Details

Time bar (total: 4.0s)

analyze32.0ms (0.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%21.9%9.5%7
68.7%17.2%14.1%8
71.8%11.7%16.5%9
71.8%9%19.2%10
73.4%6%20.6%11
73.4%4.6%22%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (49.6%)

Results
757.0ms1517×body2048valid
526.0ms1757×body1024valid
434.0ms3785×body256valid
218.0ms1197×body512valid
35.0ms270×body256invalid

preprocess52.0ms (1.3%)

Algorithm
egg-herbie
Rules
736×unswap-sqr_binary64
578×associate-*l*_binary64
470×associate-*r*_binary64
392×distribute-rgt-out_binary64
312×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
12212
23012
34812
49812
525612
688412
7397112
022
122
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 x a)) 1)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify49.0ms (1.2%)

Algorithm
egg-herbie
Rules
571×fma-neg_binary64
440×unswap-sqr_binary64
420×cancel-sign-sub-inv_binary64
394×*-commutative_binary64
337×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
1166
2236
3356
4706
51756
65676
724156
859356
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

eval1.0ms (0%)

Compiler

Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(expm1.f64 (*.f64 a x))
1.0ms
x
@0
(expm1.f64 (*.f64 a x))
0.0ms
a
@-inf
(expm1.f64 (*.f64 a x))
0.0ms
a
@inf
(expm1.f64 (*.f64 a x))
0.0ms
x
@-inf
(expm1.f64 (*.f64 a x))

rewrite76.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
442×pow1_binary64
422×add-sqr-sqrt_binary64
416×*-un-lft-identity_binary64
405×add-log-exp_binary64
405×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1966
211136
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) -1) (+.f64 (pow.f64 (exp.f64 a) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)))))

simplify86.0ms (2.2%)

Algorithm
egg-herbie
Rules
1324×distribute-lft-out_binary64
822×fma-def_binary64
421×associate-/l/_binary64
365×associate-/r/_binary64
354×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031284
190284
2245280
31019262
43128248
54834248
66672248
Stop Event
node limit
Counts
48 → 33
Calls
Call 1
Inputs
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
Outputs
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 a x))
(fma.f64 a x (*.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x))))
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 a (*.f64 a x)))))
(*.f64 x (fma.f64 (*.f64 a 1/2) (*.f64 a x) a))
(*.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a))
(*.f64 x (fma.f64 1/2 (*.f64 a (*.f64 a x)) a))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (fma.f64 a x (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 a x (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 a x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 a 3))) (*.f64 a (*.f64 a 1/2)))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 (pow.f64 a 3) (*.f64 x 1/6) (*.f64 a (*.f64 a 1/2))))))
(fma.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))
(fma.f64 a x (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (fma.f64 a x (fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 a x (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 a x (fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 x (fma.f64 (*.f64 a 1/2) (*.f64 a x) a) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 a (*.f64 1/24 (pow.f64 x 4))))))
(fma.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/24 (pow.f64 (*.f64 a x) 4))))
(fma.f64 a x (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 a x))
(fma.f64 a x (*.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x))))
(*.f64 x (+.f64 a (*.f64 1/2 (*.f64 a (*.f64 a x)))))
(*.f64 x (fma.f64 (*.f64 a 1/2) (*.f64 a x) a))
(*.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a))
(*.f64 x (fma.f64 1/2 (*.f64 a (*.f64 a x)) a))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (fma.f64 a x (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 a x (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 a x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 a 3))) (*.f64 a (*.f64 a 1/2)))))
(*.f64 x (+.f64 a (*.f64 x (fma.f64 (pow.f64 a 3) (*.f64 x 1/6) (*.f64 a (*.f64 a 1/2))))))
(fma.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))
(fma.f64 a x (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (*.f64 a x) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x x)) (fma.f64 a x (fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 a x (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 a x (fma.f64 1/2 (*.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 x (fma.f64 (*.f64 a 1/2) (*.f64 a x) a) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 a (*.f64 1/24 (pow.f64 x 4))))))
(fma.f64 x (fma.f64 x (*.f64 a (*.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/24 (pow.f64 (*.f64 a x) 4))))
(fma.f64 a x (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

eval7.0ms (0.2%)

