f64 1 x))
(/.f64 1 x)
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (/.f64 1 x) (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))
(/.f64 1 x)
(*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))
(/.f64 1 x)
(*.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 x)
(*.f64 (+.f64 (neg.f64 x) -2) (/.f64 1 (*.f64 x (+.f64 (neg.f64 x) -2))))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)))
(pow.f64 x -1)
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(/.f64 1 x)
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
(/.f64 1 x)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(/.f64 1 x)
(neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 (neg.f64 x) -2))))
(/.f64 1 x)
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(sqrt.f64 (/.f64 1 (*.f64 x x)))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 1 x)))
(/.f64 1 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(/.f64 1 x)
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(/.f64 1 x)
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(/.f64 1 x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(/.f64 1 x)
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(/.f64 1 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 x 1)
x
(*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))
x
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 x 2)) -1))
x
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)
x
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))
x
(*.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))
x
(*.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 1 (+.f64 (neg.f64 x) -2)) (*.f64 x (+.f64 (neg.f64 x) -2)))
x
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x 2))) (+.f64 x -2))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (*.f64 (/.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 x 2)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))
x
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x 2))) (log.f64 (+.f64 x 2))))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
✓3.3b
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
Compiler

Compiled 54 to 43 computations (20.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
1.0ms
x
@-inf
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
0.0ms
x
@0
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
0.0ms
x
@0
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
0.0ms
x
@inf
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))

