Details

Time bar (total: 3.7s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%0%50%2
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.8s (48.5%)

Results
892.0ms2325×body1024valid
475.0ms4350×body128valid
293.0ms1078×body512valid
99.0ms503×body256valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess19.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817417
921017
1023617
1123817
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817417
921017
1023617
1123817
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
17.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶17.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 47 to 38 computations (19.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓0.1b
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓0.3b
(/.f64 1 (sqrt.f64 x))
✓3.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series13.0ms (0.4%)

Counts
4 → 8
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
3.0ms
x
@-inf
(/.f64 1 (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite63.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
776×prod-diff_binary64
170×log1p-udef_binary64
169×expm1-udef_binary64
106×add-sqr-sqrt_binary64
102×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
120730
2296530
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))))

simplify24.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
914×fma-neg_binary64
744×cancel-sign-sub-inv_binary64
439×fma-def_binary64
222×distribute-rgt-neg-in_binary64
202×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02794
18086
222076
375764
4243164
Stop Event
1×node limit
Counts
181 → 186
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) (*.f64 1/8 (pow.f64 x 2)))
Outputs
1
(-.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (*.f64 1/2 x))
(+.f64 1 (-.f64 (*.f64 3/8 (*.f64 x x)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x -1/2)))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1))
(fma.f64 x (fma.f64 x 3/8 -1/2) 1)
(-.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x 2))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 3/8 (*.f64 x x)) (fma.f64 1/2 x (*.f64 5/16 (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (*.f64 x x) 1) (fma.f64 1/2 x (*.f64 5/16 (pow.f64 x 3))))
(+.f64 1 (fma.f64 x (*.f64 x 3/8) (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -5/16))))
(fma.f64 (pow.f64 x 3) -5/16 (fma.f64 x (fma.f64 x 3/8 -1/2) 1))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(-.f64 (+.f64 1 (*.f64 1/2 x)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (+.f64 1 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 x x)))
(-.f64 (fma.f64 1/2 x 1) (*.f64 x (*.f64 x 1/8)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x 1))
(fma.f64 x (-.f64 1/2 (*.f64 x 1/8)) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3)))) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16)) (*.f64 (*.f64 x x) 1/8)))
(+.f64 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16)) (-.f64 1 (*.f64 x (*.f64 x 1/8))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 3) 1/16 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x (fma.f64 x 1/16 -1/8)) 1))

prune239.0ms (6.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New17214186
Fresh000
Picked101
Done000
Total17314187
Error
17.0b
Counts
187 → 14
Alt Table
StatusErrorProgram
27.3b
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
27.5b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
28.0b
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
28.1b
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
▶17.8b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
27.5b
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
27.4b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))))))
27.9b
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
27.7b
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
27.8b
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
27.4b
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
27.5b
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
28.2b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
28.1b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
Compiler

Compiled 4847 to 3889 computations (19.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.3b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓2.9b
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

series12.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@-inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@0
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
1.0ms
x
@inf
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

rewrite68.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
243×log1p-udef_binary64
155×add-sqr-sqrt_binary64
150×pow1_binary64
148×*-un-lft-identity_binary64
147×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
129646
2461346
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 1 (+.f64 1 x))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/4) (*.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 x) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 x (*.f64 x x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 x (*.f64 x x)) -1/2)) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))) (neg.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 x (*.f64 x x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 1 x) (pow.f64 (+.f64 x (*.f64 x x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))) (neg.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 x (*.f64 x x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))))))

simplify42.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
414×fma-def_binary64
335×associate-+l+_binary64
306×associate--l+_binary64
268×associate-/r*_binary64
179×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561504
14891439
214971274
Stop Event
1×node limit
Counts
208 → 233
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (*.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (*.f64 19/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 5/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x -1/2)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 3/8 (pow.f64 x 2)))) (*.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 3/8 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (*.f64 x x)))
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (*.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (fma.f64 1/4 (/.f64 x (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 x (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (*.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))))) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 x -1/2))))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (*.f64 19/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 5/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x -1/2)))))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/4 (/.f64 x (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (*.f64 19/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 5/8 (/.f64 (*.f64 x x) (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x -1/2))))))))
(-.f64 (+.f64 (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (+.f64 (fma.f64 19/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (fma.f64 5/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x -1/2))))))
(-.f64 (+.f64 (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x))))) (+.f64 (fma.f64 19/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 -1 (+.f64 1 (pow.f64 x -1/2)))))) (fma.f64 7/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (+.f64 (/.f64 5/8 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) 1) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) x))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (/.f64 (/.f64 -3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 5/16 (*.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (/.f64 (/.f64 -3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(+.f64 (/.f64 5/16 (*.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (fma.f64 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8 (/.f64 (*.f64 -35/128 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x))))) (pow.f64 x 5)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3)))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (pow.f64 x -1/2) 1)
(+.f64 1 (pow.f64 x -1/2))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/2 x))
(+.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 -1/2 x))
(+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 x -1/2)))
(fma.f64 x -1/2 (+.f64 1 (pow.f64 x -1/2)))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 3/8 (pow.f64 x 2)))) (*.f64 1/2 x))
(+.f64 1 (-.f64 (+.f64 (pow.f64 x -1/2) (*.f64 (*.f64 x x) 3/8)) (*.f64 x 1/2)))
(+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 3/8 (pow.f64 x -1/2)) (*.f64 x -1/2)))
(fma.f64 x -1/2 (+.f64 1 (fma.f64 x (*.f64 x 3/8) (pow.f64 x -1/2))))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 3/8 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (*.f64 (*.f64 x x) 3/8))) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 5/16)))
(+.f64 1 (-.f64 (fma.f64 (*.f64 x x) 3/8 (pow.f64 x -1/2)) (fma.f64 (pow.f64 x 3) 5/16 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (fma.f64 x (*.f64 x 3/8) (pow.f64 x -1/2)) (fma.f64 x -1/2 (*.f64 (pow.f64 x 3) -5/16))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))
(-.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (/.f64 -1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))
(-.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2)))
(-.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (neg.f64 (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (pow.f64 x 3)) -5/16))