Compiler

Compiled 379 to 157 computations (58.6% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334
Error
0.0b
Counts
34 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
21.5b
(*.f64 a x)
0.6b
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
Compiler

Compiled 20 to 14 computations (30% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
0.3b
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
12.3b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series24.0ms (0.6%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(cbrt.f64 (expm1.f64 (*.f64 a x)))
3.0ms
x
@0
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
3.0ms
x
@-inf
(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms
a
@0
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

rewrite56.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
612×pow1_binary64
573×add-log-exp_binary64
573×log1p-expm1-u_binary64
573×expm1-log1p-u_binary64
558×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116414
2161914
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 a x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))))))

simplify47.0ms (1.2%)

Algorithm
egg-herbie
Rules
631×distribute-rgt-in_binary64
563×distribute-lft-in_binary64
452×associate-+l+_binary64
452×unswap-sqr_binary64
434×associate-+r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011272
131224
251224
380224
4153224
5383224
61266224
73342224
Stop Event
node limit
Counts
73 → 44
Calls
Call 1
Inputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
Outputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))

eval27.0ms (0.7%)

Compiler

Compiled 1008 to 450 computations (55.4% saved)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh000
Picked011
Done022
Total76480
Error
0.0b
Counts
80 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
21.5b
(*.f64 a x)
0.6b
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
1.2b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
Compiler

Compiled 32 to 24 computations (25% saved)

localize86.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
0.4b
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
12.3b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
Compiler

Compiled 41 to 13 computations (68.3% saved)

series172.0ms (4.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
45.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
44.0ms
a
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
31.0ms
a
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
15.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
9.0ms
a
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

rewrite200.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
689×pow1_binary64
646×add-log-exp_binary64
646×log1p-expm1-u_binary64
646×expm1-log1p-u_binary64
625×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
120924
2189524
Stop Event
node limit
Counts
3 → 66
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 a x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))))))

simplify194.0ms (4.8%)

Algorithm
egg-herbie
Rules
583×associate-*r*_binary64
485×associate-*l*_binary64
462×distribute-rgt-out_binary64
433×fma-def_binary64
361×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03388024
114616727
256624998
373914541
Stop Event
node limit
Counts
138 → 116
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))) (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (*.f64 1/18 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
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1/9 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 1/18 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (pow.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) 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(+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 4)) (*.f64 (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 1/18 (*.f64 a (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (*.f64 1/9 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 1/18 (*.f64 a (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (+.f64 (pow.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) 2) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))))) (pow.f64 x 3)))))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
Outputs
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 a (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 x 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(fma.f64 a (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 2 (*.f64 (fma.f64 1/18 (*.f64 (*.f64 x x) 1/12) (*.f64 (*.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 (*.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 x x))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x x)) (*.f64 (fma.f64 1/18 (*.f64 (*.f64 x x) 1/12) (*.f64 (*.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
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(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)
(+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x (*.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 x (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))
(+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(fma.f64 (fma.f64 1/162 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 1/324 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (*.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x (*.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 1/18 (*.f64 a (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))))
(fma.f64 (fma.f64 (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12))))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (*.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (*.f64 1/324 (*.f64 a (*.f64 (*.f64 a a) 1/12)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (*.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (*.f64 1/324 (*.f64 a (*.f64 (*.f64 a a) 1/12)))))) (fma.f64 1/9 (*.f64 (*.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12))))) (*.f64 (*.f64 1/18 a) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 1/324 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/162 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 1/324 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (*.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x (*.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))))
(fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))) (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))))))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 0 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
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(*.f64 (pow.f64 a 3) 1/34992))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))))))) (fma.f64 (+.f64 (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))) (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (fma.f64 (*.f64 a 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(fma.f64 x (*.f64 3 (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 2 (*.f64 1/36 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/36 (*.f64 (*.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))))))) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 2 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))))))) (fma.f64 (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162))))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6) (+.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) 3) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162))))) 4)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 5)))))
(fma.f64 x (*.f64 3 (*.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 2 (pow.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) 2)) (fma.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))))) (pow.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) 2))))) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 2 (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))) (*.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162)))))))) (fma.f64 (+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162))))) (*.f64 1/9 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (*.f64 a a) 1/162))) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6) (+.f64 (pow.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6)) 3) (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 a 1/6))) (+.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (+.f64 (*.f64 (*.f64 a a) 1/324) (*.f64 2 (*.f64 (*.f64 a a) 1/162)))) (*.f64 2 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))))) 4)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 5)))))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (*.f64 a x)) 1))
(*.f64 1 (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))