rewrite108.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1512×associate-*r/
1236×associate-*l/
956×associate-/r*
670×associate-/l*
304×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562
130962
2367662
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) (sqrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify145.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1646×unswap-sqr
1146×associate-/r*
686×associate-/l/
550×associate-/r/
450×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03399889
19139571
234479549
Stop Event
1×node limit
Counts
139 → 192
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
1/2
(+.f64 (*.f64 1/2 x) 1/2)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/15 (pow.f64 x 5)) 1/2)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(+.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) -1)
(+.f64 -1 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))))
(*.f64 1 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1))
(*.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 1)
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) 3) 1) (/.f64 1 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4)) (+.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3) (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)) 1) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))) (+.f64 1 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3) 3) 1) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))) (+.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3) (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)) (+.f64 1 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3) 1))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) -1) 1) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) -1) (sqrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))) (sqrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) -1) (*.f64 (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)) (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))) (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)) 1) (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2) 4) (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1))))
(pow.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1))))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1) 3))
(expm1.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))))))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)))
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2 -1)
(fma.f64 1 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))))) (sqrt.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))))) 2) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -4))) (/.f64 1 (expm1.f64 (*.f64 x -4))))
(*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 1 (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)
(*.f64 1 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (/.f64 1 (expm1.f64 (*.f64 x -4)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (/.f64 1 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 x -4))) (expm1.f64 (*.f64 x -2)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (/.f64 -1 (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 x -4)))) (/.f64 (expm1.f64 (*.f64 x -2)) (sqrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (/.f64 (expm1.f64 (*.f64 x -2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 -1 (expm1.f64 (*.f64 x -4))) (neg.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))) (sqrt.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (sqrt.f64 (expm1.f64 (*.f64 x -4)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (sqrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (expm1.f64 (*.f64 x -4))) (cbrt.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1)) (+.f64 1 (exp.f64 (*.f64 x -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (pow.f64 (exp.f64 (*.f64 x -4)) 3) 1)) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1) (*.f64 (exp.f64 (*.f64 x -4)) 1)))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 (*.f64 x -4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (cbrt.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) 1) (-.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1)) (+.f64 1 (exp.f64 (*.f64 x -4))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) 1) (-.f64 (pow.f64 (exp.f64 (*.f64 x -4)) 3) 1)) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1) (*.f64 (exp.f64 (*.f64 x -4)) 1)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (*.f64 x -2))) -1)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (neg.f64 (expm1.f64 (*.f64 x -4)))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
(-.f64 (*.f64 2 (/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))) 1)
(fma.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) -1)
(fma.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (expm1.f64 (*.f64 x -4))) -1)
1/2
(+.f64 (*.f64 1/2 x) 1/2)
(fma.f64 1/2 x 1/2)
(fma.f64 x 1/2 1/2)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 1/2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 x 1/2))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x 1/2 1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/15 (pow.f64 x 5)) 1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/15 (pow.f64 x 5) 1/2)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/15 1/2)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(/.f64 (-.f64 (exp.f64 (*.f64 -2 x)) 1) (-.f64 (exp.f64 (*.f64 -4 x)) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
