Details

Time bar (total: 12.7s)

analyze219.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.2%0.1%6
28.1%71.8%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
Compiler

Compiled 19 to 9 computations (52.6% saved)

sample4.8s (38.1%)

Results
2.6s4023×body8192exit
1.3s7519×body256valid
670.0ms3954×body256invalid
184.0ms711×body512valid
10.0ms26×body1024valid

preprocess93.0ms (0.7%)

Algorithm
egg-herbie
Rules
572×associate--r-
442×associate--l-
399×distribute-lft-in
342×distribute-rgt-in
302×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01546
14046
210946
330942
491736
5339636
6693036
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(-.f64 x (/.f64 (-.f64 (*.f64 x (exp.f64 x)) wj) (+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))
Outputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (*.f64 (+.f64 wj 1) (exp.f64 wj))))
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 wj (/.f64 (-.f64 (/.f64 wj 1) (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
(-.f64 x (/.f64 (-.f64 (*.f64 x (exp.f64 x)) wj) (+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))
(-.f64 x (/.f64 (fma.f64 x (exp.f64 x) (neg.f64 wj)) (*.f64 (+.f64 x 1) (exp.f64 x))))
(-.f64 x (/.f64 (-.f64 (*.f64 x (exp.f64 x)) wj) (*.f64 (exp.f64 x) (+.f64 x 1))))
(-.f64 x (/.f64 (-.f64 (/.f64 x 1) (/.f64 wj (exp.f64 x))) (+.f64 x 1)))
(+.f64 x (/.f64 (-.f64 (/.f64 wj (exp.f64 x)) x) (+.f64 x 1)))
(+.f64 x (/.f64 (-.f64 x (/.f64 wj (exp.f64 x))) (-.f64 -1 x)))
Compiler

Compiled 20 to 10 computations (50% saved)

simplify58.0ms (0.5%)

Algorithm
egg-herbie
Rules
538×associate-*r/
440×*-commutative
402×fma-def
389×associate-/r*
292×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0923
12223
25823
315721
448218
5161418
6510018
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Outputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (*.f64 (+.f64 wj 1) (exp.f64 wj))))
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 wj (/.f64 (-.f64 (/.f64 wj 1) (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))

eval1.0ms (0%)

Compiler

Compiled 30 to 14 computations (53.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
11.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
11.0b
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
11.0b
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 32 to 17 computations (46.9% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))
0.0b
(/.f64 x (exp.f64 wj))
4.6b
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
Compiler

Compiled 42 to 15 computations (64.3% saved)

series11.0ms (0.1%)

Counts
3 → 52
Calls

18 calls:

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

rewrite108.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
630×associate-/r/
596×distribute-lft-in
490×associate-/l/
143×associate-+l+
130×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
123439
2369839
Stop Event
node limit
Counts
3 → 290
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
(/.f64 x (exp.f64 wj))
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (*.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 wj))) (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (*.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1) (fma.f64 (neg.f64 (/.f64 -1 (-.f64 -1 wj))) (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) (fma.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1 (/.f64 (-.f64 wj (/.f64 x 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egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 -1 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (log1p.f64 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (log1p.f64 wj)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))))))))

simplify110.0ms (0.9%)

Algorithm
egg-herbie
Rules
620×associate-+l+
401×+-commutative
397×associate-*r*
396×associate-+r+
351×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391138
14631068
21767989
Stop Event
node limit
Counts
342 → 346
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
wj
(-.f64 wj 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj)) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
x
(+.f64 (*.f64 -1 (*.f64 wj x)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (*.f64 wj x)) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 3) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (*.f64 wj x)) x)))
(*.f64 -1 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -2 x)) (+.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))) x)))) (+.f64 (*.f64 1/2 x) (*.f64 -2 x))) (pow.f64 wj 3)) (+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -2 x)) (+.f64 1 x))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 2)))) (+.f64 (/.f64 1 wj) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 3)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(/.f64 wj (+.f64 1 wj))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(fma.f64 -1 (*.f64 (fma.f64 2/3 x (fma.f64 -3 x (+.f64 1 (*.f64 -2 (*.f64 x -5/2))))) (pow.f64 wj 3)) (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)))
(-.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)) (*.f64 (+.f64 (+.f64 1 (*.f64 x 5)) (*.f64 x -7/3)) (pow.f64 wj 3)))
(fma.f64 (+.f64 (neg.f64 (*.f64 x 8/3)) -1) (pow.f64 wj 3) (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(+.f64 (/.f64 1 wj) (-.f64 (+.f64 wj (/.f64 x (*.f64 wj (exp.f64 wj)))) 1))
(+.f64 -1 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 wj (/.f64 1 wj))))
(+.f64 (/.f64 1 wj) (+.f64 (+.f64 wj -1) (/.f64 (/.f64 x wj) (exp.f64 wj))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 x (*.f64 wj (exp.f64 wj)))))) -1)
(+.f64 -1 (-.f64 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 wj (/.f64 1 wj))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(+.f64 (-.f64 0 (*.f64 (+.f64 1 (/.f64 -1 wj)) (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj))) (+.f64 wj -1))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj) 1)
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj) wj) -1)
(+.f64 -1 (-.f64 wj (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj)))
(+.f64 -1 (-.f64 wj (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj)) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
(-.f64 (fma.f64 -1 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj) wj)) (+.f64 1 (/.f64 1 (*.f64 wj wj))))
(-.f64 (-.f64 (-.f64 wj (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj)) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (+.f64 1 (/.f64 1 (*.f64 wj wj))))
(+.f64 (-.f64 wj (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj)) (+.f64 -1 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
(/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
(/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 wj (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
x
(+.f64 (*.f64 -1 (*.f64 wj x)) x)
(fma.f64 -1 (*.f64 x wj) x)
(-.f64 x (*.f64 x wj))
(*.f64 x (-.f64 1 wj))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (*.f64 wj x)) x))
(fma.f64 -1 (*.f64 (*.f64 wj wj) (*.f64 x -1/2)) (fma.f64 -1 (*.f64 x wj) x))
(fma.f64 (*.f64 x 1/2) (*.f64 wj wj) (-.f64 x (*.f64 x wj)))
(-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 3) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (*.f64 wj x)) x)))
(fma.f64 -1 (*.f64 (pow.f64 wj 3) (fma.f64 -1/2 x (fma.f64 1/6 x (neg.f64 (*.f64 x -1/2))))) (fma.f64 -1 (*.f64 (*.f64 wj wj) (*.f64 x -1/2)) (fma.f64 -1 (*.f64 x wj) x)))
(-.f64 (fma.f64 (*.f64 x 1/2) (*.f64 wj wj) (-.f64 x (*.f64 x wj))) (*.f64 (pow.f64 wj 3) (+.f64 (*.f64 x 1/2) (*.f64 x -1/3))))
(-.f64 (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x))) (*.f64 (pow.f64 wj 3) (*.f64 x 1/6)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(fma.f64 wj (-.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 x))
(fma.f64 wj (+.f64 x (+.f64 x 1)) (neg.f64 x))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -2 x)) (+.f64 1 x)))))
(fma.f64 wj (-.f64 (+.f64 x 1) (neg.f64 x)) (fma.f64 -1 x (*.f64 (*.f64 wj wj) (-.f64 (*.f64 x -3/2) (+.f64 x 1)))))
(fma.f64 wj (+.f64 x (+.f64 x 1)) (fma.f64 (*.f64 wj wj) (-.f64 (fma.f64 x -3/2 -1) x) (neg.f64 x)))
(-.f64 (*.f64 wj (+.f64 (*.f64 wj (+.f64 (*.f64 x -5/2) -1)) (+.f64 x (+.f64 x 1)))) x)
(+.f64 (*.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))) x)))) (+.f64 (*.f64 1/2 x) (*.f64 -2 x))) (pow.f64 wj 3)) (+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -2 x)) (+.f64 1 x))))))
(fma.f64 (+.f64 1 (-.f64 (fma.f64 -1/2 x (fma.f64 1/6 x (fma.f64 -1 (*.f64 x -1/2) x))) (*.f64 x -3/2))) (pow.f64 wj 3) (fma.f64 wj (-.f64 (+.f64 x 1) (neg.f64 x)) (fma.f64 -1 x (*.f64 (*.f64 wj wj) (-.f64 (*.f64 x -3/2) (+.f64 x 1))))))
(fma.f64 (pow.f64 wj 3) (+.f64 1 (+.f64 (+.f64 (+.f64 (*.f64 x 1/2) (*.f64 x -1/3)) x) (*.f64 x 3/2))) (fma.f64 wj (+.f64 x (+.f64 x 1)) (fma.f64 (*.f64 wj wj) (-.f64 (fma.f64 x -3/2 -1) x) (neg.f64 x))))
(fma.f64 (+.f64 1 (*.f64 x 8/3)) (pow.f64 wj 3) (-.f64 (*.f64 wj (+.f64 (*.f64 wj (+.f64 (*.f64 x -5/2) -1)) (+.f64 x (+.f64 x 1)))) x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) (*.f64 wj (exp.f64 wj)))) (/.f64 1 wj))
(+.f64 1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj))
(+.f64 1 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 2)))) (+.f64 (/.f64 1 wj) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 1 (*.f64 wj wj)))) (+.f64 (/.f64 1 wj) (/.f64 (neg.f64 x) (*.f64 (*.f64 wj wj) (exp.f64 wj)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 x (*.f64 wj (exp.f64 wj)))) (-.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj)))))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj) (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 3)))))
(-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (pow.f64 wj 3) (exp.f64 wj))))) (+.f64 (/.f64 1 wj) (fma.f64 -1 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 x (*.f64 wj (exp.f64 wj)))) (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj)))) (+.f64 (-.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (/.f64 1 (pow.f64 wj 3)))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj)))) (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj)) (-.f64 (-.f64 (/.f64 1 (pow.f64 wj 3)) (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj)))) 1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) (*.f64 wj (exp.f64 wj)))) (/.f64 1 wj))
(+.f64 1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj))
(+.f64 1 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))))) (/.f64 1 wj))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (*.f64 wj wj)) (/.f64 (neg.f64 x) (*.f64 wj (exp.f64 wj)))) (/.f64 1 wj)))
(+.f64 (-.f64 1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (*.f64 wj wj))) (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) wj))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 -1 wj)) (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (*.f64 wj wj)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (-.f64 1 (/.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (*.f64 wj wj))) (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) wj) (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (pow.f64 wj 3)) (*.f64 (+.f64 1 (/.f64 -1 wj)) (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj)))) (/.f64 -1 (pow.f64 wj 3)))
(/.f64 wj (+.f64 1 wj))
(/.f64 wj (+.f64 wj 1))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 wj 1))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 wj 1))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (*.f64 -1 (/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1)))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
0.0b
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
0.0b
(*.f64 wj (exp.f64 wj))
4.6b
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 53 to 8 computations (84.9% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
1.0ms
wj
@-inf
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
1.0ms
x
@inf
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
1.0ms
wj
@-inf
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))

rewrite171.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
734×distribute-lft-in
601×associate-/r/
364×associate-/l/
185×associate-+l+
146×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0958
121955
2364855
Stop Event
node limit
Counts
4 → 344
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(*.f64 wj (exp.f64 wj))
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
Outputs
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3)) (+.f64 (*.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 (+.f64 wj (log1p.f64 wj)))) (/.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 (+.f64 wj (log1p.f64 wj))))) (+.f64 (*.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj)))) (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj))))) (*.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 (+.f64 wj (log1p.f64 wj)))) (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))) (fma.f64 wj (exp.f64 wj) x)) (+.f64 (*.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) (pow.f64 (*.f64 wj (exp.f64 wj)) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (*.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))) (+.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) (*.f64 x (fma.f64 wj (exp.f64 wj) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 3) (pow.f64 (*.f64 wj (exp.f64 wj)) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 3) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 (+.f64 wj (log1p.f64 wj)))) (*.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))) x)) (pow.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) (*.f64 x x)) 1) (*.f64 (fma.f64 wj (exp.f64 wj) x) (exp.f64 (+.f64 wj (log1p.f64 wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 3) (pow.f64 x 3)) 1) (*.f64 (+.f64 (pow.f64 (*.f64 wj (exp.f64 wj)) 2) (*.f64 x (fma.f64 wj (exp.f64 wj) x))) (exp.f64 (+.f64 wj (log1p.f64 wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))) (-.f64 (*.f64 wj (exp.f64 wj)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (neg.f64 (exp.f64 (+.f64 wj (log1p.f64 wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x)) (+.f64 wj (log1p.f64 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x)) (+.f64 wj (log1p.f64 wj))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (exp.f64 (+.f64 wj (log1p.f64 wj))))))))))