eval268.0ms (6.7%)

Compiler

Compiled 11206 to 6705 computations (40.2% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1361137
Fresh000
Picked011
Done033
Total1365141
Error
0.0b
Counts
141 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
1.5b
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3) 3)
0.0b
(expm1.f64 (*.f64 a x))
21.5b
(*.f64 a x)
1.2b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
Compiler

Compiled 47 to 37 computations (21.3% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
0.5b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
12.3b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
Compiler

Compiled 64 to 24 computations (62.5% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
0.0ms
a
@inf
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
0.0ms
a
@-inf
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)

rewrite53.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
675×pow1_binary64
630×add-log-exp_binary64
630×log1p-expm1-u_binary64
630×expm1-log1p-u_binary64
612×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
12248
218278
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))))

simplify74.0ms (1.8%)

Algorithm
egg-herbie
Rules
708×distribute-rgt-in_binary64
702×distribute-lft-in_binary64
448×associate-+l+_binary64
435×associate-+r+_binary64
415×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531992
15661470
222441140
36896999
Stop Event
node limit
Counts
45 → 38
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))) (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (*.f64 1/18 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 1/18 (*.f64 a (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
Outputs
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 a (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) 1/6) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))
(fma.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (*.f64 x (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(fma.f64 a (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) 1/6) (fma.f64 (*.f64 a a) (fma.f64 (fma.f64 1/324 (*.f64 (*.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 (*.f64 2 (fma.f64 1/18 (*.f64 (*.f64 x x) 1/12) (*.f64 (*.f64 x x) 1/648))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 1/18 (*.f64 (*.f64 x x) 1/12) (*.f64 (*.f64 x x) 1/648))))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))
(fma.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x 1/6)) (fma.f64 (*.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (fma.f64 (*.f64 x x) 1/648 (*.f64 (*.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 (*.f64 x x) (*.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 x x) 1/648 (*.f64 (*.f64 x x) 1/216)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 x x) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 x 1/6)) (fma.f64 (*.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/324 (*.f64 x x)) (*.f64 2 (*.f64 (*.f64 x x) 1/162)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 x x) 1/162) (*.f64 (*.f64 x x) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (*.f64 x (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) 1/6)) (fma.f64 (*.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 1/324 (*.f64 x x)) (*.f64 2 (*.f64 (*.f64 x x) 1/162)))) (*.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 x x)) 1/81)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/18 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (*.f64 1/9 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/162 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))) (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (*.f64 1/18 (*.f64 (+.f64 (*.f64 1/324 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2)))) (*.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))) (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (*.f64 1/34992 (pow.f64 x 3)) (*.f64 1/54 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))))
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(fma.f64 x (*.f64 a (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))
(+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(fma.f64 (fma.f64 1/162 (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 a a)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 (*.f64 1/324 (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))) (*.f64 x x) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 x (*.f64 (*.f64 a (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 1/162 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a a)) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))) (*.f64 (*.f64 a a) (*.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a)))) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/81))) (fma.f64 x (*.f64 a (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/54 (+.f64 (*.f64 1/2 (pow.f64 a 3)) (*.f64 -1/2 (pow.f64 a 3)))) (+.f64 (*.f64 1/34992 (pow.f64 a 3)) (*.f64 1/324 (*.f64 a (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (*.f64 1/18 (*.f64 a (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/162 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (*.f64 (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (*.f64 1/648 (pow.f64 a 2)) (*.f64 1/18 (+.f64 (*.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))) (*.f64 1/324 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (*.f64 (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (*.f64 1/9 (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))))