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(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (/.f64 1 (expm1.f64 (*.f64 x -4)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 1) (expm1.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 x -4))) (expm1.f64 (*.f64 x -2)))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (/.f64 -1 (expm1.f64 (*.f64 x -4))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 x -4)))) (/.f64 (expm1.f64 (*.f64 x -2)) (sqrt.f64 (expm1.f64 (*.f64 x -4)))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (sqrt.f64 (expm1.f64 (*.f64 x -4)))) (sqrt.f64 (expm1.f64 (*.f64 x -4))))
(/.f64 (expm1.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (expm1.f64 (*.f64 x -4))) (sqrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (/.f64 (expm1.f64 (*.f64 x -2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2)))
(/.f64 (expm1.f64 (*.f64 x -2)) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 -1 (expm1.f64 (*.f64 x -4))) (neg.f64 (expm1.f64 (*.f64 x -2))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))) (sqrt.f64 (expm1.f64 (*.f64 x -2))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 x -2))) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (/.f64 (expm1.f64 (*.f64 x -2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2)))
(/.f64 (expm1.f64 (*.f64 x -2)) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2)) (cbrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 1) (expm1.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (sqrt.f64 (expm1.f64 (*.f64 x -4)))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (sqrt.f64 (expm1.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -4)) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (expm1.f64 (*.f64 x -4))) (cbrt.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 1) (expm1.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1)) (+.f64 1 (exp.f64 (*.f64 x -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (fma.f64 (pow.f64 (exp.f64 x) -4) (pow.f64 (exp.f64 x) -4) -1)) (+.f64 1 (pow.f64 (exp.f64 x) -4)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -8))) (+.f64 1 (pow.f64 (exp.f64 x) -4)))
(/.f64 (expm1.f64 (*.f64 x -2)) (/.f64 (expm1.f64 (*.f64 x -8)) (+.f64 1 (exp.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 (pow.f64 (exp.f64 (*.f64 x -4)) 3) 1)) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1) (*.f64 (exp.f64 (*.f64 x -4)) 1)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (pow.f64 (exp.f64 x) -4) (+.f64 1 (exp.f64 (+.f64 (*.f64 x -4) (*.f64 x -4)))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) -4) 3) -1))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) -4) 3))) (+.f64 (pow.f64 (exp.f64 x) -8) (+.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -1 (exp.f64 (*.f64 x -12)))) (+.f64 1 (+.f64 (exp.f64 (*.f64 x -4)) (pow.f64 (exp.f64 x) -8))))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 (*.f64 x -4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)))) (cbrt.f64 (expm1.f64 (*.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) 1) (expm1.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x -2)) 2)) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x -2))) (expm1.f64 (*.f64 x -4))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) 1) (-.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1)) (+.f64 1 (exp.f64 (*.f64 x -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (fma.f64 (pow.f64 (exp.f64 x) -4) (pow.f64 (exp.f64 x) -4) -1)) (+.f64 1 (pow.f64 (exp.f64 x) -4)))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -8))) (+.f64 1 (pow.f64 (exp.f64 x) -4)))
(/.f64 (expm1.f64 (*.f64 x -2)) (/.f64 (expm1.f64 (*.f64 x -8)) (+.f64 1 (exp.f64 (*.f64 x -4)))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 x -2)) 1) (-.f64 (pow.f64 (exp.f64 (*.f64 x -4)) 3) 1)) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x -4)) (exp.f64 (*.f64 x -4))) 1) (*.f64 (exp.f64 (*.f64 x -4)) 1)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x -2)) (+.f64 (pow.f64 (exp.f64 x) -4) (+.f64 1 (exp.f64 (+.f64 (*.f64 x -4) (*.f64 x -4)))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) -4) 3) -1))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) -4) 3))) (+.f64 (pow.f64 (exp.f64 x) -8) (+.f64 1 (pow.f64 (exp.f64 x) -4))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (+.f64 -1 (exp.f64 (*.f64 x -12)))) (+.f64 1 (+.f64 (exp.f64 (*.f64 x -4)) (pow.f64 (exp.f64 x) -8))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 1)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 2)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 3)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 3) 1/3)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (*.f64 x -2))) -1)
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (neg.f64 (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 2))
(fabs.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4))) 3))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))))
(/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))