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Rules
747×associate--l-
634×associate--r-
631×fma-def
350×associate-+l+
339×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01511482
14481430
214281167
357091083
Stop Event
node limit
Counts
416 → 408
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
wj
(-.f64 wj 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj)) 1)
(-.f64 wj (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj)))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
wj
(+.f64 (pow.f64 wj 2) wj)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 1/2 (pow.f64 wj 3)) wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 1/2 (pow.f64 wj 3)) (+.f64 wj (*.f64 1/6 (pow.f64 wj 4)))))
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
(*.f64 (exp.f64 wj) wj)
1
(+.f64 1 (*.f64 2 wj))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 wj 2)) (*.f64 2 wj)))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 wj 2)) (+.f64 (*.f64 2/3 (pow.f64 wj 3)) (*.f64 2 wj))))
(*.f64 (exp.f64 wj) wj)
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj))
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x))))) (pow.f64 wj 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj)))
(+.f64 (*.f64 (-.f64 1/2 (+.f64 (*.f64 2 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x)))))) (+.f64 (*.f64 -2/3 x) (*.f64 3/2 (-.f64 1 (*.f64 -2 x)))))) (pow.f64 wj 3)) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x))))) (pow.f64 wj 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 2)))) (+.f64 (/.f64 1 wj) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(+.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (/.f64 1 (pow.f64 wj 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (+.f64 (/.f64 1 (pow.f64 wj 2)) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))))))
(/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 (+.f64 1 (*.f64 x 5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj (*.f64 wj (fma.f64 x 5/2 1)) x))
(fma.f64 wj (*.f64 wj (fma.f64 x 5/2 1)) (*.f64 x (fma.f64 -2 wj 1)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(fma.f64 -1 (*.f64 (fma.f64 2/3 x (fma.f64 -3 x (+.f64 1 (*.f64 -2 (*.f64 x -5/2))))) (pow.f64 wj 3)) (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)))
(-.f64 (fma.f64 (+.f64 1 (*.f64 x 5/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)) (*.f64 (+.f64 (+.f64 1 (*.f64 x 5)) (*.f64 x -7/3)) (pow.f64 wj 3)))
(fma.f64 (fma.f64 -2 wj 1) x (*.f64 (*.f64 wj wj) (+.f64 (fma.f64 x 5/2 1) (*.f64 (+.f64 1 (*.f64 x 8/3)) (neg.f64 wj)))))
(fma.f64 (fma.f64 -2 wj 1) x (*.f64 (*.f64 wj wj) (+.f64 (fma.f64 x 5/2 1) (*.f64 wj (+.f64 (neg.f64 (*.f64 x 8/3)) -1)))))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(+.f64 (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj)))) -1)
(+.f64 -1 (+.f64 wj (+.f64 (/.f64 1 wj) (/.f64 (/.f64 x wj) (exp.f64 wj)))))
(+.f64 wj (+.f64 (+.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (exp.f64 wj)))) -1))
(+.f64 wj (+.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj))))) -1)
(+.f64 -1 (-.f64 (+.f64 wj (+.f64 (/.f64 1 wj) (/.f64 (/.f64 x wj) (exp.f64 wj)))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(-.f64 (+.f64 wj (+.f64 (+.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (exp.f64 wj)))) -1)) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)))
(+.f64 (+.f64 wj -1) (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1)))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj) 1)
(+.f64 (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj)))) -1)
(+.f64 -1 (+.f64 wj (+.f64 (/.f64 1 wj) (/.f64 (/.f64 x wj) (exp.f64 wj)))))
(+.f64 wj (+.f64 (+.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (exp.f64 wj)))) -1))
(+.f64 wj (+.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) wj)) wj)) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj))))) -1)
(+.f64 -1 (-.f64 (+.f64 wj (+.f64 (/.f64 1 wj) (/.f64 (/.f64 x wj) (exp.f64 wj)))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(-.f64 (+.f64 wj (+.f64 (+.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (exp.f64 wj)))) -1)) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)))
(+.f64 (+.f64 wj -1) (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1)))
(-.f64 wj (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 wj (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)))
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj)))
(/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))) wj) (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj)))
(/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
(/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) wj) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 wj (exp.f64 wj)) (exp.f64 wj))))
(+.f64 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (-.f64 wj (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))))
(+.f64 wj (-.f64 (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))))
(+.f64 wj (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))
(+.f64 wj (-.f64 (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)) (/.f64 wj (+.f64 wj 1))))
wj
(+.f64 (pow.f64 wj 2) wj)
(+.f64 wj (*.f64 wj wj))
(fma.f64 wj wj wj)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 1/2 (pow.f64 wj 3)) wj))
(+.f64 (*.f64 wj wj) (fma.f64 1/2 (pow.f64 wj 3) wj))
(fma.f64 wj wj (fma.f64 (pow.f64 wj 3) 1/2 wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 1/2 (pow.f64 wj 3)) (+.f64 wj (*.f64 1/6 (pow.f64 wj 4)))))
(+.f64 (*.f64 wj wj) (+.f64 (fma.f64 1/2 (pow.f64 wj 3) wj) (*.f64 1/6 (pow.f64 wj 4))))
(fma.f64 wj wj (fma.f64 (pow.f64 wj 3) 1/2 (fma.f64 1/6 (pow.f64 wj 4) wj)))
(fma.f64 (pow.f64 wj 3) 1/2 (fma.f64 wj wj (fma.f64 1/6 (pow.f64 wj 4) wj)))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
1
(+.f64 1 (*.f64 2 wj))
(+.f64 1 (*.f64 wj 2))
(fma.f64 wj 2 1)
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 wj 2)) (*.f64 2 wj)))
(+.f64 1 (fma.f64 3/2 (*.f64 wj wj) (*.f64 wj 2)))
(+.f64 (fma.f64 wj 2 1) (*.f64 wj (*.f64 wj 3/2)))
(fma.f64 wj 2 (fma.f64 3/2 (*.f64 wj wj) 1))
(fma.f64 wj 2 (fma.f64 wj (*.f64 wj 3/2) 1))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 wj 2)) (+.f64 (*.f64 2/3 (pow.f64 wj 3)) (*.f64 2 wj))))
(+.f64 1 (fma.f64 3/2 (*.f64 wj wj) (fma.f64 2/3 (pow.f64 wj 3) (*.f64 wj 2))))
(+.f64 (fma.f64 3/2 (*.f64 wj wj) (*.f64 2/3 (pow.f64 wj 3))) (fma.f64 wj 2 1))
(+.f64 1 (fma.f64 2/3 (pow.f64 wj 3) (*.f64 wj (+.f64 2 (*.f64 wj 3/2)))))
(+.f64 (fma.f64 wj 2 1) (*.f64 (*.f64 wj wj) (+.f64 3/2 (*.f64 wj 2/3))))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(*.f64 (exp.f64 wj) wj)
(*.f64 wj (exp.f64 wj))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))
(*.f64 (+.f64 wj 1) (exp.f64 wj))
(fma.f64 wj (exp.f64 wj) (exp.f64 wj))
(*.f64 (exp.f64 wj) (+.f64 wj 1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj))
(fma.f64 -1 x (*.f64 wj (+.f64 1 (*.f64 2 x))))
(fma.f64 wj (+.f64 1 (*.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 wj (fma.f64 x 2 1)) x)
(fma.f64 wj (fma.f64 x 2 1) (neg.f64 x))
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x))))) (pow.f64 wj 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj)))
(fma.f64 (-.f64 1 (fma.f64 -3/2 x (*.f64 2 (+.f64 1 (*.f64 2 x))))) (*.f64 wj wj) (fma.f64 -1 x (*.f64 wj (+.f64 1 (*.f64 2 x)))))
(fma.f64 (*.f64 wj wj) (-.f64 1 (fma.f64 x -3/2 (+.f64 2 (*.f64 2 (*.f64 x 2))))) (fma.f64 wj (+.f64 1 (*.f64 x 2)) (neg.f64 x)))
(-.f64 (*.f64 wj (+.f64 (fma.f64 x 2 1) (*.f64 wj (-.f64 1 (+.f64 2 (*.f64 x 5/2)))))) x)
(-.f64 (*.f64 wj (+.f64 (fma.f64 x 2 1) (*.f64 wj (-.f64 -1 (*.f64 x 5/2))))) x)
(+.f64 (*.f64 (-.f64 1/2 (+.f64 (*.f64 2 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x)))))) (+.f64 (*.f64 -2/3 x) (*.f64 3/2 (-.f64 1 (*.f64 -2 x)))))) (pow.f64 wj 3)) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -3/2 x) (*.f64 2 (-.f64 1 (*.f64 -2 x))))) (pow.f64 wj 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 1 (*.f64 -2 x)) wj))))
(fma.f64 (-.f64 1/2 (fma.f64 2 (-.f64 1 (fma.f64 -3/2 x (*.f64 2 (+.f64 1 (*.f64 2 x))))) (fma.f64 -2/3 x (*.f64 3/2 (+.f64 1 (*.f64 2 x)))))) (pow.f64 wj 3) (fma.f64 (-.f64 1 (fma.f64 -3/2 x (*.f64 2 (+.f64 1 (*.f64 2 x))))) (*.f64 wj wj) (fma.f64 -1 x (*.f64 wj (+.f64 1 (*.f64 2 x))))))
(fma.f64 (pow.f64 wj 3) (-.f64 1/2 (fma.f64 2 (-.f64 1 (fma.f64 x -3/2 (+.f64 2 (*.f64 2 (*.f64 x 2))))) (fma.f64 3/2 (+.f64 1 (*.f64 x 2)) (*.f64 x -2/3)))) (fma.f64 (*.f64 wj wj) (-.f64 1 (fma.f64 x -3/2 (+.f64 2 (*.f64 2 (*.f64 x 2))))) (fma.f64 wj (+.f64 1 (*.f64 x 2)) (neg.f64 x))))
(fma.f64 (pow.f64 wj 3) (-.f64 (-.f64 -3/2 (*.f64 -2 (+.f64 2 (*.f64 x 5/2)))) (+.f64 3/2 (*.f64 x 7/3))) (-.f64 (*.f64 wj (+.f64 (fma.f64 x 2 1) (*.f64 wj (-.f64 1 (+.f64 2 (*.f64 x 5/2)))))) x))
(fma.f64 (pow.f64 wj 3) (-.f64 1/2 (fma.f64 2 (-.f64 -1 (*.f64 x 5/2)) (+.f64 3/2 (*.f64 x 7/3)))) (-.f64 (*.f64 wj (+.f64 (fma.f64 x 2 1) (*.f64 wj (-.f64 -1 (*.f64 x 5/2))))) x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj))))) (/.f64 1 wj))
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) (*.f64 wj (exp.f64 wj))) (/.f64 1 wj)))
(-.f64 1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 2)))) (+.f64 (/.f64 1 wj) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (/.f64 x wj) (exp.f64 wj)) (/.f64 1 (*.f64 wj wj))) (+.f64 (/.f64 1 wj) (/.f64 (neg.f64 x) (*.f64 (*.f64 wj wj) (exp.f64 wj))))))
(+.f64 (-.f64 1 (/.f64 (/.f64 x wj) (exp.f64 wj))) (-.f64 (/.f64 1 (*.f64 wj wj)) (-.f64 (/.f64 1 wj) (/.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) wj))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (-.f64 (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj)))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))))
(-.f64 1 (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (*.f64 wj (exp.f64 wj)))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))))))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (/.f64 x wj) (exp.f64 wj)) (/.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (pow.f64 wj 3) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (fma.f64 -1 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 1 (pow.f64 wj 3))))))
(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 (/.f64 x wj) (exp.f64 wj))) (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj)))) (+.f64 (-.f64 (/.f64 1 wj) (/.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) wj)) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 x (*.f64 wj (exp.f64 wj)))) (-.f64 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3)) (-.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (pow.f64 wj 3)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1))))) (/.f64 -1 (pow.f64 wj 3)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) (*.f64 wj (exp.f64 wj))) (/.f64 1 wj)))
(-.f64 1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))
(+.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (/.f64 1 (pow.f64 wj 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (/.f64 x wj) (exp.f64 wj)) (/.f64 1 (*.f64 wj wj))) (+.f64 (/.f64 1 wj) (/.f64 (neg.f64 x) (*.f64 (*.f64 wj wj) (exp.f64 wj))))))
(+.f64 (-.f64 1 (/.f64 (/.f64 x wj) (exp.f64 wj))) (-.f64 (/.f64 1 (*.f64 wj wj)) (-.f64 (/.f64 1 wj) (/.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) wj))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (-.f64 (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj)))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))))
(-.f64 1 (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (+.f64 (/.f64 1 (pow.f64 wj 2)) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))))))
(fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3)) (+.f64 (+.f64 1 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj)))) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (/.f64 1 (*.f64 wj wj)))))
(-.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) wj)) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3)))
(+.f64 (-.f64 1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (-.f64 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3))))
(+.f64 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3)) (-.f64 1 (*.f64 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj) (-.f64 (/.f64 -1 wj) -1))))
(/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))
(/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj))
(*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj))
(/.f64 wj (+.f64 wj 1))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) (/.f64 (*.f64 (exp.f64 wj) wj) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (+.f64 wj 1) (exp.f64 wj)))
(/.f64 (neg.f64 x) (fma.f64 wj (exp.f64 wj) (exp.f64 wj)))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 wj 1))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (+.f64 wj 1) (exp.f64 wj)))
(/.f64 (neg.f64 x) (fma.f64 wj (exp.f64 wj) (exp.f64 wj)))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (+.f64 wj 1))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))
(+.f64 (/.f64 (*.f64 wj (exp.f64 wj)) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (*.f64 -1 (/.f64 x (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))))
(fma.f64 -1 (/.f64 x (*.f64 (+.f64 wj 1) (exp.f64 wj))) (/.f64 (exp.f64 wj) (/.f64 (*.f64 (+.f64 wj 1) (exp.f64 wj)) wj)))
(-.f64 (*.f64 (/.f64 wj (fma.f64 wj (exp.f64 wj) (exp.f64 wj))) (exp.f64 wj)) (/.f64 x (fma.f64 wj (exp.f64 wj) (exp.f64 wj))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))))
(-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 (/.f64 x (+.f64 wj 1)) (exp.f64 wj)))

eval335.0ms (2.6%)

Compiler

Compiled 24991 to 7793 computations (68.8% saved)

prune229.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New77615791
Fresh000
Picked101
Done101
Total77815793
Error
0.0b
Counts
793 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
7.2b
x
54.6b
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
1.0b
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
61.4b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
6.8b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
33.9b
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))
32.4b
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 2) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))
61.6b
wj
1.0b
(fma.f64 wj (*.f64 wj (fma.f64 x 5/2 1)) (*.f64 x (fma.f64 -2 wj 1)))
12.1b
(pow.f64 (cbrt.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) 3)
11.0b
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
11.2b
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1)))
11.2b
(-.f64 wj (/.f64 (-.f64 wj (*.f64 x (-.f64 1 wj))) (+.f64 wj 1)))
6.6b
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
0.8b
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
Compiler

Compiled 618 to 394 computations (36.2% saved)

localize106.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 (*.f64 -4 x) (*.f64 3/2 x))
1.0b
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))
3.5b
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
8.9b
(*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2))
Compiler

Compiled 245 to 181 computations (26.1% saved)

series12.0ms (0.1%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
4.0ms
wj
@0
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
1.0ms
wj
@0
(*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2))
1.0ms
x
@0
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
1.0ms
x
@0
(*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2))
1.0ms
x
@inf
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
329×associate-+r+
296×+-commutative
279×add-sqr-sqrt-binary64
265×pow1-binary64
263×*-un-lft-identity-binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02555
157147
2758647
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2))
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))
(+.f64 (*.f64 -4 x) (*.f64 3/2 x))
Outputs
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(fma.f64 x -3 1) 3)) (+.f64 (*.f64 (fma.f64 x -3 1) (fma.f64 x -3 1)) (-.f64 (pow.f64 (*.f64 x 5) 2) (*.f64 (fma.f64 x -3 1) (*.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (pow.f64 (+.f64 1 (*.f64 x 5)) 2))) (neg.f64 (-.f64 (-.f64 (*.f64 x -3) (*.f64 x 5)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) (pow.f64 (+.f64 1 (*.f64 x 5)) 3))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (+.f64 1 (*.f64 x 5)) (-.f64 (+.f64 1 (*.f64 x 5)) (*.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 5) (fma.f64 x -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (*.f64 x 5)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -3) (+.f64 1 (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 (+.f64 1 (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x (+.f64 1 (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x 5))) 2) (cbrt.f64 (+.f64 1 (*.f64 x 5))) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) 2) (cbrt.f64 (*.f64 x -3)) (+.f64 1 (*.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (*.f64 x 5))) (hypot.f64 1 (sqrt.f64 (*.f64 x 5))) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) (+.f64 1 (*.f64 x 5)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 x) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 16 (*.f64 x x)) (*.f64 x -11/2)) (/.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 x -11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -5/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -5/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -5/2)) (pow.f64 (cbrt.f64 (*.f64 x -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/2)) 2) (cbrt.f64 (*.f64 x -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -5/2)) (sqrt.f64 (*.f64 x -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -5/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -5/2) (*.f64 x -11/2)) (/.f64 1 (*.f64 x -11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -64 (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 16 (*.f64 x x)) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 -4 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x -11/2) (*.f64 (*.f64 x -5/2) (*.f64 x -11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 16 (*.f64 x x)) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 -4 x)))) (+.f64 (*.f64 -64 (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -5/2) (*.f64 x -11/2)) (*.f64 x -11/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -64 (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 3))) (+.f64 (*.f64 16 (*.f64 x x)) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -64 (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 3))) (+.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (*.f64 16 (*.f64 x x)) (*.f64 (*.f64 (*.f64 -4 x) 3/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x -5/2) (*.f64 x -11/2))) (neg.f64 (*.f64 x -11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -64 (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 16 (*.f64 x x)) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 -4 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 16 (*.f64 x x))) (-.f64 (*.f64 x 3/2) (*.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -5/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -5/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -125/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 25/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -125/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -5/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -4 x) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3/2) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 x (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -4 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/2 (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 x (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 x)) 2) (cbrt.f64 (*.f64 -4 x)) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/4 (*.f64 x x))) (cbrt.f64 (*.f64 x 3/2)) (*.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4 x)) (sqrt.f64 (*.f64 -4 x)) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)) (*.f64 -4 x))))))

simplify86.0ms (0.7%)

Algorithm
egg-herbie
Rules
870×associate-+l-
600×fma-def
423×*-commutative
414×distribute-lft-in
410×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040588
199570
2306540
3971480
42664480
53057480
63486480
74562480
86519480
Stop Event
node limit
Counts
239 → 198
Calls
Call 1
Inputs
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(*.f64 5/2 (*.f64 (pow.f64 wj 2) x))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(*.f64 5/2 (*.f64 (pow.f64 wj 2) x))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(pow.f64 wj 3)
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(*.f64 8/3 (*.f64 (pow.f64 wj 3) x))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(*.f64 8/3 (*.f64 (pow.f64 wj 3) x))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
(*.f64 -5/2 x)
Outputs
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(*.f64 5/2 (*.f64 (pow.f64 wj 2) x))
(*.f64 5/2 (*.f64 (*.f64 wj wj) x))
(*.f64 (*.f64 5/2 x) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (*.f64 5/2 x))
(*.f64 wj (*.f64 5/2 (*.f64 wj x)))
(*.f64 wj (*.f64 x (*.f64 wj 5/2)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(*.f64 5/2 (*.f64 (pow.f64 wj 2) x))
(*.f64 5/2 (*.f64 (*.f64 wj wj) x))
(*.f64 (*.f64 5/2 x) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (*.f64 5/2 x))
(*.f64 wj (*.f64 5/2 (*.f64 wj x)))
(*.f64 wj (*.f64 x (*.f64 wj 5/2)))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(+.f64 (pow.f64 wj 2) (*.f64 5/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj wj) (*.f64 5/2 (*.f64 (*.f64 wj wj) x)))
(fma.f64 wj wj (*.f64 (*.f64 5/2 x) (*.f64 wj wj)))
(*.f64 (+.f64 (*.f64 5/2 x) 1) (*.f64 wj wj))
(*.f64 (*.f64 wj wj) (fma.f64 5/2 x 1))
(pow.f64 wj 3)
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 8/3 (*.f64 (pow.f64 wj 3) x))
(*.f64 8/3 (*.f64 x (pow.f64 wj 3)))
(*.f64 x (*.f64 (pow.f64 wj 3) 8/3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 8/3 (*.f64 (pow.f64 wj 3) x))
(*.f64 8/3 (*.f64 x (pow.f64 wj 3)))
(*.f64 x (*.f64 (pow.f64 wj 3) 8/3))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(+.f64 (*.f64 8/3 (*.f64 (pow.f64 wj 3) x)) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
(*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
(fma.f64 8/3 (*.f64 x (pow.f64 wj 3)) (pow.f64 wj 3))
(*.f64 (pow.f64 wj 3) (+.f64 1 (*.f64 x 8/3)))
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)
(*.f64 -5/2 x)
(*.f64 x -5/2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
0.0b
(*.f64 -2 (*.f64 wj x))
Compiler