(fma.f64 (fma.f64 (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12))))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (*.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (*.f64 1/324 (*.f64 a (*.f64 (*.f64 a a) 1/12)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/54 (*.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (*.f64 1/324 (*.f64 a (*.f64 (*.f64 a a) 1/12)))))) (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))))) (*.f64 (*.f64 1/18 a) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 (*.f64 1/324 (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/162 (*.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (*.f64 a a)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (*.f64 a a) (*.f64 1/18 (*.f64 (*.f64 a a) 1/12)))) (*.f64 (*.f64 1/324 (*.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))) (*.f64 x x) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 x (*.f64 (*.f64 a (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) 1/6)))))
(fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/9 (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)))) (*.f64 1/18 (*.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))) (*.f64 (*.f64 a a) (*.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) a)))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (*.f64 (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216)) a)) (*.f64 (+.f64 0 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (*.f64 2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992)))))) (fma.f64 (*.f64 x x) (fma.f64 1/162 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a a)) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))) (*.f64 (*.f64 a a) (*.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (*.f64 a a) 1/648 (*.f64 (*.f64 a a) 1/216))))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 (*.f64 a a) 1/162)) (*.f64 1/9 a)) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (*.f64 1/18 (*.f64 a (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 (*.f64 1/9 a) (*.f64 (*.f64 a a) 1/162)) (*.f64 2 (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))))))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (*.f64 (*.f64 a a) 1/162) (*.f64 (*.f64 a a) 1/162)))) (fma.f64 x (*.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 a (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162))) (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/162)) (*.f64 1/9 a)) (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 3 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (fma.f64 1/324 (*.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))))))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (*.f64 2 (*.f64 (*.f64 a a) 1/162)) (*.f64 (*.f64 a 1/324) a)))) (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) (*.f64 (*.f64 a a) 1/81))) (fma.f64 x (*.f64 a (*.f64 (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6) 1/6)) (pow.f64 (fabs.f64 (pow.f64 (*.f64 x a) 1/18)) 6))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3))
(*.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 x a)))

eval264.0ms (6.6%)

Compiler

Compiled 6383 to 3898 computations (38.9% saved)

prune39.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done044
Total1335138
Error
0.0b
Counts
138 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
1.5b
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3) 3)
0.0b
(expm1.f64 (*.f64 a x))
21.5b
(*.f64 a x)
1.2b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes20.0ms (0.5%)

Accuracy

Total -47.9b remaining (-331072.6%)

Threshold costs -47.9b (-331072.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)) 3) 3)
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

5.0ms
a
5.0ms
x
4.0ms
(*.f64 a x)
2.0ms
(exp.f64 (*.f64 a x))
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Results
ErrorSegmentsBranch
0.0b1a
0.0b1x
0.0b1(-.f64 (exp.f64 (*.f64 a x)) 1)
0.0b1(exp.f64 (*.f64 a x))
0.0b1(*.f64 a x)
Compiler

Compiled 70 to 39 computations (44.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1610
Stop Event
done
saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness84.0ms (2.1%)

Algorithm
egg-herbie
Rules
571×fma-neg_binary64
440×unswap-sqr_binary64
420×cancel-sign-sub-inv_binary64
394×*-commutative_binary64
337×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
1166
2236
3356
4706
51756
65676
724156
859356
Stop Event
node limit
Compiler

Compiled 14 to 10 computations (28.6% saved)

end17.0ms (0.4%)

Remove

(sort a x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

Profiling

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