eval286.0ms (3.2%)

Compiler

Compiled 11103 to 8960 computations (19.3% saved)

prune107.0ms (1.2%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New5236529
Fresh033
Picked011
Done358
Total52615541
Error
0b
Counts
541 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
59.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
▶31.0b
(/.f64 1 (/.f64 1 x))
✓28.5b
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
✓59.2b
(-.f64 (+.f64 x 1) 1)
✓43.8b
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
32.1b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓31.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓59.2b
(+.f64 1 (+.f64 x -1))
▶44.4b
(*.f64 (/.f64 1 x) (*.f64 x x))
▶32.4b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
▶29.8b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
▶30.9b
(*.f64 x (*.f64 x (/.f64 1 x)))
30.9b
x
47.2b
-1
Compiler

Compiled 245 to 196 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 2))
✓0.1b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1932×add-sqr-sqrt
1906×*-un-lft-identity
1790×add-cube-cbrt
1770×add-cbrt-cube
182×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
119419
2244819
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))))

simplify53.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1902×distribute-lft-in
1398×associate-/r/
1062×associate-*r*
998×associate-*l*
630×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099777
1243777
2786777
34715777
Stop Event
1×node limit
Counts
37 → 55
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))) 1)
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 2))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 16 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (-.f64 (/.f64 -16 (pow.f64 x 3)) (/.f64 4 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 16 (pow.f64 x 3))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (-.f64 (/.f64 -16 (pow.f64 x 3)) (/.f64 4 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))) 1)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (+.f64 x 2)))
(/.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(/.f64 (*.f64 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(/.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(/.f64 x (/.f64 (-.f64 -2 x) -2))
(*.f64 (/.f64 x (-.f64 -2 x)) -2)
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 2)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 3)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 2))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2))))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(/.f64 x (+.f64 1 (*.f64 1/2 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1182×associate-*r*
908×add-sqr-sqrt
892×*-un-lft-identity
842×pow1
832×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11251
212271
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify45.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1228×associate-*r/
1178×associate-/r*
952×associate-*l/
916×associate-/l*
850×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096273
1241231
2805223
33088223
Stop Event
1×node limit
Counts
49 → 48
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (neg.f64 x) -1)
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
x
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
x
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
x
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
x
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
x
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
x
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 12 computations (36.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1056×associate-*r*
868×add-sqr-sqrt
852×*-un-lft-identity
806×pow1
794×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11231
211491
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify88.0ms (1%)

Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1513
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.2b
(*.f64 (/.f64 1 x) (*.f64 x x))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite241.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1080×add-sqr-sqrt
1062×*-un-lft-identity
998×pow1
992×add-cube-cbrt
976×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11411
217661
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify42.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1600×associate-*l*
1248×*-commutative
1188×associate-*r/
960×associate-/r/
924×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06387
114087
284875
3703575
Stop Event
1×node limit
Counts
39 → 30
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 x (*.f64 x x)))
(/.f64 x 1)
(/.f64 (*.f64 x x) x)
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x x) 1) x)
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 1 (/.f64 x (*.f64 x x)))
x
(/.f64 x 1)
x
(/.f64 (*.f64 x x) x)
x
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))
x
(/.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) 1) x)
x
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
x
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
0.0ms
x
@-inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
0.0ms
x
@0
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))