Compiled 20 to 9 computations (55% saved)

series5.0ms (0%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
1.0ms
wj
@0
(*.f64 -2 (*.f64 wj x))
1.0ms
wj
@inf
(*.f64 -2 (*.f64 wj x))
1.0ms
x
@inf
(*.f64 -2 (*.f64 wj x))
1.0ms
x
@0
(*.f64 -2 (*.f64 wj x))
0.0ms
wj
@-inf
(*.f64 -2 (*.f64 wj x))

rewrite63.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
811×pow1-binary64
755×add-exp-log-binary64
755×expm1-log1p-u-binary64
755×log1p-expm1-u-binary64
741×add-log-exp-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115315
2201815
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(*.f64 -2 (*.f64 wj x))
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 wj (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 wj x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 wj (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -2 wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 wj x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 wj (*.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 wj (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 wj (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 wj (*.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 wj (*.f64 x -2))) 2) (cbrt.f64 (*.f64 wj (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 wj x)) 2) (*.f64 (cbrt.f64 (*.f64 wj x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 wj (*.f64 x -2))) (sqrt.f64 (*.f64 wj (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 wj x)) (*.f64 (sqrt.f64 (*.f64 wj x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 wj) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 x) wj)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 wj x)) 2)) (cbrt.f64 (*.f64 wj x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sqrt.f64 (*.f64 wj x))) (sqrt.f64 (*.f64 wj x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 wj) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 wj) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 wj) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 wj (*.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 wj (*.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 wj (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 wj) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 wj (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 wj (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 wj (*.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 wj (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj (*.f64 x -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -2 (*.f64 wj x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (-.f64 (*.f64 wj (*.f64 x -2)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 wj (*.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 -2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -2 wj) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (*.f64 wj x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (*.f64 wj x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) (pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) 2) (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)) (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 wj (*.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x (-.f64 x (*.f64 wj (*.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -2 wj) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 wj (*.f64 x -2)) x) (-.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x (-.f64 x (*.f64 wj (*.f64 x -2))))) (+.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x x)) (-.f64 (*.f64 wj (*.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x (-.f64 x (*.f64 wj (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x (*.f64 wj (*.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 wj x) 2) 4)) (-.f64 x (*.f64 wj (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 wj (*.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 wj (*.f64 x -2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 wj x) 2) 4) (*.f64 x (-.f64 x (*.f64 wj (*.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (*.f64 wj x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 wj x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 wj x) -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 wj (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 wj (*.f64 x -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 wj (*.f64 x -2))) 2) (cbrt.f64 (*.f64 wj (*.f64 x -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 wj (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 wj (*.f64 x -2))) (sqrt.f64 (*.f64 wj (*.f64 x -2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 wj (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 wj) x x)))))

simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
169×fma-def
131×associate-*r*
71×*-commutative
66×associate-+r+
63×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018111
135111
272111
3147111
4283111
5534111
6838111
71085111
81131111
91137111
Stop Event
saturated
Counts
85 → 74
Calls
Call 1
Inputs
x
(*.f64 -2 (*.f64 wj x))
(*.f64 -2 (*.f64 wj x))
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
Outputs
x
(*.f64 -2 (*.f64 wj x))
(*.f64 -2 (*.f64 x wj))
(*.f64 x (*.f64 -2 wj))
(*.f64 -2 (*.f64 wj x))
(*.f64 -2 (*.f64 x wj))
(*.f64 x (*.f64 -2 wj))
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 -2 (*.f64 x wj) x)

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x))
0.0b
(/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1))
4.6b
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1)))
Compiler

Compiled 93 to 54 computations (41.9% saved)

series15.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite187.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
678×associate-/r/
300×associate-+l+
247×+-commutative
225×associate-+r+
187×add-sqr-sqrt-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
134660
2555160
Stop Event
node limit
Counts
3 → 254
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1)))
(/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1))
(*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (/.f64 (+.f64 (neg.f64 wj) (-.f64 x (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)))) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (*.f64 (/.f64 (+.f64 (neg.f64 wj) (-.f64 x (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)))) (+.f64 wj 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (/.f64 (+.f64 (neg.f64 wj) (-.f64 x (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)))) (+.f64 wj 1)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)) (-.f64 wj x)) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 wj) (-.f64 x (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)))) (+.f64 wj 1)) 1) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj (fma.f64 x (*.f64 wj -1/2) x)) (-.f64 wj x)) (+.f64 wj 1)))))))) 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egg-rr> (2) ((x fma.f64 wj (*.f64 wj (*.f64 x -1/2)) (*.f64 wj x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 wj (*.f64 x -1/2)) wj (*.f64 wj x))))))

simplify106.0ms (0.8%)

Algorithm
egg-herbie
Rules
919×fma-def
540×associate--l+
528×+-commutative
424×associate--r+
319×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631828
15681614
221641393
Stop Event
node limit
Counts
326 → 323
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 (-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 x) (*.f64 -1 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 (pow.f64 wj 3) (-.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 2 x)))) (+.f64 (*.f64 (-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 x) (*.f64 -1 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(*.f64 (-.f64 1 (*.f64 -1/2 x)) wj)
(+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (+.f64 (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))) (*.f64 2 (/.f64 x wj))))) (*.f64 -1/2 (/.f64 x wj)))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (+.f64 (*.f64 2 (/.f64 x wj)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))))))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 wj 2))) (+.f64 (/.f64 x (pow.f64 wj 2)) (*.f64 -1/2 (/.f64 x wj))))))
(*.f64 (+.f64 1 (*.f64 1/2 x)) wj)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)) wj)) (+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)) wj)) (+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) (+.f64 1 x)) (pow.f64 wj 2))) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)))))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x)
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(*.f64 -1 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1 x)) (+.f64 1 x)) (pow.f64 wj 2)) (*.f64 -1 x)))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1 x)) (+.f64 1 x)) (pow.f64 wj 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 x) (*.f64 -1 x))) (pow.f64 wj 3)))))
(*.f64 -1/2 (*.f64 wj x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 wj x)) x)) (*.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 wj x)) (+.f64 x (*.f64 -1/2 (/.f64 x wj)))))) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 wj) (/.f64 x wj))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 wj 2)) (+.f64 (/.f64 x (pow.f64 wj 2)) (+.f64 (*.f64 -1/2 (*.f64 wj x)) (+.f64 x (*.f64 -1/2 (/.f64 x wj)))))))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 wj 2))) (/.f64 x wj))))))
(*.f64 -1/2 (*.f64 wj x))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1/2 (*.f64 wj x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1/2 x)))) wj)) (*.f64 -1/2 (*.f64 wj x)))) (*.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1/2 x)))) wj)) (+.f64 (/.f64 x (pow.f64 wj 2)) (*.f64 -1/2 (*.f64 wj x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1/2 x)) (pow.f64 wj 2))) (*.f64 -1/2 x)))
(/.f64 wj (+.f64 1 wj))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1)) (+.f64 1 wj))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1) x) (+.f64 1 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1) x) (+.f64 1 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1) x) (+.f64 1 wj)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) 1) x) (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) 1) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) 1) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) 1) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(*.f64 wj x)
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 wj 2) x))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 wj 2) x))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(+.f64 (*.f64 wj x) (*.f64 -1/2 (*.f64 (pow.f64 wj 2) x)))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(+.f64 (*.f64 (-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 x) (*.f64 -1 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(fma.f64 (-.f64 (+.f64 x 1) (*.f64 x -3/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 (+.f64 x (fma.f64 3/2 x 1)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj (+.f64 wj (*.f64 (*.f64 x 5/2) wj)) x))
(+.f64 (*.f64 (pow.f64 wj 3) (-.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 2 x)))) (+.f64 (*.f64 (-.f64 (+.f64 1 x) (+.f64 (*.f64 -1/2 x) (*.f64 -1 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(fma.f64 (pow.f64 wj 3) (-.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x 2))) (fma.f64 (-.f64 (+.f64 x 1) (*.f64 x -3/2)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (pow.f64 wj 3) (+.f64 (fma.f64 x -1/2 -1) (*.f64 -2 x)) (fma.f64 (+.f64 x (fma.f64 3/2 x 1)) (*.f64 wj wj) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (fma.f64 -2 wj 1) x (*.f64 (*.f64 wj wj) (+.f64 (+.f64 1 (*.f64 x 5/2)) (*.f64 wj (+.f64 -1 (*.f64 x -5/2))))))
(*.f64 (-.f64 1 (*.f64 -1/2 x)) wj)
(*.f64 wj (+.f64 1 (*.f64 x 1/2)))
(*.f64 wj (fma.f64 x 1/2 1))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))))
(fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (neg.f64 (+.f64 1 (*.f64 3/2 x))))
(fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (+.f64 (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))) (*.f64 2 (/.f64 x wj))))) (*.f64 -1/2 (/.f64 x wj)))
(+.f64 (/.f64 1 wj) (-.f64 (fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (fma.f64 -1 (+.f64 1 (*.f64 3/2 x)) (*.f64 2 (/.f64 x wj)))) (*.f64 -1/2 (/.f64 x wj))))
(+.f64 (/.f64 1 wj) (+.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 2 (/.f64 x wj) (fma.f64 x -3/2 -1))) (/.f64 (*.f64 x 1/2) wj)))
(+.f64 (/.f64 1 wj) (+.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1)) (*.f64 (/.f64 x wj) 5/2)))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 (-.f64 1 (*.f64 -1/2 x)) wj) (+.f64 (*.f64 2 (/.f64 x wj)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 x) x))))))) (+.f64 (/.f64 1 (pow.f64 wj 2)) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 wj 2))) (+.f64 (/.f64 x (pow.f64 wj 2)) (*.f64 -1/2 (/.f64 x wj))))))
(+.f64 (/.f64 1 wj) (-.f64 (fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (fma.f64 2 (/.f64 x wj) (fma.f64 -1 (/.f64 x (*.f64 wj wj)) (neg.f64 (+.f64 1 (*.f64 3/2 x)))))) (+.f64 (/.f64 1 (*.f64 wj wj)) (fma.f64 1/2 (/.f64 x (*.f64 wj wj)) (+.f64 (*.f64 -1/2 (/.f64 x wj)) (/.f64 x (*.f64 wj wj)))))))
(+.f64 (/.f64 1 wj) (-.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 2 (/.f64 x wj) (-.f64 (fma.f64 x -3/2 -1) (/.f64 x (*.f64 wj wj))))) (+.f64 (*.f64 3/2 (/.f64 x (*.f64 wj wj))) (+.f64 (*.f64 -1/2 (/.f64 x wj)) (/.f64 (/.f64 1 wj) wj)))))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 2 (/.f64 x wj) (fma.f64 x -3/2 -1))) (/.f64 (-.f64 -1 x) (*.f64 wj wj)))) (fma.f64 -1/2 (/.f64 x wj) (*.f64 (/.f64 x (*.f64 wj wj)) 3/2)))
(*.f64 (+.f64 1 (*.f64 1/2 x)) wj)
(*.f64 wj (+.f64 1 (*.f64 x 1/2)))
(*.f64 wj (fma.f64 x 1/2 1))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)))
(fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (neg.f64 (+.f64 1 (*.f64 3/2 x))))
(fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)) wj)) (+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 x) (fma.f64 -1 (*.f64 x -3/2) 1)) wj) (fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (neg.f64 (fma.f64 -1 (*.f64 x -3/2) 1))))
(-.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1)) (/.f64 (-.f64 (fma.f64 x -3/2 -1) x) wj))
(-.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1)) (/.f64 (+.f64 -1 (*.f64 x -5/2)) wj))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)) wj)) (+.f64 (*.f64 (+.f64 1 (*.f64 1/2 x)) wj) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) (+.f64 1 x)) (pow.f64 wj 2))) (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) (*.f64 1/2 x))) 1)))))
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 x) (fma.f64 -1 (*.f64 x -3/2) 1)) wj) (fma.f64 (+.f64 1 (*.f64 x 1/2)) wj (*.f64 -1 (+.f64 (/.f64 (-.f64 (+.f64 x 1) (*.f64 x -3/2)) (*.f64 wj wj)) (fma.f64 -1 (*.f64 x -3/2) 1)))))
(+.f64 (/.f64 (+.f64 x (fma.f64 3/2 x 1)) wj) (+.f64 (fma.f64 wj (fma.f64 x 1/2 1) (fma.f64 x -3/2 -1)) (/.f64 (-.f64 (fma.f64 x -3/2 -1) x) (*.f64 wj wj))))
(+.f64 (fma.f64 x -3/2 -1) (-.f64 (fma.f64 wj (fma.f64 x 1/2 1) (/.f64 (+.f64 -1 (*.f64 x -5/2)) (*.f64 wj wj))) (/.f64 (+.f64 -1 (*.f64 x -5/2)) wj)))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x)
(*.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))))
(*.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))))
(*.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (+.f64 1 (*.f64 wj -1/2)) (/.f64 (+.f64 wj 1) wj))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 wj -1/2 1)) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 0 (/.f64 (fma.f64 wj (fma.f64 wj -1/2 1) -1) (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)
(*.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 1/2 wj -1)) (+.f64 wj 1))))
(*.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (*.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj)))
(fma.f64 x (*.f64 wj (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1))) (/.f64 x (+.f64 wj 1)))
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (*.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 1/2 wj -1)) (+.f64 wj 1)))) (/.f64 wj (+.f64 wj 1))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (*.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj)) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj (/.f64 1 (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (*.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 1/2 wj -1)) (+.f64 wj 1)))) (/.f64 wj (+.f64 wj 1))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (*.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj)) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj (/.f64 1 (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 wj (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 wj) 1) wj) (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x)) (/.f64 wj (+.f64 1 wj)))
(+.f64 wj (-.f64 (*.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 (*.f64 wj (fma.f64 1/2 wj -1)) (+.f64 wj 1)))) (/.f64 wj (+.f64 wj 1))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1 (+.f64 wj 1)) (*.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj)) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 wj 1/2 -1) (+.f64 wj 1)) wj (/.f64 1 (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(fma.f64 wj (+.f64 1 (-.f64 x (neg.f64 x))) (neg.f64 x))
(fma.f64 wj (+.f64 x (+.f64 x 1)) (neg.f64 x))
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(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 (+.f64 1 (*.f64 -1/2 wj)) (*.f64 wj x))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 wj) 1) (*.f64 wj x)))
(fma.f64 wj x (*.f64 -1/2 (*.f64 x (*.f64 wj wj))))
(*.f64 x (+.f64 wj (*.f64 -1/2 (*.f64 wj wj))))
(*.f64 (*.f64 x wj) (fma.f64 wj -1/2 1))

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))
0.0b
(*.f64 -2 (*.f64 wj x))
0.5b
(+.f64 (*.f64 -4 x) (*.f64 3/2 x))
8.9b
(*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2))
Compiler

Compiled 83 to 55 computations (33.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))
0.0ms
x
@inf
(-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))
0.0ms
x
@-inf
(-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))

rewrite95.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
440×*-commutative
415×associate-*r/
355×distribute-lft-in
347×distribute-rgt-in
314×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
12017
226037
Stop Event
node limit
Counts
1 → 87
Calls
Call 1
Inputs
(-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))
Outputs
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(*.f64 x 5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x 5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (*.f64 x 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x 5/2))))))))

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def
1-exp-binary64
*-commutative
+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
11054
21254
Stop Event
saturated
Counts
99 → 91
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
(*.f64 5/2 x)
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
(*.f64 5/2 x)
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
(+.f64 1 (*.f64 5/2 x))
Outputs
1
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(*.f64 5/2 x)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(*.f64 5/2 x)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)
(+.f64 1 (*.f64 5/2 x))
(fma.f64 5/2 x 1)

localize76.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (exp.f64 wj))
0.0b
(pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)
4.6b
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
29.0b
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
Compiler

Compiled 74 to 31 computations (58.1% saved)

series91.0ms (0.7%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
51.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
9.0ms
wj
@0
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
9.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
8.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
4.0ms
wj
@-inf
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)

rewrite285.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
684×distribute-lft-in
634×associate-/r/
487×associate-/l/
156×add-sqr-sqrt-binary64
150×pow1-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
133439
2445939
Stop Event
node limit
Counts
2 → 213
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
(pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (*.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (*.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (+.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) (fma.f64 (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)) 1 (/.f64 (-.f64 wj (/.f64 x 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(pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 3)) 3) (pow.f64 (fma.f64 wj wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3)))))))

simplify210.0ms (1.6%)