rewrite128.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1630×associate-*r/
1328×associate-*l/
924×distribute-lft-in
256×add-sqr-sqrt
242×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01131
125127
2328927
Stop Event
1×node limit
Counts
1 → 111
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (+.f64 1 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 2) (*.f64 1/2 x)) (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)) (*.f64 (+.f64 x 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (fma.f64 x -1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (*.f64 x (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) 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(2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))))))

simplify291.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1562×associate-*l/
1060×associate-/l*
606×associate-*r*
594×distribute-lft-neg-in
586×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03246727
19396099
248606043
Stop Event
1×node limit
Counts
123 → 161
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(+.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (+.f64 1 (*.f64 1/2 x))))
(+.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 1/2 x)) (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)) (*.f64 (+.f64 x 2) (*.f64 1/2 x)))
(+.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)))
(+.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))
(+.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 1 (+.f64 x 2)))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (*.f64 x (fma.f64 x -1/4 1/2))))
(/.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (/.f64 (+.f64 1/2 (*.f64 1/4 x)) (*.f64 x (+.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (*.f64 x (fma.f64 x -1/4 1/2))))
(/.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))) (*.f64 x (+.f64 x 2))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))) (-.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))
(/.f64 (*.f64 (+.f64 x 2) (*.f64 x (-.f64 1/4 (*.f64 1/16 (*.f64 x x))))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (+.f64 x 2) (*.f64 x (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 (*.f64 1/16 (*.f64 x x)) 1/4)) (-.f64 (*.f64 x -1/4) 1/2))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (neg.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))))) (neg.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (neg.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x (fma.f64 x x -4))) (+.f64 x -2))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x (+.f64 8 (pow.f64 x 3)))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 (fma.f64 x x -4) x)) (+.f64 x -2))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 (+.f64 8 (pow.f64 x 3)) x)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 1 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x))))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 1 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2)))) (+.f64 x -2))
(/.f64 (*.f64 1 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2)))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2)))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 1 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2)))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))) (-.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3))) (+.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 1) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (-.f64 4 (*.f64 x x))) (-.f64 2 x))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (neg.f64 (fma.f64 x x -4))) (neg.f64 (+.f64 x -2)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (neg.f64 (+.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (fma.f64 x -1/4 1/2))) (sqrt.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 x x)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 2 x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -4)) (*.f64 x (fma.f64 x -1/4 1/2))) (neg.f64 (+.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (+.f64 8 (pow.f64 x 3))) (*.f64 x (fma.f64 x -1/4 1/2))) (neg.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x x -4)) (fma.f64 x -1/4 1/2)) (+.f64 x -2))
(/.f64 (*.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x -1/4 1/2)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x -4) x) (fma.f64 x -1/4 1/2)) (+.f64 x -2))
(/.f64 (*.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x -1/4 1/2)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/16 (*.f64 x x)) 1/4) (*.f64 x (+.f64 x 2))) (-.f64 (*.f64 x -1/4) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (*.f64 x (+.f64 x 2))) (neg.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (*.f64 x (+.f64 x 2))) (neg.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) 1) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (+.f64 x -2))
(/.f64 (*.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))) 1) (-.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3)) 1) (+.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (+.f64 1 (*.f64 1/2 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -4)) (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2)))) (sqrt.f64 (+.f64 x -2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2)))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (fma.f64 x -1/4 1/2)) (*.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (+.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (+.f64 x 2)) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) 1) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (+.f64 x -2))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (*.f64 (cbrt.f64 (+.f64 x -2)) (cbrt.f64 (+.f64 x -2)))) (cbrt.f64 (+.f64 x -2)))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))) (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
Outputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) (+.f64 1 (*.f64 x 1/2))))
(*.f64 x (fma.f64 (*.f64 x -1/4) (+.f64 x 2) (fma.f64 x 1/2 1)))
(+.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 x (+.f64 1 (*.f64 1/2 x))))
(*.f64 x (+.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) (+.f64 1 (*.f64 x 1/2))))
(*.f64 x (fma.f64 (*.f64 x -1/4) (+.f64 x 2) (fma.f64 x 1/2 1)))
(+.f64 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(*.f64 x (+.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) (+.f64 1 (*.f64 x 1/2))))
(*.f64 x (fma.f64 (*.f64 x -1/4) (+.f64 x 2) (fma.f64 x 1/2 1)))
(+.f64 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1) (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1))
(*.f64 x (+.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) (+.f64 1 (*.f64 x 1/2))))
(*.f64 x (fma.f64 (*.f64 x -1/4) (+.f64 x 2) (fma.f64 x 1/2 1)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 1/2 x)) (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 (*.f64 x -1/4) x)) (*.f64 (+.f64 x 2) (*.f64 1/2 x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x 2)) (*.f64 (fma.f64 x -1/4 1/2) (*.f64 x x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (+.f64 1 (*.f64 1/2 x))) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1)))
(*.f64 x (+.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) (+.f64 1 (*.f64 x 1/2))))
(*.f64 x (fma.f64 (*.f64 x -1/4) (+.f64 x 2) (fma.f64 x 1/2 1)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2) (*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) x))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (fma.f64 x -1/4 1/2)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (*.f64 x (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (/.f64 (+.f64 1/2 (*.f64 1/4 x)) (*.f64 x (+.f64 x 2))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (*.f64 x (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (fma.f64 x 8 (pow.f64 x 4))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))) (*.f64 x (+.f64 x 2))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 1/16 (*.f64 x x)))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (fma.f64 x 8 (pow.f64 x 4))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
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(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (+.f64 x -2))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (*.f64 (cbrt.f64 (+.f64 x -2)) (cbrt.f64 (+.f64 x -2)))) (cbrt.f64 (+.f64 x -2)))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) 1) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (fma.f64 x 8 (pow.f64 x 4))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))))) (sqrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (fma.f64 x 8 (pow.f64 x 4))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))) (cbrt.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x x (-.f64 4 (*.f64 x 2)))) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (*.f64 (fma.f64 x -1/4 1/2) (fma.f64 x 8 (pow.f64 x 4))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 x x))) (*.f64 x (+.f64 x 2))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/4 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (+.f64 1/4 (*.f64 -1/16 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/16)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -1/16))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) 1) (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/64 (pow.f64 x 3))) (*.f64 x (+.f64 x 2))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/8 x)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 1/16 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 (fma.f64 (*.f64 x 1/16) x 1/4) (*.f64 x 1/8))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 x (-.f64 -1/8 (*.f64 x 1/16))))) (fma.f64 (pow.f64 x 3) -1/64 1/8))
(pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 1)
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 3)
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3) 1/3)
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2))
(fabs.f64 (*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2))))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))