Algorithm
egg-herbie
Rules
473×fma-def
383×associate-*r*
350×associate-+l-
311×associate-+r-
297×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04276111
115985209
271525208
Stop Event
node limit
Counts
261 → 298
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) x)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3)))) (pow.f64 wj 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3)))) (pow.f64 wj 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x)) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 -3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) x)) (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x))) x)))) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 3) (pow.f64 x 2))))) (pow.f64 wj 3)) (pow.f64 x 2))) x)))
wj
(-.f64 wj 1)
(-.f64 (+.f64 wj (*.f64 1/3 (/.f64 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj))) 1)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (/.f64 x (exp.f64 wj))))) (+.f64 (*.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj)))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 x (exp.f64 wj)))) (*.f64 -2 (+.f64 1 (/.f64 x (exp.f64 wj)))))))) (*.f64 -2 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))))) (pow.f64 wj 2))) (+.f64 wj (*.f64 1/3 (/.f64 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj)))) 1)
(*.f64 -1 (*.f64 (cbrt.f64 -1) wj))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 -1) wj)))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) (+.f64 3 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) wj))) (*.f64 -1 (*.f64 (cbrt.f64 -1) wj))))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (+.f64 (*.f64 2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1)) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 1 (*.f64 -2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) (+.f64 3 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 wj 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) (+.f64 3 (*.f64 3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) wj))) (*.f64 -1 (*.f64 (cbrt.f64 -1) wj)))))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2)) 1/3) (*.f64 x (+.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))) (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (exp.f64 wj)))))))))) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2)) 1/3) (*.f64 x (+.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))) (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (exp.f64 wj)))))))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))))) (+.f64 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 wj (/.f64 wj (+.f64 1 wj)))) 1/3) (pow.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) 2))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))))) (pow.f64 x 2)) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2))) wj)) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2)) 1/3) (*.f64 x (+.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))) (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (exp.f64 wj)))))))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 5)) 1/3) (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (+.f64 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 wj (/.f64 wj (+.f64 1 wj)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))) (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (exp.f64 wj))))))) 2))))))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) 3) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2))))) (pow.f64 x 3)) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))))) (+.f64 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 wj (/.f64 wj (+.f64 1 wj)))) 1/3) (pow.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) 2))) (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))))) (pow.f64 x 2)) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2))) wj))) (/.f64 wj (+.f64 1 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
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(pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) 2)))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))) x)) (/.f64 x (*.f64 (exp.f64 wj) (+.f64 1 wj))))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) x) (*.f64 (+.f64 1 wj) (exp.f64 wj))))
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(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (pow.f64 wj 2)) (pow.f64 x 3)))
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(pow.f64 wj 3)
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (+.f64 (pow.f64 wj 3) (*.f64 (+.f64 6 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj)))
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(pow.f64 wj 3)
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) 3) wj)) (+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) 3) wj)) (+.f64 (*.f64 2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1)) (+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))))))) 1)
(pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3)))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3)))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))))) x))))
(+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))))) x)))))
Outputs
x
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) x)
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 x 3) -6) (*.f64 wj (cbrt.f64 (/.f64 1 (*.f64 x x))))) x)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3)))) (pow.f64 wj 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) x))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 x x) (fma.f64 8 (pow.f64 x 3) (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6) 2) (cbrt.f64 (/.f64 1 x))))) (/.f64 (*.f64 x x) (*.f64 wj wj))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 x 3) -6) (*.f64 wj (cbrt.f64 (/.f64 1 (*.f64 x x))))) x))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 wj wj) x) (/.f64 (+.f64 (fma.f64 (*.f64 x x) (+.f64 1 (*.f64 x 5/2)) (fma.f64 x (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4))) (*.f64 (pow.f64 x 3) 8))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (*.f64 (pow.f64 x 3) -6) 2))) x)) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 x 3) -6) (*.f64 wj (cbrt.f64 (/.f64 1 (*.f64 x x))))) x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3)))) (pow.f64 wj 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x)) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 -3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) x)) (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x))) x)))) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) (-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) 3) (pow.f64 x 2))))) (pow.f64 wj 3)) (pow.f64 x 2))) x)))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 x x) (fma.f64 8 (pow.f64 x 3) (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6) 2) (cbrt.f64 (/.f64 1 x))))) (/.f64 (*.f64 x x) (*.f64 wj wj))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 x 3) -6) (*.f64 wj (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -4 (*.f64 (*.f64 x x) (-.f64 1 (*.f64 x -5/2))) (fma.f64 -1 (*.f64 (*.f64 x x) (fma.f64 -3 x (fma.f64 2/3 x (+.f64 1 (*.f64 -2 (*.f64 x -5/2)))))) (fma.f64 -2 (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))) (*.f64 x (fma.f64 -2 (*.f64 x (fma.f64 2/3 x (+.f64 1 (fma.f64 -3 x (*.f64 -2 (*.f64 x -5/2)))))) (*.f64 (*.f64 -4 (-.f64 1 (*.f64 x -5/2))) x)))))) (fma.f64 2/3 (*.f64 (*.f64 (*.f64 (pow.f64 x 3) -6) (+.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 x x) (fma.f64 8 (pow.f64 x 3) (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6) 2) (cbrt.f64 (/.f64 1 x)))))) (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/27 (/.f64 (pow.f64 (*.f64 (pow.f64 x 3) -6) 3) (*.f64 x x))))) (/.f64 (*.f64 x x) (pow.f64 wj 3))) x)))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 wj wj) x) (/.f64 (+.f64 (fma.f64 (*.f64 x x) (+.f64 1 (*.f64 x 5/2)) (fma.f64 x (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4))) (*.f64 (pow.f64 x 3) 8))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (*.f64 (pow.f64 x 3) -6) 2))) x)) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 x 3) -6) (*.f64 wj (cbrt.f64 (/.f64 1 (*.f64 x x))))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 wj 3) x) (/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 -4 (*.f64 -4 (*.f64 x 5/2))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3)))))) (-.f64 (*.f64 x (+.f64 (*.f64 -2 (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4)))) (*.f64 x (+.f64 (+.f64 -4 (*.f64 -4 (*.f64 x 5/2))) (*.f64 -2 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3)))))))) (fma.f64 2/3 (*.f64 (+.f64 (fma.f64 (*.f64 x x) (+.f64 1 (*.f64 x 5/2)) (fma.f64 x (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4))) (*.f64 (pow.f64 x 3) 8))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (*.f64 (pow.f64 x 3) -6) 2))) (*.f64 (*.f64 (pow.f64 x 3) -6) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/27 (/.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -216) (*.f64 x x)))))) x)) x)))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 wj (*.f64 1/3 (/.f64 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj))) 1)
(+.f64 wj (-.f64 (*.f64 1/3 (/.f64 (+.f64 3 (*.f64 3 (/.f64 x (exp.f64 wj)))) wj)) 1))
(+.f64 wj (fma.f64 1/3 (/.f64 (fma.f64 3 (/.f64 x (exp.f64 wj)) 3) wj) -1))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (/.f64 x (exp.f64 wj))))) (+.f64 (*.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj)))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 x (exp.f64 wj)))) (*.f64 -2 (+.f64 1 (/.f64 x (exp.f64 wj)))))))) (*.f64 -2 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))))) (pow.f64 wj 2))) (+.f64 wj (*.f64 1/3 (/.f64 (+.f64 3 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj)))) 1)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 1 (-.f64 (fma.f64 -1 (+.f64 3 (/.f64 (*.f64 2 x) (exp.f64 wj))) (fma.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) -3))) (+.f64 -6 (*.f64 (*.f64 3 (/.f64 x (exp.f64 wj))) -2)))) (*.f64 wj wj)) (+.f64 wj (*.f64 1/3 (/.f64 (+.f64 3 (*.f64 3 (/.f64 x (exp.f64 wj)))) wj)))) -1)
(+.f64 -1 (fma.f64 1/3 (/.f64 (+.f64 (+.f64 -2 (*.f64 -2 (/.f64 x (exp.f64 wj)))) (-.f64 (*.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) -7) (+.f64 -6 (*.f64 -6 (/.f64 x (exp.f64 wj)))))) (*.f64 wj wj)) (fma.f64 1/3 (/.f64 (fma.f64 3 (/.f64 x (exp.f64 wj)) 3) wj) wj)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) wj))
(neg.f64 (*.f64 wj (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 wj))
(+.f64 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 -1) wj)))
(fma.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (neg.f64 (*.f64 wj (cbrt.f64 -1))))
(-.f64 (*.f64 (cbrt.f64 -1) (neg.f64 wj)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))
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(fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) -3) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (+.f64 wj 1) (/.f64 (cbrt.f64 -1) (exp.f64 wj))))) (pow.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) 2))) x)) (fma.f64 1/3 (fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) -3) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (+.f64 wj 1) (/.f64 (cbrt.f64 -1) (exp.f64 wj))))) (pow.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) 2))) (*.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 wj 1) 5) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (exp.f64 wj) 5)))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2))))))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (+.f64 wj 1) 2) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 wj) 2))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))))) (*.f64 (/.f64 (cbrt.f64 -1) (+.f64 wj 1)) (/.f64 (neg.f64 x) (exp.f64 wj)))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (pow.f64 x 3))
(fma.f64 (*.f64 (pow.f64 x 3) -6) wj (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (pow.f64 wj 2)) (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3) -6) wj (fma.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 x x) (fma.f64 8 (pow.f64 x 3) (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))))) (*.f64 wj wj) (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3) -6) wj (fma.f64 (fma.f64 (*.f64 x x) (+.f64 1 (*.f64 x 5/2)) (fma.f64 x (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4))) (*.f64 (pow.f64 x 3) 8))) (*.f64 wj wj) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 3))) wj) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2)) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))) (pow.f64 wj 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) x)) (*.f64 -4 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x))) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 x 2))) (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) x)) (*.f64 4 (pow.f64 x 2))) x))))) (pow.f64 wj 3)) (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3) -6) wj (fma.f64 (fma.f64 (-.f64 1 (*.f64 x -5/2)) (*.f64 x x) (fma.f64 8 (pow.f64 x 3) (*.f64 x (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))))) (*.f64 wj wj) (fma.f64 (fma.f64 -4 (*.f64 (*.f64 x x) (-.f64 1 (*.f64 x -5/2))) (fma.f64 (fma.f64 -2 (*.f64 x (fma.f64 -3 x (fma.f64 2/3 x (+.f64 1 (*.f64 -2 (*.f64 x -5/2)))))) (*.f64 (*.f64 -4 (-.f64 1 (*.f64 x -5/2))) x)) x (fma.f64 -1 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 -3 x (fma.f64 2/3 x (*.f64 -2 (*.f64 x -5/2)))))) (*.f64 (*.f64 -2 (fma.f64 2 (*.f64 x (-.f64 1 (*.f64 x -5/2))) (*.f64 (*.f64 x x) 4))) x)))) (pow.f64 wj 3) (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3) -6) wj (fma.f64 (fma.f64 (*.f64 x x) (+.f64 1 (*.f64 x 5/2)) (fma.f64 x (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4))) (*.f64 (pow.f64 x 3) 8))) (*.f64 wj wj) (fma.f64 (+.f64 (*.f64 x (+.f64 (*.f64 -2 (fma.f64 2 (*.f64 x (+.f64 1 (*.f64 x 5/2))) (*.f64 x (*.f64 x 4)))) (*.f64 x (+.f64 (+.f64 -4 (*.f64 -4 (*.f64 x 5/2))) (*.f64 -2 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3)))))))) (*.f64 (*.f64 x x) (+.f64 (+.f64 -4 (*.f64 -4 (*.f64 x 5/2))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3))))))) (pow.f64 wj 3) (pow.f64 x 3))))
(pow.f64 wj 3)
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))
(fma.f64 -3 (*.f64 wj wj) (pow.f64 wj 3))
(*.f64 (*.f64 wj wj) (+.f64 wj -3))
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (+.f64 (pow.f64 wj 3) (*.f64 (+.f64 6 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj)))
(+.f64 (fma.f64 -3 (*.f64 wj wj) (pow.f64 wj 3)) (*.f64 wj (+.f64 (*.f64 3 (/.f64 x (exp.f64 wj))) 6)))
(fma.f64 (*.f64 wj wj) -3 (fma.f64 wj (fma.f64 3 (/.f64 x (exp.f64 wj)) 6) (pow.f64 wj 3)))
(+.f64 (*.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj)))) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (/.f64 x (exp.f64 wj))))) (+.f64 (*.f64 -3 (pow.f64 wj 2)) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 x (exp.f64 wj)))) (+.f64 (pow.f64 wj 3) (+.f64 (*.f64 -2 (+.f64 1 (/.f64 x (exp.f64 wj)))) (*.f64 (+.f64 6 (+.f64 (*.f64 2 (/.f64 x (exp.f64 wj))) (/.f64 x (exp.f64 wj)))) wj)))))))
(fma.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj))) (fma.f64 -1 (+.f64 3 (/.f64 (*.f64 2 x) (exp.f64 wj))) (fma.f64 -3 (*.f64 wj wj) (fma.f64 -1 (+.f64 1 (/.f64 x (exp.f64 wj))) (+.f64 (pow.f64 wj 3) (fma.f64 -2 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj (+.f64 (*.f64 3 (/.f64 x (exp.f64 wj))) 6))))))))
(fma.f64 -4 (+.f64 1 (/.f64 x (exp.f64 wj))) (-.f64 (+.f64 (+.f64 (+.f64 -2 (*.f64 -2 (/.f64 x (exp.f64 wj)))) (fma.f64 wj (fma.f64 3 (/.f64 x (exp.f64 wj)) 6) (pow.f64 wj 3))) (fma.f64 (*.f64 wj wj) -3 (-.f64 -1 (/.f64 x (exp.f64 wj))))) (fma.f64 2 (/.f64 x (exp.f64 wj)) 3)))
(pow.f64 wj 3)
(+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))
(fma.f64 -3 (*.f64 wj wj) (pow.f64 wj 3))
(*.f64 (*.f64 wj wj) (+.f64 wj -3))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) 3) wj)) (+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3)))
(fma.f64 -1 (*.f64 wj (+.f64 (*.f64 -1 (+.f64 (/.f64 x (exp.f64 wj)) (fma.f64 -2 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) 1))) -3)) (fma.f64 -3 (*.f64 wj wj) (pow.f64 wj 3)))
(-.f64 (*.f64 (*.f64 wj wj) (+.f64 wj -3)) (*.f64 wj (+.f64 -3 (*.f64 -3 (+.f64 1 (/.f64 x (exp.f64 wj)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1))) 3) wj)) (+.f64 (*.f64 2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) 1)) (+.f64 (*.f64 4 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (+.f64 (*.f64 -3 (pow.f64 wj 2)) (pow.f64 wj 3))))))) 1)
(+.f64 (fma.f64 -1 (/.f64 x (exp.f64 wj)) (fma.f64 -1 (*.f64 wj (+.f64 (*.f64 -1 (+.f64 (/.f64 x (exp.f64 wj)) (fma.f64 -2 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) 1))) -3)) (fma.f64 2 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (fma.f64 -1 (fma.f64 -2 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) 1) (fma.f64 4 (fma.f64 -1 (/.f64 x (exp.f64 wj)) -1) (fma.f64 -3 (*.f64 wj wj) (pow.f64 wj 3))))))) -1)
(+.f64 (fma.f64 (neg.f64 (+.f64 -3 (*.f64 -3 (+.f64 1 (/.f64 x (exp.f64 wj)))))) wj (fma.f64 2 (-.f64 -1 (/.f64 x (exp.f64 wj))) (+.f64 (*.f64 (*.f64 wj wj) (+.f64 wj -3)) (+.f64 (*.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) 6) -1)))) (-.f64 -1 (/.f64 x (exp.f64 wj))))
(+.f64 (fma.f64 (neg.f64 (+.f64 -3 (*.f64 -3 (+.f64 1 (/.f64 x (exp.f64 wj)))))) wj (+.f64 (-.f64 (*.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) 6) (fma.f64 -2 (-.f64 -1 (/.f64 x (exp.f64 wj))) 1)) (*.f64 (*.f64 wj wj) (+.f64 wj -3)))) (-.f64 -1 (/.f64 x (exp.f64 wj))))
(pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3)
(pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3))
(fma.f64 (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (exp.f64 wj)) (+.f64 wj 1)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) x (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3))
(fma.f64 x (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (+.f64 wj 1)) (exp.f64 wj)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (exp.f64 wj)) (+.f64 wj 1)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) x (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)) (*.f64 (*.f64 x x) (-.f64 (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2))) (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))))
(fma.f64 x (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (+.f64 wj 1)) (exp.f64 wj)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) (fma.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (exp.f64 wj)) (+.f64 wj 1)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) x (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)) (+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2))) (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))))
(+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) (fma.f64 x (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (+.f64 wj 1)) (exp.f64 wj)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) (fma.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3)))))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3)))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))
(/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2))) (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3))))
(fma.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2))))
(fma.f64 (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (exp.f64 wj)) (+.f64 wj 1)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) x (+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2))) (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))))
(fma.f64 x (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (+.f64 wj 1)) (exp.f64 wj)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) (fma.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (-.f64 (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (+.f64 1 wj)))) (*.f64 2 (/.f64 wj (*.f64 (exp.f64 wj) (pow.f64 (+.f64 1 wj) 2)))))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) x) (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2)))) (+.f64 (*.f64 2 (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 3))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (exp.f64 wj)) (+.f64 wj 1)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) x (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)) (+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2))) (*.f64 3 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))))
(+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) (fma.f64 x (fma.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 2 (-.f64 (/.f64 (/.f64 wj (+.f64 wj 1)) (exp.f64 wj)) (/.f64 (/.f64 wj (exp.f64 wj)) (pow.f64 (+.f64 wj 1) 2)))) (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))) (fma.f64 (*.f64 x x) (*.f64 3 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3)))))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 3)))
(/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))
(/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2)) (-.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2))))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3)))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))))) x))))
(+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3))) (fma.f64 (+.f64 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2)) (-.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2)))) (*.f64 x x) (neg.f64 (*.f64 x (fma.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) (neg.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))))))))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))) (*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) -3)))
(+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 3) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (exp.f64 wj) 3) (pow.f64 (+.f64 1 wj) 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 wj (*.f64 (pow.f64 (exp.f64 wj) 2) (pow.f64 (+.f64 1 wj) 2))) (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) (*.f64 (pow.f64 (+.f64 1 wj) 2) (pow.f64 (exp.f64 wj) 2))))) (/.f64 wj (*.f64 (pow.f64 (+.f64 1 wj) 3) (pow.f64 (exp.f64 wj) 2)))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (+.f64 1 wj) (exp.f64 wj)))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 1 wj))) 2) (*.f64 (exp.f64 wj) (+.f64 1 wj))))) x)))))
(+.f64 (+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 wj 1) 3) (pow.f64 (exp.f64 wj) 3)))) (fma.f64 (+.f64 (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 2)) (pow.f64 (exp.f64 wj) 2)) (-.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 wj (pow.f64 (+.f64 wj 1) 3)) (pow.f64 (exp.f64 wj) 2)))) (*.f64 x x) (neg.f64 (*.f64 x (fma.f64 -2 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) (neg.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1)))))))))
(+.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))) (*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) -3))))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (*.f64 2 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (*.f64 (pow.f64 (+.f64 wj 1) 2) (pow.f64 (exp.f64 wj) 2)))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 wj) 3)) (pow.f64 (+.f64 wj 1) 3))) (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2) (*.f64 (exp.f64 wj) (+.f64 wj 1))) -3)) (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3)))

eval1.5s (11.7%)

Compiler

Compiled 56460 to 34075 computations (39.6% saved)

prune225.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1344131357
Fresh8210
Picked101
Done314
Total1356161372
Error
0.0b
Counts
1372 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
6.7b
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
0.8b
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
32.4b
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 2) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))
6.8b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
6.8b
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
61.4b
(pow.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) 1/3)
61.4b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
11.0b
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
61.6b
wj
12.7b
(-.f64 wj (/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1)) (+.f64 1 wj)))
61.5b
(*.f64 -2 (*.f64 wj x))
1.0b
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj (+.f64 wj (*.f64 (*.f64 x 5/2) wj)) x))
33.9b
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))
0.5b
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
7.2b
x
11.2b
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1)))
Compiler

Compiled 555 to 344 computations (38% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
0.0b
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
0.0b
(*.f64 -2 (*.f64 wj x))
Compiler

Compiled 34 to 14 computations (58.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
518×*-commutative
506×associate-*r/
413×distribute-lft-in
403×distribute-rgt-in
353×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
120612
2293212
Stop Event
node limit
Counts
1 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 wj (+.f64 wj (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj (*.f64 -2 x)) (+.f64 (*.f64 wj wj) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj (*.f64 -2 x)) (*.f64 (+.f64 (*.f64 wj wj) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj (+.f64 wj (*.f64 -2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 wj wj) x) (*.f64 wj (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 wj wj) x) 1) (*.f64 wj (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 wj (+.f64 wj (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) 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egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 wj 4) (pow.f64 wj 4)) (*.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2))) (/.f64 1 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x)))) (+.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2) (pow.f64 wj 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 wj 4) 3) (pow.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2) 3)) (/.f64 1 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x)))) (+.f64 (+.f64 (*.f64 (pow.f64 wj 4) (pow.f64 wj 4)) (*.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2))) (*.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2) (pow.f64 wj 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 wj 6) (pow.f64 wj 6)) (*.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3))) (/.f64 1 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj)))))) (-.f64 (pow.f64 wj 6) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 wj 6) 3) (pow.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj)))))) (+.f64 (*.f64 (pow.f64 wj 6) (pow.f64 wj 6)) (-.f64 (*.f64 (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)) (*.f64 (pow.f64 wj 6) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 wj 4) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2)) 1) (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 wj 4) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))) (cbrt.f64 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))))) (cbrt.f64 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 wj 4) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2)) (sqrt.f64 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x)))) (sqrt.f64 (-.f64 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 wj 4) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 2)) (+.f64 wj (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)))) (-.f64 wj (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 wj 6) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)) 1) (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 wj 6) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))) (cbrt.f64 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))))) (cbrt.f64 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 wj 6) (pow.f64 (fma.f64 -2 (*.f64 wj x) x) 3)) (sqrt.f64 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj)))))) (sqrt.f64 (+.f64 (pow.f64 wj 4) (*.f64 (fma.f64 -2 (*.f64 wj x) x) (-.f64 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 wj (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (expm1.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 wj wj (fma.f64 -2 (*.f64 wj x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 wj wj) (fma.f64 -2 (*.f64 wj x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2 (*.f64 wj x) x) (*.f64 wj wj))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) 2) (cbrt.f64 (fma.f64 -2 (*.f64 wj x) x)) (*.f64 wj wj))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 wj 4)) (pow.f64 (cbrt.f64 wj) 2) (fma.f64 -2 (*.f64 wj x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)) (sqrt.f64 (fma.f64 -2 (*.f64 wj x) x)) (*.f64 wj wj))))))

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Rules
637×distribute-lft-neg-in
544×fma-def
499×associate-+r+
401×associate-+l+
396×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023273
151239
2113237
3239188
4588188
51778188
63790188
77084188
Stop Event
node limit
Counts
121 → 111
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (*.f64 -2 (*.f64 x wj)) (*.f64 wj wj))
(fma.f64 -2 (*.f64 x wj) (*.f64 wj wj))
(*.f64 wj (+.f64 wj (*.f64 x -2)))
(*.f64 wj (fma.f64 x -2 wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (*.f64 -2 (*.f64 x wj)) (*.f64 wj wj))
(fma.f64 -2 (*.f64 x wj) (*.f64 wj wj))
(*.f64 wj (+.f64 wj (*.f64 x -2)))
(*.f64 wj (fma.f64 x -2 wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (*.f64 (+.f64 1 (*.f64 -2 wj)) x) (pow.f64 wj 2))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(*.f64 (+.f64 1 (*.f64 -2 wj)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 1 (*.f64 -2 wj)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (*.f64 wj x))
Compiler

Compiled 13 to 6 computations (53.8% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
4.6b
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1)))
Compiler

Compiled 47 to 15 computations (68.1% saved)

series17.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
wj
@-inf
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
1.0ms
x
@-inf
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
1.0ms
x
@0
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
1.0ms
x
@inf
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
1.0ms
wj
@inf
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))

rewrite186.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
929×associate-/l*
593×associate-/r/
195×associate-+l+
183×+-commutative
136×add-sqr-sqrt-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
124735
2404835
Stop Event
node limit
Counts
2 → 229
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1)))
(/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1))
Outputs
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(pow.f64 (-.f64 x (*.f64 wj x)) 3))) (/.f64 (*.f64 (+.f64 wj 1) (fma.f64 wj wj (*.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj (-.f64 x (*.f64 wj x)))))) (sqrt.f64 (-.f64 (pow.f64 wj 3) (pow.f64 (-.f64 x (*.f64 wj x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x))) (/.f64 (-.f64 -1 wj) (sqrt.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 wj wj) (pow.f64 (-.f64 x (*.f64 wj x)) 2)) (/.f64 1 (+.f64 wj 1))) (+.f64 wj (-.f64 x (*.f64 wj x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 wj 3) (pow.f64 (-.f64 x (*.f64 wj x)) 3)) (/.f64 1 (+.f64 wj 1))) (fma.f64 wj wj (*.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj (-.f64 x (*.f64 wj x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (pow.f64 (cbrt.f64 (+.f64 wj 1)) 2)) (cbrt.f64 (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (sqrt.f64 (+.f64 wj 1))) (sqrt.f64 (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 wj 1) (+.f64 (*.f64 wj x) (-.f64 wj x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 -1 wj) (+.f64 (*.f64 wj x) (-.f64 wj x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 wj x) (-.f64 wj x))) 2)) (/.f64 (-.f64 -1 wj) (cbrt.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)))) (/.f64 (-.f64 -1 wj) (sqrt.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x))) (neg.f64 (-.f64 -1 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (-.f64 x (*.f64 wj x))) (sqrt.f64 wj)) (/.f64 (+.f64 wj 1) (-.f64 (sqrt.f64 wj) (sqrt.f64 (-.f64 x (*.f64 wj x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) (*.f64 (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj))) (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj))))) (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 3) (pow.f64 (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj))) 3)) (+.f64 (*.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) (+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj))) (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj)))) (*.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 x (/.f64 (+.f64 wj 1) (-.f64 1 wj)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 wj (+.f64 wj 1)) (*.f64 (+.f64 wj 1) (-.f64 x (*.f64 wj x)))) (pow.f64 (+.f64 wj 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 wj wj) (pow.f64 (-.f64 x (*.f64 wj x)) 2)) 1) (*.f64 (+.f64 wj (-.f64 x (*.f64 wj x))) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 wj 3) (pow.f64 (-.f64 x (*.f64 wj x)) 3)) 1) (*.f64 (fma.f64 wj wj (*.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj (-.f64 x (*.f64 wj x))))) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 wj 1) (+.f64 (*.f64 wj x) (-.f64 wj x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (-.f64 -1 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (*.f64 wj x) (-.f64 wj x))) (log1p.f64 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 wj x) (-.f64 wj x))) (log1p.f64 wj)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))))))))

simplify103.0ms (0.8%)