eval121.0ms (1.4%)

Compiler

Compiled 6249 to 4462 computations (28.6% saved)

prune98.0ms (1.1%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New3746380
Fresh044
Picked011
Done4610
Total37817395
Error
0b
Counts
395 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
59.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
✓28.5b
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
✓59.2b
(-.f64 (+.f64 x 1) 1)
✓43.8b
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
60.1b
(-.f64 2 (/.f64 4 x))
32.1b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓31.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓59.2b
(+.f64 1 (+.f64 x -1))
32.4b
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
32.4b
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
✓32.4b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
59.4b
(*.f64 (*.f64 x 2) (/.f64 1 x))
60.3b
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
30.9b
x
59.4b
2
47.2b
-1
Compiler

Compiled 186 to 150 computations (19.4% saved)

regimes221.0ms (2.5%)

Counts
26 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

7 calls:

82.0ms
y
43.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
34.0ms
(*.f64 -2 x)
33.0ms
x
7.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Results
ErrorSegmentsBranch
0b3x
22.7b7y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
Compiler

Compiled 279 to 214 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.015415444248725057
1.1309847758561127
0.0ms
-16.814123774980096
-0.001132902552473689
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes290.0ms (3.2%)

Counts
25 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(-.f64 (*.f64 2 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -4)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

7 calls:

77.0ms
y
77.0ms
x
73.0ms
(*.f64 -2 x)
36.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
7.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Results
ErrorSegmentsBranch
0.0b3x
22.7b7y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
Compiler

Compiled 260 to 199 computations (23.5% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.015415444248725057
1.1309847758561127
0.0ms
-16.814123774980096
-0.001132902552473689
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes256.0ms (2.9%)

Counts
23 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)
Calls

7 calls:

111.0ms
y
75.0ms
(*.f64 -2 x)
32.0ms
x
8.0ms
(exp.f64 (*.f64 -2 x))
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.1b3x
22.7b7y
0.1b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.1b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.1b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.1b3(exp.f64 (*.f64 -2 x))
0.1b3(*.f64 -2 x)
Compiler

Compiled 234 to 178 computations (23.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.9897761647930407e-5
0.015415444248725057
0.0ms
-16.814123774980096
-0.001132902552473689
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes313.0ms (3.5%)

Counts
22 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

7 calls:

95.0ms
y
80.0ms
(*.f64 -2 x)
69.0ms
x
44.0ms
(exp.f64 (*.f64 -2 x))
7.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.1b3x
22.7b7y
0.1b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.1b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.1b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.1b3(exp.f64 (*.f64 -2 x))
0.1b3(*.f64 -2 x)
Compiler

Compiled 224 to 169 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.9897761647930407e-5
0.015415444248725057
0.0ms
-16.814123774980096
-0.001132902552473689
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes69.0ms (0.8%)

Counts
21 → 2
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(*.f64 (+.f64 x 2) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
-1
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Calls

2 calls:

19.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
14.8b2x
29.8b1y
Compiler

Compiled 173 to 124 computations (28.3% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
17.0ms
-254996.7923553918
-0.5654923879280563
Results
16.0ms144×body256valid
Compiler

Compiled 161 to 141 computations (12.4% saved)

regimes34.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
Outputs
-1
x
(-.f64 2 (/.f64 4 x))
Calls

2 calls:

26.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
14.2b3x
30.9b1y
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch32.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
0.0005664512762368445
8.407061887490048
17.0ms
-254996.7923553918
-0.5654923879280563
Results
28.0ms272×body256valid
Compiler

Compiled 185 to 158 computations (14.6% saved)

regimes15.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
Outputs
-1
x
2
Calls

2 calls:

11.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
14.2b3x
30.9b1y
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch32.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
0.0005664512762368445
8.407061887490048
18.0ms
-254996.7923553918
-0.5654923879280563
Results
29.0ms272×body256valid
Compiler

Compiled 153 to 134 computations (12.4% saved)

regimes44.0ms (0.5%)

Accuracy

Total -19.0b remaining (-43.5%)

Threshold costs -19.0b (-43.5%)

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

2 calls:

41.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
43.8b2x
47.2b1y
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch85.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
85.0ms
-7.235533907348367e-308
1.7362050995821124e-306
Results
83.0ms128×body2048valid
Compiler

Compiled 81 to 79 computations (2.5% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
14×*-commutative
8×sub-neg
6×if-if-or-not
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072517
1101517
2109517
3111517
4112517
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 5854679515581645/2251799813685248) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (*.f64 -2 x) -10) (not (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (*.f64 -2 x) -10) (not (<=.f64 (*.f64 -2 x) 5764607523034235/288230376151711744))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 x -2)))) 1)))
(if (<=.f64 (*.f64 -2 x) -10) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 2 (expm1.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -10) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (*.f64 -2 x) -10) (not (<=.f64 (*.f64 -2 x) 5902958103587057/295147905179352825856))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 5854679515581645/2251799813685248) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 5854679515581645/2251799813685248) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Compiler

Compiled 212 to 177 computations (16.5% saved)

soundness0.0ms (0%)

end156.0ms (1.7%)

Compiler

Compiled 196 to 161 computations (17.9% saved)

Profiling

Loading profile data...