Algorithm
egg-herbie
Rules
706×fma-def
632×associate-+r+
487×associate--l+
463×+-commutative
456×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211191
14051139
21553959
37347959
Stop Event
node limit
Counts
277 → 285
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 3)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
wj
(+.f64 (*.f64 -1 (+.f64 1 x)) wj)
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (/.f64 1 wj) (+.f64 wj (*.f64 2 (/.f64 x wj)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (+.f64 wj (*.f64 2 (/.f64 x wj)))))) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2))))
wj
(+.f64 (*.f64 -1 (+.f64 1 x)) wj)
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) wj)) wj))
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) 1) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) wj)) wj)))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x)
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(*.f64 -1 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 2))))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 wj 3) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 2)))))
(+.f64 1 x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 x)) (+.f64 (/.f64 1 wj) (/.f64 x wj)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 (+.f64 (/.f64 x (pow.f64 wj 2)) (+.f64 (/.f64 1 (pow.f64 wj 2)) x)))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (/.f64 x wj))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 wj 2)) (+.f64 (/.f64 x (pow.f64 wj 2)) x))))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (pow.f64 wj 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (+.f64 (/.f64 1 (pow.f64 wj 3)) (/.f64 x wj))))))
(*.f64 -1 (-.f64 (*.f64 -1 x) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2))))) (*.f64 -1 (/.f64 x (pow.f64 wj 2))))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) (pow.f64 wj 3))) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2)))))) (*.f64 -1 (/.f64 x (pow.f64 wj 2))))
(/.f64 wj (+.f64 1 wj))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(fma.f64 (*.f64 wj wj) (+.f64 1 (-.f64 x (neg.f64 x))) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 (*.f64 wj wj) (+.f64 1 (+.f64 x x)) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 x (*.f64 -2 wj) (fma.f64 (*.f64 wj wj) (fma.f64 x 2 1) x))
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 3)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(fma.f64 (*.f64 wj wj) (+.f64 1 (-.f64 x (neg.f64 x))) (fma.f64 (-.f64 (fma.f64 -1 x -1) x) (pow.f64 wj 3) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (*.f64 wj wj) (+.f64 1 (+.f64 x x)) (fma.f64 (-.f64 (-.f64 -1 x) x) (pow.f64 wj 3) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (fma.f64 -2 wj 1) x (*.f64 (*.f64 wj wj) (+.f64 (fma.f64 x 2 1) (*.f64 wj (+.f64 -1 (*.f64 x -2))))))
wj
(+.f64 (*.f64 -1 (+.f64 1 x)) wj)
(fma.f64 -1 (+.f64 x 1) wj)
(+.f64 wj (-.f64 -1 x))
(-.f64 (-.f64 wj x) 1)
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (/.f64 1 wj) (+.f64 wj (*.f64 2 (/.f64 x wj)))))
(fma.f64 -1 (+.f64 x 1) (+.f64 (+.f64 (/.f64 1 wj) wj) (*.f64 2 (/.f64 x wj))))
(+.f64 (fma.f64 2 (/.f64 x wj) wj) (+.f64 (-.f64 -1 x) (/.f64 1 wj)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (+.f64 wj (*.f64 2 (/.f64 x wj)))))) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2))))
(-.f64 (fma.f64 -1 (+.f64 x 1) (+.f64 (/.f64 1 wj) (fma.f64 -1 (/.f64 x (*.f64 wj wj)) (+.f64 wj (*.f64 2 (/.f64 x wj)))))) (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj))))
(+.f64 (+.f64 (/.f64 1 wj) (-.f64 (fma.f64 2 (/.f64 x wj) wj) (/.f64 x (*.f64 wj wj)))) (-.f64 (-.f64 -1 x) (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj)))))
(+.f64 (+.f64 wj (*.f64 (/.f64 x wj) (+.f64 2 (/.f64 -1 wj)))) (-.f64 (+.f64 (-.f64 -1 x) (/.f64 1 wj)) (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj)))))
wj
(+.f64 (*.f64 -1 (+.f64 1 x)) wj)
(fma.f64 -1 (+.f64 x 1) wj)
(+.f64 wj (-.f64 -1 x))
(-.f64 (-.f64 wj x) 1)
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) wj)) wj))
(fma.f64 -1 (+.f64 x 1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 x -1) x) wj) wj))
(+.f64 wj (+.f64 (-.f64 -1 x) (/.f64 (+.f64 1 (+.f64 x x)) wj)))
(+.f64 wj (+.f64 (-.f64 -1 x) (/.f64 (fma.f64 x 2 1) wj)))
(+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 x) 1) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) wj)) wj)))
(fma.f64 -1 (+.f64 x 1) (fma.f64 -1 (/.f64 (fma.f64 2 x 1) (*.f64 wj wj)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 x -1) x) wj) wj)))
(+.f64 (-.f64 -1 x) (-.f64 (-.f64 wj (/.f64 (-.f64 (-.f64 -1 x) x) wj)) (/.f64 (fma.f64 x 2 1) (*.f64 wj wj))))
(+.f64 (-.f64 (-.f64 wj x) 1) (-.f64 (/.f64 (fma.f64 x 2 1) wj) (/.f64 (fma.f64 x 2 1) (*.f64 wj wj))))
(-.f64 wj (/.f64 wj (+.f64 1 wj)))
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x)
(*.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(/.f64 (fma.f64 x (neg.f64 wj) x) (+.f64 wj 1))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 wj)) (/.f64 wj (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x)
(*.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(/.f64 (fma.f64 x (neg.f64 wj) x) (+.f64 wj 1))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 wj (+.f64 1 wj))) (/.f64 1 (+.f64 1 wj))) x) wj) (/.f64 wj (+.f64 1 wj)))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) x wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))) wj) (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 -1 x))
(fma.f64 wj (+.f64 1 (-.f64 x (neg.f64 x))) (neg.f64 x))
(fma.f64 wj (+.f64 1 (+.f64 x x)) (neg.f64 x))
(fma.f64 wj (fma.f64 x 2 1) (neg.f64 x))
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 2))))
(fma.f64 wj (+.f64 1 (-.f64 x (neg.f64 x))) (fma.f64 -1 x (*.f64 (*.f64 wj wj) (-.f64 (fma.f64 -1 x -1) x))))
(fma.f64 wj (+.f64 1 (+.f64 x x)) (-.f64 (*.f64 (*.f64 wj wj) (-.f64 (-.f64 -1 x) x)) x))
(-.f64 (*.f64 wj (+.f64 (fma.f64 x 2 1) (*.f64 wj (+.f64 -1 (*.f64 x -2))))) x)
(+.f64 (*.f64 wj (-.f64 (+.f64 1 x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 wj 3) (-.f64 (+.f64 1 x) (*.f64 -1 x))) (*.f64 (-.f64 (*.f64 -1 x) (+.f64 1 x)) (pow.f64 wj 2)))))
(fma.f64 wj (+.f64 1 (-.f64 x (neg.f64 x))) (fma.f64 -1 x (fma.f64 (pow.f64 wj 3) (+.f64 1 (-.f64 x (neg.f64 x))) (*.f64 (*.f64 wj wj) (-.f64 (fma.f64 -1 x -1) x)))))
(fma.f64 wj (+.f64 1 (+.f64 x x)) (-.f64 (fma.f64 (+.f64 1 (+.f64 x x)) (pow.f64 wj 3) (*.f64 (*.f64 wj wj) (-.f64 (-.f64 -1 x) x))) x))
(-.f64 (fma.f64 wj (fma.f64 x 2 1) (*.f64 (*.f64 wj wj) (+.f64 (+.f64 -1 (*.f64 x -2)) (*.f64 wj (fma.f64 x 2 1))))) x)
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 x)) (+.f64 (/.f64 1 wj) (/.f64 x wj)))
(-.f64 (fma.f64 -1 (/.f64 x wj) (+.f64 x 1)) (+.f64 (/.f64 1 wj) (/.f64 x wj)))
(-.f64 (-.f64 (-.f64 (+.f64 x 1) (/.f64 x wj)) (/.f64 1 wj)) (/.f64 x wj))
(-.f64 (+.f64 x 1) (/.f64 (fma.f64 x 2 1) wj))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 1 (+.f64 (/.f64 x (pow.f64 wj 2)) (+.f64 (/.f64 1 (pow.f64 wj 2)) x)))) (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (/.f64 x wj))))
(-.f64 (fma.f64 -1 (/.f64 x wj) (+.f64 (+.f64 1 (/.f64 1 (*.f64 wj wj))) (+.f64 x (/.f64 x (*.f64 wj wj))))) (+.f64 (/.f64 1 wj) (fma.f64 -1 (/.f64 x (*.f64 wj wj)) (/.f64 x wj))))
(-.f64 (-.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 x (/.f64 1 (*.f64 wj wj))) 1)) (/.f64 x wj)) (+.f64 (/.f64 x wj) (-.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj wj)))))
(+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj))) (-.f64 (+.f64 x 1) (/.f64 (fma.f64 x 2 1) wj))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x wj)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 wj 2)) (+.f64 (/.f64 x (pow.f64 wj 2)) x))))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (pow.f64 wj 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 wj 2))) (+.f64 (/.f64 1 (pow.f64 wj 3)) (/.f64 x wj))))))
(-.f64 (fma.f64 -1 (/.f64 x wj) (fma.f64 -1 (/.f64 x (pow.f64 wj 3)) (+.f64 (+.f64 1 (/.f64 1 (*.f64 wj wj))) (+.f64 x (/.f64 x (*.f64 wj wj)))))) (+.f64 (+.f64 (/.f64 1 wj) (/.f64 x (pow.f64 wj 3))) (fma.f64 -1 (/.f64 x (*.f64 wj wj)) (+.f64 (/.f64 x wj) (/.f64 1 (pow.f64 wj 3))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 x (/.f64 1 (*.f64 wj wj))) 1)) (/.f64 x (pow.f64 wj 3))) (/.f64 x wj)) (+.f64 (/.f64 x (pow.f64 wj 3)) (+.f64 (+.f64 (-.f64 (/.f64 x wj) (/.f64 x (*.f64 wj wj))) (/.f64 1 (pow.f64 wj 3))) (/.f64 1 wj))))
(-.f64 (-.f64 (+.f64 x (+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 1 (/.f64 x (*.f64 wj wj))))) (-.f64 (/.f64 x (pow.f64 wj 3)) (/.f64 (-.f64 -1 x) wj))) (+.f64 (/.f64 x wj) (+.f64 (/.f64 x (pow.f64 wj 3)) (-.f64 (/.f64 1 (pow.f64 wj 3)) (/.f64 x (*.f64 wj wj))))))
(*.f64 -1 (-.f64 (*.f64 -1 x) 1))
(+.f64 x 1)
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)))
(-.f64 (fma.f64 -1 (/.f64 x wj) (+.f64 x 1)) (+.f64 (/.f64 1 wj) (/.f64 x wj)))
(-.f64 (-.f64 (-.f64 (+.f64 x 1) (/.f64 x wj)) (/.f64 1 wj)) (/.f64 x wj))
(-.f64 (+.f64 x 1) (/.f64 (fma.f64 x 2 1) wj))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2))))) (*.f64 -1 (/.f64 x (pow.f64 wj 2))))
(-.f64 (fma.f64 -1 (/.f64 x wj) (+.f64 (+.f64 1 (/.f64 1 (*.f64 wj wj))) (+.f64 x (/.f64 x (*.f64 wj wj))))) (+.f64 (/.f64 1 wj) (fma.f64 -1 (/.f64 x (*.f64 wj wj)) (/.f64 x wj))))
(-.f64 (-.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 x (/.f64 1 (*.f64 wj wj))) 1)) (/.f64 x wj)) (+.f64 (/.f64 x wj) (-.f64 (/.f64 1 wj) (/.f64 x (*.f64 wj wj)))))
(+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj))) (-.f64 (+.f64 x 1) (/.f64 (fma.f64 x 2 1) wj))))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 x) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) wj)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 1 x) (*.f64 -1 x)) (pow.f64 wj 3))) (+.f64 (/.f64 x (pow.f64 wj 2)) (/.f64 1 (pow.f64 wj 2)))))) (*.f64 -1 (/.f64 x (pow.f64 wj 2))))
(-.f64 (fma.f64 -1 (fma.f64 -1 x -1) (fma.f64 -1 (/.f64 (+.f64 1 (-.f64 x (neg.f64 x))) wj) (fma.f64 -1 (/.f64 (+.f64 1 (-.f64 x (neg.f64 x))) (pow.f64 wj 3)) (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj)))))) (/.f64 (neg.f64 x) (*.f64 wj wj)))
(+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (-.f64 (/.f64 (-.f64 (-.f64 -1 x) x) wj) (/.f64 (+.f64 1 (+.f64 x x)) (pow.f64 wj 3))) (+.f64 (/.f64 x (*.f64 wj wj)) (+.f64 (+.f64 x (/.f64 1 (*.f64 wj wj))) 1))))
(+.f64 (+.f64 x 1) (+.f64 (+.f64 (/.f64 x (*.f64 wj wj)) (/.f64 1 (*.f64 wj wj))) (+.f64 (/.f64 x (*.f64 wj wj)) (*.f64 (/.f64 (fma.f64 x 2 1) wj) (+.f64 -1 (/.f64 -1 (*.f64 wj wj)))))))
(/.f64 wj (+.f64 1 wj))
(/.f64 wj (+.f64 wj 1))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (*.f64 (-.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 1 (+.f64 1 wj))) x) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj))
(/.f64 (+.f64 wj -1) (/.f64 (+.f64 wj 1) x))
(*.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (/.f64 wj (+.f64 1 wj)) (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj)))
(/.f64 (+.f64 wj -1) (/.f64 (+.f64 wj 1) x))
(*.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 wj)) x) (+.f64 1 wj))) (/.f64 wj (+.f64 1 wj)))
(fma.f64 (-.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 1 (+.f64 wj 1))) x (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (+.f64 (/.f64 wj (+.f64 wj 1)) (/.f64 -1 (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1)))
(fma.f64 x (/.f64 (+.f64 wj -1) (+.f64 wj 1)) (/.f64 wj (+.f64 wj 1)))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))
0.0b
(/.f64 x (exp.f64 wj))
0.0b
(*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj))
4.6b
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
Compiler

Compiled 74 to 27 computations (63.5% saved)

series20.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
wj
@-inf
(*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj))
2.0ms
wj
@0
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
2.0ms
x
@0
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
1.0ms
x
@-inf
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
1.0ms
x
@inf
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))

rewrite239.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
823×associate-/r/
655×associate-/l/
195×associate-+l+
177×+-commutative
166×add-sqr-sqrt-binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01369
130951
2497251
Stop Event
node limit
Counts
3 → 386
Calls
Call 1
Inputs
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
(*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj))
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) 3) (pow.f64 (-.f64 1 (*.f64 wj wj)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj)))))))))

simplify82.0ms (0.6%)

Algorithm
egg-herbie
Rules
488×associate-+l+
464×associate-*r/
452×associate-+r+
374×+-commutative
298×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01442019
14741906
217281607
372461560
Stop Event
node limit
Counts
458 → 452
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 x (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 x (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 2 x))) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -2 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)))))) (pow.f64 wj 3)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
(-.f64 wj (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 wj (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 wj (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))) x)) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 wj (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))) x)) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 wj (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))) x)) wj) (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))))
(*.f64 -1 x)
(+.f64 (*.f64 wj (+.f64 (*.f64 2 x) 1)) (*.f64 -1 x))
(+.f64 (*.f64 wj (+.f64 (*.f64 2 x) 1)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))) x) (pow.f64 wj 2)) (*.f64 -1 x)))
(+.f64 (*.f64 wj (+.f64 (*.f64 2 x) 1)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))) x) (pow.f64 wj 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -2 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (*.f64 -1 (+.f64 1 (*.f64 2 x)))) (pow.f64 wj 3)) (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(+.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (/.f64 1 (pow.f64 wj 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)) (+.f64 (/.f64 1 (pow.f64 wj 2)) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 x (exp.f64 wj))) 1) (pow.f64 wj 2))) (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) wj)))))
(/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2)))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(*.f64 -1 x)
(+.f64 (*.f64 (+.f64 1 x) wj) (*.f64 -1 x))
(+.f64 (*.f64 (+.f64 1 x) wj) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) x) (pow.f64 wj 2))))
(+.f64 (*.f64 (+.f64 1 x) wj) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (*.f64 -1 (+.f64 1 x))) (pow.f64 wj 3)) (*.f64 (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) x) (pow.f64 wj 2)))))
(/.f64 -1 wj)
(-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(/.f64 -1 wj)
(-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(/.f64 wj (-.f64 1 (pow.f64 wj 2)))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 x (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(fma.f64 (*.f64 wj wj) (-.f64 x (fma.f64 -1 (+.f64 x 1) (*.f64 x -1/2))) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 (*.f64 wj wj) (-.f64 x (+.f64 -1 (*.f64 x -3/2))) (fma.f64 -2 (*.f64 x wj) x))
(fma.f64 (*.f64 wj wj) (+.f64 x (-.f64 1 (*.f64 x -3/2))) (fma.f64 -2 (*.f64 x wj) x))
(+.f64 (*.f64 (pow.f64 wj 2) (-.f64 x (+.f64 (*.f64 -1 (+.f64 1 x)) (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 2 x))) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -2 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)))))) (pow.f64 wj 3)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(fma.f64 (*.f64 wj wj) (-.f64 x (fma.f64 -1 (+.f64 x 1) (*.f64 x -1/2))) (fma.f64 (-.f64 (neg.f64 (fma.f64 2 x 1)) (fma.f64 -1/2 x (fma.f64 1/6 x (*.f64 -2 (*.f64 x -1/2))))) (pow.f64 wj 3) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (*.f64 wj wj) (-.f64 x (+.f64 -1 (*.f64 x -3/2))) (fma.f64 (+.f64 -1 (-.f64 (*.f64 x -2) (fma.f64 x 1/6 (*.f64 x 1/2)))) (pow.f64 wj 3) (fma.f64 -2 (*.f64 x wj) x)))
(fma.f64 (*.f64 wj wj) (+.f64 x (-.f64 1 (*.f64 x -3/2))) (fma.f64 (+.f64 -1 (-.f64 (*.f64 x -2) (*.f64 x 2/3))) (pow.f64 wj 3) (fma.f64 -2 (*.f64 x wj) x)))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(+.f64 (/.f64 1 wj) (-.f64 (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj))) 1))
(+.f64 -1 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 wj (/.f64 1 wj))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) (+.f64 wj (/.f64 1 wj))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) 1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (+.f64 (/.f64 1 wj) (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj))))) -1)
(+.f64 -1 (-.f64 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 wj (/.f64 1 wj))) (/.f64 (+.f64 1 (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(+.f64 wj (+.f64 (+.f64 (/.f64 1 wj) (/.f64 (/.f64 x wj) (exp.f64 wj))) (+.f64 -1 (/.f64 (/.f64 (-.f64 -1 (/.f64 x (exp.f64 wj))) wj) wj))))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) wj)) 1)
(+.f64 (/.f64 1 wj) (-.f64 (+.f64 wj (/.f64 (/.f64 x wj) (exp.f64 wj))) 1))
(+.f64 -1 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 wj (/.f64 1 wj))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 x wj) (exp.f64 wj)) (+.f64 wj (/.f64 1 wj))))
(-.f64 (+.f64 (/.f64 1 wj) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) wj))) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
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1
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1
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(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj))))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (exp.f64 wj)))
(*.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj))))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (exp.f64 wj)))
(*.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(+.f64 (/.f64 (*.f64 (-.f64 1 wj) wj) (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 wj) x) (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 (*.f64 wj (-.f64 1 wj)) (-.f64 1 (*.f64 wj wj))) (neg.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (/.f64 x (exp.f64 wj)))))
(-.f64 (*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) wj) (/.f64 (/.f64 (-.f64 1 wj) (/.f64 (-.f64 1 (*.f64 wj wj)) x)) (exp.f64 wj)))
(*.f64 (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj))) (-.f64 wj (/.f64 x (exp.f64 wj))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 (+.f64 1 x) wj) (*.f64 -1 x))
(fma.f64 (+.f64 x 1) wj (neg.f64 x))
(-.f64 (*.f64 wj (+.f64 x 1)) x)
(fma.f64 wj (+.f64 x 1) (neg.f64 x))
(+.f64 (*.f64 (+.f64 1 x) wj) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) x) (pow.f64 wj 2))))
(fma.f64 (+.f64 x 1) wj (fma.f64 -1 x (*.f64 (*.f64 wj wj) (-.f64 (*.f64 x -1/2) x))))
(fma.f64 wj (+.f64 x 1) (fma.f64 (*.f64 wj wj) (*.f64 x -3/2) (neg.f64 x)))
(-.f64 (*.f64 wj (+.f64 (+.f64 x 1) (*.f64 x (*.f64 -3/2 wj)))) x)
(+.f64 (*.f64 (+.f64 1 x) wj) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/6 x) (*.f64 -1 (+.f64 (*.f64 1/2 x) (*.f64 -1 x))))) (*.f64 -1 (+.f64 1 x))) (pow.f64 wj 3)) (*.f64 (-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1 x)) x) (pow.f64 wj 2)))))
(fma.f64 (+.f64 x 1) wj (fma.f64 -1 x (fma.f64 (-.f64 (fma.f64 -1/2 x (fma.f64 1/6 x (neg.f64 (*.f64 x -1/2)))) (+.f64 -1 (neg.f64 x))) (pow.f64 wj 3) (*.f64 (*.f64 wj wj) (-.f64 (*.f64 x -1/2) x)))))
(fma.f64 wj (+.f64 x 1) (-.f64 (fma.f64 (pow.f64 wj 3) (+.f64 (*.f64 x -1/3) (neg.f64 (+.f64 -1 (*.f64 x -3/2)))) (*.f64 wj (*.f64 wj (*.f64 x -3/2)))) x))
(fma.f64 wj (+.f64 x 1) (-.f64 (*.f64 (*.f64 wj wj) (+.f64 (*.f64 x -3/2) (*.f64 wj (+.f64 1 (*.f64 x 7/6))))) x))
(/.f64 -1 wj)
(-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 1 wj))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 -1 wj))
(+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (/.f64 -1 wj))
(-.f64 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (-.f64 (/.f64 -1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (+.f64 (/.f64 -1 wj) (/.f64 -1 (pow.f64 wj 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (/.f64 -1 wj)) (+.f64 (/.f64 -1 (pow.f64 wj 3)) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))))
(/.f64 -1 wj)
(-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 1 wj))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (/.f64 -1 wj))
(+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (/.f64 -1 wj))
(-.f64 (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (-.f64 (/.f64 -1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (+.f64 (/.f64 -1 wj) (/.f64 -1 (pow.f64 wj 3))))
(-.f64 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (pow.f64 wj 2) (exp.f64 wj)))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (-.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 (/.f64 x (*.f64 (*.f64 wj wj) (exp.f64 wj))) (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (/.f64 -1 wj)) (+.f64 (/.f64 -1 (pow.f64 wj 3)) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))))
(/.f64 wj (-.f64 1 (pow.f64 wj 2)))
(/.f64 wj (-.f64 1 (*.f64 wj wj)))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (-.f64 1 (*.f64 wj wj)))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj))))
(/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj))))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (-.f64 1 (*.f64 wj wj)))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(+.f64 (/.f64 wj (-.f64 1 (pow.f64 wj 2))) (*.f64 -1 (/.f64 x (*.f64 (-.f64 1 (pow.f64 wj 2)) (exp.f64 wj)))))
(+.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 (neg.f64 x) (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 (/.f64 wj (-.f64 1 (*.f64 wj wj))) (/.f64 x (*.f64 (exp.f64 wj) (-.f64 1 (*.f64 wj wj)))))

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.7b
(*.f64 (*.f64 x 5/2) wj)
Compiler

Compiled 49 to 28 computations (42.9% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x 5/2) wj)
0.0ms
wj
@inf
(*.f64 (*.f64 x 5/2) wj)
0.0ms
x
@inf
(*.f64 (*.f64 x 5/2) wj)
0.0ms
wj
@0
(*.f64 (*.f64 x 5/2) wj)
0.0ms
x
@-inf
(*.f64 (*.f64 x 5/2) wj)

rewrite43.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
554×pow1-binary64
511×add-exp-log-binary64
511×expm1-log1p-u-binary64
511×log1p-expm1-u-binary64
500×add-log-exp-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213987
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(*.f64 (*.f64 x 5/2) wj)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 5/2 wj))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 5/2 wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5/2 (*.f64 x wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 5/2) wj)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 wj (*.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 5/2 wj)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 5/2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 5/2 wj))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 5/2 wj))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 5/2 wj))) 2) (cbrt.f64 (*.f64 x (*.f64 5/2 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 wj) 2) (*.f64 (cbrt.f64 wj) (*.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 5/2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 5/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 5/2)) wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 5/2 wj))) (sqrt.f64 (*.f64 x (*.f64 5/2 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 wj) (*.f64 (sqrt.f64 wj) (*.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 5/2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 5/2)) (*.f64 (sqrt.f64 (*.f64 x 5/2)) wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5/2 wj) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 5/2) (pow.f64 (cbrt.f64 wj) 2)) (cbrt.f64 wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 5/2) (sqrt.f64 wj)) (sqrt.f64 wj))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 wj x) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 wj (pow.f64 (cbrt.f64 (*.f64 x 5/2)) 2)) (cbrt.f64 (*.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 wj (sqrt.f64 (*.f64 x 5/2))) (sqrt.f64 (*.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 5/2 wj)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 5/2 wj))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 5/2 wj)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 5/2 wj))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 5/2 wj)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 5/2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 5/2 wj)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 5/2 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 5/2 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 5/2 wj))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
110168
216168
317168
Stop Event
saturated
Counts
56 → 34
Calls
Call 1
Inputs
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 5/2 (*.f64 wj x))
Outputs
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))
(*.f64 5/2 (*.f64 wj x))
(*.f64 wj (*.f64 5/2 x))

eval539.0ms (4.2%)

Compiler

Compiled 31318 to 14150 computations (54.8% saved)

prune285.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1030111041
Fresh4610
Picked101
Done415
Total1039181057
Error
0.0b
Counts
1057 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
6.7b
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
0.8b
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
6.6b
(neg.f64 (*.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj)))))
12.7b
(-.f64 wj (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
11.2b
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (-.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))))
12.7b
(-.f64 wj (/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1)) (+.f64 1 wj)))
56.2b
(*.f64 wj wj)
1.0b
(fma.f64 wj (fma.f64 x -2 wj) x)
6.8b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
6.8b
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
32.4b
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) 2) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))))
7.2b
x
11.2b
(+.f64 (-.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))))
0.8b
(+.f64 (*.f64 wj wj) x)
61.4b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
34.1b
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)))
41.3b
(/.f64 (+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)) 3)) (+.f64 (*.f64 wj wj) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)) (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1))) (*.f64 wj (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1))))))
61.6b
wj
Compiler

Compiled 849 to 456 computations (46.3% saved)

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 2/3 x)
0.5b
(+.f64 (*.f64 -4 x) (*.f64 3/2 x))
1.0b
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))
3.5b
(*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))
Compiler

Compiled 202 to 142 computations (29.7% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 2/3 x)
0.0ms
x
@inf
(*.f64 2/3 x)
0.0ms
x
@0
(*.f64 2/3 x)

rewrite41.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
485×associate-*r*
363×associate-*l*
345×pow1-binary64
338×add-sqr-sqrt-binary64
329×*-un-lft-identity-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28764
Stop Event
node limit
Counts
1 → 69
Calls
Call 1
Inputs
(*.f64 2/3 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2/3 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 2/3 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 2/3) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 2/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 2/3 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 2/3 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 x)) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 2/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (*.f64 2/3 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 2/3) (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2/3 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 2/3 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 2/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2/3 x))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2/3 x))) (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 2/3 x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2/3 x))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 2/3 x))) (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 2/3 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 2/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 2/3 x)))) (*.f64 (cbrt.f64 (*.f64 2/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (sqrt.f64 (*.f64 2/3 x)))) (sqrt.f64 (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2/3 x)) (cbrt.f64 (*.f64 2/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 x)) (sqrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2/3 x)) (cbrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2/3 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 x)) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 2/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 (sqrt.f64 (*.f64 2/3 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (sqrt.f64 (cbrt.f64 (*.f64 2/3 x)))) (sqrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 2/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2/3 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (sqrt.f64 x)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 x)))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
69 → 69
Calls
Call 1
Inputs
Outputs

localize4.0ms (0%)

Compiler

Compiled 6 to 3 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 wj (+.f64 wj 1))
5.6b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
851×pow1-binary64
797×expm1-log1p-u-binary64
797×log1p-expm1-u-binary64
796×add-exp-log-binary64
782×add-log-exp-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113917
2207817
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(/.f64 wj (+.f64 wj 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (/.f64 (neg.f64 wj) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 wj (*.f64 (/.f64 (neg.f64 wj) (+.f64 wj 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) wj (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (/.f64 (neg.f64 wj) (+.f64 wj 1)) 1 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1))) 2) (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 wj (+.f64 wj 1)))) (sqrt.f64 (/.f64 wj (+.f64 wj 1))) (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 wj) (+.f64 wj 1)) wj)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 wj (/.f64 wj (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 wj (/.f64 wj (+.f64 wj 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 wj (+.f64 wj 1)))) (/.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 2) (+.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 wj 3) (fma.f64 wj wj (*.f64 (/.f64 wj (+.f64 wj 1)) (+.f64 wj (/.f64 wj (+.f64 wj 1)))))) (/.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 3) (fma.f64 wj wj (*.f64 (/.f64 wj (+.f64 wj 1)) (+.f64 wj (/.f64 wj (+.f64 wj 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 wj (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))) 2))))) (#(struct:change #<rule 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(-.f64 (*.f64 wj wj) (pow.f64 (/.f64 wj (+.f64 wj 1)) 2))) (neg.f64 (+.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 wj 3) (pow.f64 (/.f64 wj (+.f64 wj 1)) 3))) (neg.f64 (fma.f64 wj wj (*.f64 (/.f64 wj (+.f64 wj 1)) (+.f64 wj (/.f64 wj (+.f64 wj 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 wj (/.f64 (neg.f64 wj) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 wj) 2) (cbrt.f64 wj) (/.f64 (neg.f64 wj) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (neg.f64 wj) (+.f64 wj 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 wj (+.f64 wj 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 wj (/.f64 1 (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 wj (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 wj (+.f64 wj 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1))) (pow.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1))) 2) (cbrt.f64 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 wj) 2) (*.f64 (cbrt.f64 wj) (/.f64 1 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 wj (+.f64 wj 1))) (sqrt.f64 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 wj) (*.f64 (sqrt.f64 wj) (/.f64 1 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 wj 1)) wj)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 wj) (/.f64 1 (+.f64 (neg.f64 wj) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 wj 1)) 2)) (/.f64 wj (cbrt.f64 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 wj 1))) (/.f64 wj (sqrt.f64 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 wj (fma.f64 wj wj -1)) (+.f64 wj -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 wj (+.f64 1 (pow.f64 wj 3))) (fma.f64 wj wj (-.f64 1 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 wj) 2) 1) (/.f64 (cbrt.f64 wj) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 wj) 1) (/.f64 (sqrt.f64 wj) (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 wj) 2) (pow.f64 (cbrt.f64 (+.f64 wj 1)) 2)) (cbrt.f64 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 wj) (pow.f64 (cbrt.f64 (+.f64 wj 1)) 2)) (/.f64 (sqrt.f64 wj) (cbrt.f64 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 wj) 2) (sqrt.f64 (+.f64 wj 1))) (/.f64 (cbrt.f64 wj) (sqrt.f64 (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 wj (+.f64 wj 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 wj 1) wj))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 wj 1) wj) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 wj) 2) (/.f64 (+.f64 wj 1) (cbrt.f64 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 wj) (/.f64 (+.f64 wj 1) (sqrt.f64 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 wj) (+.f64 (neg.f64 wj) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 wj 1) (+.f64 wj 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 wj (pow.f64 (cbrt.f64 (+.f64 wj 1)) 2)) (cbrt.f64 (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 wj (sqrt.f64 (+.f64 wj 1))) (sqrt.f64 (+.f64 wj 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 wj 1) wj)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 wj)) (neg.f64 (+.f64 (neg.f64 wj) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 wj (+.f64 wj 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 wj (+.f64 wj 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 wj (+.f64 wj 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 wj 1) wj) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 wj (+.f64 (neg.f64 wj) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 wj (+.f64 wj 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 wj (+.f64 wj 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 wj) (log1p.f64 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 wj (+.f64 wj 1))))))))

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
596×fma-def
541×associate-+l-
462×distribute-lft-out
448×distribute-lft-out--
410×associate-+r-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038267
1114254
2343250
3999247
43651246
Stop Event
node limit
Counts
107 → 111
Calls
Call 1
Inputs
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (pow.f64 wj 3)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 5)) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4))))
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) wj) 1)
(-.f64 (+.f64 (/.f64 1 wj) wj) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
wj
(-.f64 wj 1)
(-.f64 (+.f64 (/.f64 1 wj) wj) 1)
(-.f64 (+.f64 (/.f64 1 wj) wj) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
wj
(+.f64 (*.f64 -1 (pow.f64 wj 2)) wj)
(+.f64 (*.f64 -1 (pow.f64 wj 2)) (+.f64 (pow.f64 wj 3) wj))
(+.f64 (*.f64 -1 (pow.f64 wj 2)) (+.f64 (*.f64 -1 (pow.f64 wj 4)) (+.f64 (pow.f64 wj 3) wj)))
1
(-.f64 1 (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
1
(-.f64 1 (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (/.f64 1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
Outputs
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (pow.f64 wj 3)))
(+.f64 (*.f64 wj wj) (neg.f64 (pow.f64 wj 3)))
(-.f64 (*.f64 wj wj) (pow.f64 wj 3))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4)))
(+.f64 (*.f64 wj wj) (fma.f64 -1 (pow.f64 wj 3) (pow.f64 wj 4)))
(fma.f64 wj wj (-.f64 (pow.f64 wj 4) (pow.f64 wj 3)))
(-.f64 (fma.f64 wj wj (pow.f64 wj 4)) (pow.f64 wj 3))
(*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 5)) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4))))
(+.f64 (*.f64 wj wj) (fma.f64 -1 (pow.f64 wj 5) (fma.f64 -1 (pow.f64 wj 3) (pow.f64 wj 4))))
(fma.f64 wj wj (-.f64 (-.f64 (pow.f64 wj 4) (pow.f64 wj 3)) (pow.f64 wj 5)))
(-.f64 (-.f64 (fma.f64 wj wj (pow.f64 wj 4)) (pow.f64 wj 3)) (pow.f64 wj 5))
(-.f64 (*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj)) (pow.f64 wj 5))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) wj) 1)
(+.f64 (/.f64 1 wj) (+.f64 wj -1))
(+.f64 wj (+.f64 (/.f64 1 wj) -1))
(+.f64 wj (+.f64 -1 (/.f64 1 wj)))
(-.f64 (+.f64 (/.f64 1 wj) wj) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 wj (/.f64 1 wj)) (+.f64 1 (/.f64 1 (*.f64 wj wj))))
(+.f64 wj (-.f64 (/.f64 1 wj) (+.f64 1 (/.f64 1 (*.f64 wj wj)))))
(+.f64 wj (+.f64 (/.f64 1 wj) (+.f64 -1 (/.f64 -1 (*.f64 wj wj)))))
(+.f64 wj (-.f64 -1 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj))))
wj
(-.f64 wj 1)
(+.f64 wj -1)
(-.f64 (+.f64 (/.f64 1 wj) wj) 1)
(+.f64 (/.f64 1 wj) (+.f64 wj -1))
(+.f64 wj (+.f64 (/.f64 1 wj) -1))
(+.f64 wj (+.f64 -1 (/.f64 1 wj)))
(-.f64 (+.f64 (/.f64 1 wj) wj) (+.f64 1 (/.f64 1 (pow.f64 wj 2))))
(-.f64 (+.f64 wj (/.f64 1 wj)) (+.f64 1 (/.f64 1 (*.f64 wj wj))))
(+.f64 wj (-.f64 (/.f64 1 wj) (+.f64 1 (/.f64 1 (*.f64 wj wj)))))
(+.f64 wj (+.f64 (/.f64 1 wj) (+.f64 -1 (/.f64 -1 (*.f64 wj wj)))))
(+.f64 wj (-.f64 -1 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj))))
wj
(+.f64 (*.f64 -1 (pow.f64 wj 2)) wj)
(fma.f64 -1 (*.f64 wj wj) wj)
(-.f64 wj (*.f64 wj wj))
(fma.f64 wj (neg.f64 wj) wj)
(+.f64 (*.f64 -1 (pow.f64 wj 2)) (+.f64 (pow.f64 wj 3) wj))
(fma.f64 -1 (*.f64 wj wj) (+.f64 wj (pow.f64 wj 3)))
(+.f64 wj (*.f64 (*.f64 wj wj) (+.f64 wj -1)))
(fma.f64 (*.f64 wj wj) (+.f64 wj -1) wj)
(*.f64 wj (-.f64 (fma.f64 wj wj 1) wj))
(fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj)
(+.f64 (*.f64 -1 (pow.f64 wj 2)) (+.f64 (*.f64 -1 (pow.f64 wj 4)) (+.f64 (pow.f64 wj 3) wj)))
(fma.f64 -1 (*.f64 wj wj) (fma.f64 -1 (pow.f64 wj 4) (+.f64 wj (pow.f64 wj 3))))
(-.f64 (-.f64 (+.f64 wj (pow.f64 wj 3)) (pow.f64 wj 4)) (*.f64 wj wj))
(-.f64 (+.f64 wj (pow.f64 wj 3)) (fma.f64 wj wj (pow.f64 wj 4)))
(*.f64 (fma.f64 wj wj 1) (-.f64 wj (*.f64 wj wj)))
(*.f64 (-.f64 1 wj) (+.f64 wj (pow.f64 wj 3)))
1
(-.f64 1 (/.f64 1 wj))
(+.f64 1 (/.f64 -1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (/.f64 1 wj))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 -1 wj)))
(+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 1 (/.f64 -1 wj)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 wj wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 -1 wj))) (/.f64 1 (pow.f64 wj 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 (/.f64 -1 wj) (/.f64 -1 (pow.f64 wj 3)))))
(-.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 (+.f64 -1 (/.f64 1 wj)) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj)) (-.f64 1 (/.f64 1 (pow.f64 wj 3))))
1
(-.f64 1 (/.f64 1 wj))
(+.f64 1 (/.f64 -1 wj))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (/.f64 1 wj))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 -1 wj)))
(+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 1 (/.f64 -1 wj)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 wj 2))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 wj wj))) (+.f64 (/.f64 1 wj) (/.f64 1 (pow.f64 wj 3))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 -1 wj))) (/.f64 1 (pow.f64 wj 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 (/.f64 -1 wj) (/.f64 -1 (pow.f64 wj 3)))))
(-.f64 (/.f64 1 (*.f64 wj wj)) (+.f64 (+.f64 -1 (/.f64 1 wj)) (/.f64 1 (pow.f64 wj 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 wj wj)) (/.f64 1 wj)) (-.f64 1 (/.f64 1 (pow.f64 wj 3))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
0.0b
(/.f64 x (exp.f64 wj))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
875×associate-/l*
459×*-commutative
345×associate-/r/
333×unswap-sqr
289×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
117311
2248511
Stop Event
node limit
Counts
1 → 180
Calls
Call 1
Inputs
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
Outputs
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(log1p.f64 wj)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 wj)) 3) (pow.f64 (+.f64 wj 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (+.f64 wj (log1p.f64 wj))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (exp.f64 (+.f64 wj (log1p.f64 wj))))))))))

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
510×distribute-lft-out--
370×associate-/r/
333×*-commutative
324×distribute-lft-in
293×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057471
1162451
2546437
31965395
47121395
Stop Event
node limit
Counts
204 → 196
Calls
Call 1
Inputs
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (*.f64 -2 (*.f64 wj x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 2) (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))))) (pow.f64 wj 3))) (+.f64 (*.f64 -2 (*.f64 wj x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 2) (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))) x)))
(/.f64 x (*.f64 wj (exp.f64 wj)))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))))
(+.f64 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
(/.f64 x (*.f64 wj (exp.f64 wj)))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))))
(+.f64 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
Outputs
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(fma.f64 wj (*.f64 x -2) x)
(*.f64 x (fma.f64 wj -2 1))
(+.f64 (*.f64 -2 (*.f64 wj x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 2) (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))) x))
(fma.f64 -2 (*.f64 x wj) (fma.f64 -1 (*.f64 (*.f64 wj wj) (*.f64 x -5/2)) x))
(fma.f64 -2 (*.f64 x wj) (-.f64 x (*.f64 x (*.f64 -5/2 (*.f64 wj wj)))))
(fma.f64 (*.f64 wj wj) (*.f64 x 5/2) (fma.f64 wj (*.f64 x -2) x))
(+.f64 x (*.f64 x (*.f64 wj (-.f64 -2 (*.f64 wj -5/2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -3 x) (+.f64 (*.f64 2/3 x) (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))))) (pow.f64 wj 3))) (+.f64 (*.f64 -2 (*.f64 wj x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 wj 2) (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))) x)))
(fma.f64 -1 (*.f64 (fma.f64 -3 x (fma.f64 2/3 x (*.f64 -2 (*.f64 x -5/2)))) (pow.f64 wj 3)) (fma.f64 -2 (*.f64 x wj) (fma.f64 -1 (*.f64 (*.f64 wj wj) (*.f64 x -5/2)) x)))
(-.f64 (fma.f64 -2 (*.f64 x wj) (-.f64 x (*.f64 x (*.f64 -5/2 (*.f64 wj wj))))) (*.f64 (+.f64 (*.f64 x 5) (*.f64 x -7/3)) (pow.f64 wj 3)))
(-.f64 (fma.f64 (*.f64 wj wj) (*.f64 x 5/2) (fma.f64 wj (*.f64 x -2) x)) (*.f64 (*.f64 x 8/3) (pow.f64 wj 3)))
(+.f64 x (fma.f64 x (*.f64 wj (-.f64 -2 (*.f64 wj -5/2))) (*.f64 (pow.f64 wj 3) (*.f64 x -8/3))))
(/.f64 x (*.f64 wj (exp.f64 wj)))
(/.f64 (/.f64 x wj) (exp.f64 wj))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))))
(+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (neg.f64 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj)))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj)))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x wj) (*.f64 wj (exp.f64 wj))))
(*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj)))
(+.f64 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))))))
(+.f64 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (neg.f64 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj))))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(+.f64 (-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (-.f64 (/.f64 (/.f64 x wj) (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x (exp.f64 wj)) (pow.f64 wj 3))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
(+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj))) (fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
(+.f64 (-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))))
(+.f64 (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 (/.f64 -1 (pow.f64 wj 4)) (/.f64 -1 (*.f64 wj wj)))) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x (exp.f64 wj)) (pow.f64 wj 3))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj))) (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3)))))
(/.f64 x (*.f64 wj (exp.f64 wj)))
(/.f64 (/.f64 x wj) (exp.f64 wj))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))))
(+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (neg.f64 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj)))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj)))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x wj) (*.f64 wj (exp.f64 wj))))
(*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj)))
(+.f64 (/.f64 x (*.f64 (pow.f64 wj 3) (exp.f64 wj))) (+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2))))))
(+.f64 (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (neg.f64 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj))))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(+.f64 (-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (-.f64 (/.f64 (/.f64 x wj) (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x (exp.f64 wj)) (pow.f64 wj 3))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))
(+.f64 (/.f64 x (*.f64 (exp.f64 wj) wj)) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 2)))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
(+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (*.f64 wj wj))) (fma.f64 -1 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))))))
(+.f64 (-.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 x (*.f64 wj (*.f64 wj (exp.f64 wj))))) (-.f64 (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3))) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 4)))))
(+.f64 (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 (/.f64 -1 (pow.f64 wj 4)) (/.f64 -1 (*.f64 wj wj)))) (+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (/.f64 (/.f64 x (exp.f64 wj)) (pow.f64 wj 3))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 (/.f64 x wj) (exp.f64 wj))) (*.f64 (+.f64 (/.f64 -1 wj) 1) (/.f64 x (*.f64 (exp.f64 wj) (pow.f64 wj 3)))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(fma.f64 wj (fma.f64 x -2 wj) x)
Compiler

Compiled 16 to 8 computations (50% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 wj (fma.f64 x -2 wj) x)
1.0ms
wj
@0
(fma.f64 wj (fma.f64 x -2 wj) x)
0.0ms
x
@0
(fma.f64 wj (fma.f64 x -2 wj) x)
0.0ms
x
@inf
(fma.f64 wj (fma.f64 x -2 wj) x)
0.0ms
wj
@-inf
(fma.f64 wj (fma.f64 x -2 wj) x)

rewrite57.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
569×pow1-binary64
525×add-exp-log-binary64
525×expm1-log1p-u-binary64
525×log1p-expm1-u-binary64
514×add-log-exp-binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11219
213889
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 wj (fma.f64 x -2 wj) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 wj (fma.f64 x -2 wj)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 wj (fma.f64 x -2 wj)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 wj (fma.f64 x -2 wj)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 wj (fma.f64 x -2 wj) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 wj (fma.f64 x -2 wj) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 wj (fma.f64 x -2 wj) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) (pow.f64 (cbrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) 2) (cbrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) (sqrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 wj (fma.f64 x -2 wj)) (*.f64 wj (fma.f64 x -2 wj))) (*.f64 x x)) (-.f64 (*.f64 wj (fma.f64 x -2 wj)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 wj (fma.f64 x -2 wj)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 wj (fma.f64 x -2 wj)) (*.f64 wj (fma.f64 x -2 wj))) (-.f64 (*.f64 x x) (*.f64 (*.f64 wj (fma.f64 x -2 wj)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 wj (fma.f64 x -2 wj) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 wj (fma.f64 x -2 wj) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 wj (fma.f64 x -2 wj) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 wj (fma.f64 x -2 wj) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 wj (fma.f64 x -2 wj) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 wj (fma.f64 x -2 wj) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 wj (fma.f64 x -2 wj) x)))))

simplify68.0ms (0.5%)

Algorithm
egg-herbie
Rules
645×distribute-lft-neg-in
544×fma-def
498×associate-+r+
400×distribute-rgt-neg-in
400×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022273
151239
2113237
3239188
4589188
51802188
63798188
77099188
Stop Event
node limit
Counts
46 → 34
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(pow.f64 wj 2)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
Outputs
x
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (*.f64 (*.f64 -2 wj) x) (*.f64 wj wj))
(fma.f64 -2 (*.f64 x wj) (*.f64 wj wj))
(*.f64 wj (+.f64 (*.f64 x -2) wj))
(*.f64 wj (fma.f64 x -2 wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 -2 (*.f64 wj x)))
(+.f64 (*.f64 (*.f64 -2 wj) x) (*.f64 wj wj))
(fma.f64 -2 (*.f64 x wj) (*.f64 wj wj))
(*.f64 wj (+.f64 (*.f64 x -2) wj))
(*.f64 wj (fma.f64 x -2 wj))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(pow.f64 wj 2)
(*.f64 wj wj)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 (+.f64 (*.f64 -2 wj) 1) x))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x))
(fma.f64 -2 (*.f64 x wj) x)
(*.f64 x (fma.f64 -2 wj 1))
(fma.f64 x (*.f64 -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)
(+.f64 (pow.f64 wj 2) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 wj) 1) x)))
(+.f64 (fma.f64 -2 (*.f64 x wj) x) (*.f64 wj wj))
(fma.f64 x (fma.f64 -2 wj 1) (*.f64 wj wj))
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj wj x))
(fma.f64 wj (fma.f64 x -2 wj) x)

eval290.0ms (2.3%)

Compiler

Compiled 14608 to 8907 computations (39% saved)

prune92.0ms (0.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New61111622
Fresh10212
Picked011
Done145
Total62218640
Error
0b
Counts
640 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
61.4b
(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) wj (/.f64 wj (+.f64 wj 1))))
0.8b
(+.f64 (*.f64 wj wj) x)
0.8b
(+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3))) (*.f64 wj wj)) wj)) (+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
6.8b
(/.f64 (*.f64 x (-.f64 1 wj)) (+.f64 wj 1))
1.0b
(fma.f64 wj (fma.f64 x -2 wj) x)
6.8b
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
61.4b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
6.8b
(/.f64 (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x))) (+.f64 wj 1))
6.8b
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
55.9b
(-.f64 (*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj)) (pow.f64 wj 5))
6.6b
(*.f64 (*.f64 (exp.f64 (neg.f64 wj)) (/.f64 -1 (-.f64 -1 wj))) x)
55.9b
(*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj))
7.2b
x
6.7b
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
56.2b
(*.f64 wj wj)
55.9b
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 5)) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4))))
55.9b
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4)))
61.6b
wj
Compiler

Compiled 223 to 151 computations (32.3% saved)

regimes106.0ms (0.8%)

Counts
52 → 1
Calls
Call 1
Inputs
x
wj
x
x
wj
(*.f64 wj wj)
(+.f64 (*.f64 wj wj) x)
(*.f64 -2 (*.f64 wj x))
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(*.f64 (+.f64 (*.f64 -2 wj) 1) x)
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
(+.f64 (*.f64 -2 (*.f64 wj x)) x)
(/.f64 (*.f64 x (-.f64 1 wj)) (+.f64 wj 1))
(-.f64 wj (/.f64 (*.f64 (-.f64 wj 1) x) (+.f64 1 wj)))
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 x wj))) (+.f64 wj 1)))
(-.f64 wj (/.f64 (-.f64 wj (*.f64 x (-.f64 1 wj))) (+.f64 wj 1)))
(/.f64 (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x))) (+.f64 wj 1))
(-.f64 wj (/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1/2 wj)) wj) 1)) (+.f64 1 wj)))
(-.f64 wj (/.f64 (-.f64 wj (-.f64 x (*.f64 wj (+.f64 (*.f64 x (*.f64 -1/2 wj)) x)))) (+.f64 wj 1)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 x 5) (*.f64 x -7/3))) (*.f64 wj wj)) wj)) (+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
(/.f64 x (*.f64 (+.f64 1 wj) (exp.f64 wj)))
(*.f64 (*.f64 (exp.f64 (neg.f64 wj)) (/.f64 -1 (-.f64 -1 wj))) x)
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) (exp.f64 wj)) (/.f64 (-.f64 1 wj) (-.f64 1 (*.f64 wj wj)))))
(-.f64 wj (*.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 1 (*.f64 wj wj))) (-.f64 1 wj)))
(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) wj (/.f64 wj (+.f64 wj 1))))
(+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (-.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))))
(fma.f64 wj (fma.f64 x -2 wj) x)
(*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj))
(pow.f64 (pow.f64 (-.f64 wj (/.f64 wj (+.f64 wj 1))) 3) 1/3)
(fma.f64 x (*.f64 -2 wj) (fma.f64 wj (+.f64 wj (*.f64 (*.f64 x 5/2) wj)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 -2 (+.f64 (*.f64 -4 x) (*.f64 3/2 x)))))) (pow.f64 wj 3))) (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -4 x) (*.f64 3/2 x))) (pow.f64 wj 2)) (+.f64 (*.f64 -2 (*.f64 wj x)) x)))
(/.f64 (+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)) 3)) (+.f64 (*.f64 wj wj) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)) (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1))) (*.f64 wj (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1))))))
(+.f64 (-.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 wj 1))) (+.f64 (*.f64 wj x) (-.f64 wj x)) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4)))
(-.f64 (*.f64 wj (fma.f64 wj (fma.f64 wj wj (neg.f64 wj)) wj)) (pow.f64 wj 5))
(fma.f64 wj (*.f64 wj (fma.f64 x 5/2 1)) (*.f64 x (fma.f64 -2 wj 1)))
(pow.f64 (cbrt.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) 3)
(pow.f64 (pow.f64 (-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 3) 1/3)
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (-.f64 (neg.f64 (*.f64 wj x)) (-.f64 wj x)) (+.f64 wj 1)))
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))
(fma.f64 (sqrt.f64 wj) (sqrt.f64 wj) (/.f64 (neg.f64 (-.f64 wj (/.f64 x (exp.f64 wj)))) (+.f64 wj 1)))
(+.f64 (pow.f64 wj 2) (+.f64 (*.f64 -1 (pow.f64 wj 5)) (+.f64 (*.f64 -1 (pow.f64 wj 3)) (pow.f64 wj 4))))
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1))) 2) (/.f64 (+.f64 (*.f64 wj x) (-.f64 wj x)) (+.f64 wj 1)))))
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 2) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)) 2) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))) 2) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))))
Outputs
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
Calls

3 calls:

36.0ms
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
25.0ms
wj
25.0ms
x
Results
ErrorSegmentsBranch
0.5b1wj
0.5b1x
0.5b1(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 1024 to 499 computations (51.3% saved)

regimes22.0ms (0.2%)

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

2 calls:

8.0ms
wj
8.0ms
x
Results
ErrorSegmentsBranch
0.8b1wj
0.8b1x
Compiler

Compiled 81 to 45 computations (44.4% saved)

regimes20.0ms (0.2%)

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

2 calls:

14.0ms
x
4.0ms
wj
Results
ErrorSegmentsBranch
7.2b1wj
5.7b3x
Compiler

Compiled 16 to 7 computations (56.3% saved)

bsearch68.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
4.31786648051528e-297
3.9260027649216824e-288
32.0ms
-9.933666301901531e-256
-1.0196797241316217e-262
Compiler

Compiled 23 to 12 computations (47.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -54.6b remaining (-762.8%)

Threshold costs -54.6b (-762.8%)

Counts
5 → 1
Calls
Call 1
Inputs
x
wj
x
x
wj
Outputs
x
Calls

2 calls:

4.0ms
x
4.0ms
wj
Results
ErrorSegmentsBranch
7.2b1wj
7.2b1x
Compiler

Compiled 13 to 6 computations (53.8% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
12342
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 wj wj) x)
(if (<=.f64 x -8396642530273963/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) x (if (<=.f64 x 1589698340715403/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (*.f64 wj wj) x))
x
Outputs
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 -2 (*.f64 wj x)) x))
(+.f64 (*.f64 wj wj) (+.f64 x (*.f64 -2 (*.f64 wj x))))
(+.f64 (*.f64 wj wj) x)
(if (<=.f64 x -8396642530273963/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) x (if (<=.f64 x 1589698340715403/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (*.f64 wj wj) x))
x
Compiler

Compiled 38 to 23 computations (39.5% saved)

soundness94.0ms (0.7%)

Algorithm
egg-herbie
Rules
870×associate-+l-
600×fma-def
423×*-commutative
414×distribute-lft-in
410×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040588
199570
2306540
3971480
42664480
53057480
63486480
74562480
86519480
Stop Event
node limit
Compiler

Compiled 10 to 7 computations (30% saved)

end29.0ms (0.2%)

Compiler

Compiled 32 to 15 computations (53.1% saved)

Profiling

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