prune225.0ms (6.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2294233
Fresh12113
Picked101
Done000
Total2425247
Error
3.0b
Counts
247 → 5
Alt Table
StatusErrorProgram
42.1b
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
3.8b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
28.1b
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
▶3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
17.6b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Compiler

Compiled 6297 to 5014 computations (20.4% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.1b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
✓3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

series7.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
0.0ms
x
@0
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))

rewrite61.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
934×prod-diff_binary64
145×add-sqr-sqrt_binary64
141×pow1_binary64
139×*-un-lft-identity_binary64
138×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
133035
2421835
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 2) 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simplify30.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
511×associate-+l+_binary64
436×fma-def_binary64
323×associate-/r*_binary64
303×associate--l+_binary64
224×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361146
1424964
21345865
Stop Event
1×node limit
Counts
101 → 115
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x -1/2))) 1/8)))) (*.f64 (/.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (*.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/4 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (-.f64 (+.f64 (/.f64 (*.f64 x 1/8) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (fma.f64 1/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (-.f64 (+.f64 (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x -1/2))) 1/8))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (pow.f64 x 3/2) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (+.f64 (fma.f64 1/8 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) x)) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))) (fma.f64 1/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x))
(/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (/.f64 (/.f64 -3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (/.f64 5/16 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (-.f64 (/.f64 5/16 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (/.f64 (/.f64 -3/8 (pow.f64 x 3)) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(+.f64 (/.f64 5/16 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(+.f64 (/.f64 5/16 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4))) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 5/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (*.f64 x x)) (fma.f64 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8 (/.f64 -35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 (/.f64 1 x) (+.f64 x -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 x 1)) (*.f64 x x))
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1)))
(-.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x 1))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))

prune177.0ms (4.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1703173
Fresh224
Picked011
Done000
Total1726178
Error
0b
Counts
178 → 6
Alt Table
StatusErrorProgram
0.5b
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
✓3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
42.1b
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
17.6b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2)))
▶0.1b
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
Compiler

Compiled 5254 to 4048 computations (23% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.5%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
5.0ms
x
@-inf
(/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
4.0ms
x
@0
(/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@inf
(/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(/.f64 (pow.f64 x -1/2) (+.f64 1 x))

rewrite70.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
782×prod-diff_binary64
132×add-sqr-sqrt_binary64
128×pow1_binary64
126×*-un-lft-identity_binary64
125×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
125954
2387254
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (pow.f64 x -1/2) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
(/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))) (cbrt.f64 (/.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))) (sqrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -1/2)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (*.f64 (pow.f64 x -1/4) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -1)) 1) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x -1/4) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 x -1/2)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 x -1/2)) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (pow.f64 x -1) (+.f64 x 1)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 x 1) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (+.f64 x 1) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (+.f64 x 1) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (*.f64 (+.f64 x 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 x 1) (pow.f64 x -1/2)) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) (/.f64 (+.f64 x 1) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 x 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (pow.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (/.f64 (pow.f64 x -1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify23.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
495×associate-+l+_binary64
386×associate-+r+_binary64
376×fma-def_binary64
270×associate--l+_binary64
211×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
097683
1313503
21023466
Stop Event
1×node limit
Counts
132 → 139
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
Outputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x))))
(-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 (*.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (-.f64 (+.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x -1/2))) 1/8)) (/.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (*.f64 1/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (*.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (fma.f64 1/4 (/.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 x) (/.f64 (*.f64 1/8 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 3/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/4 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (pow.f64 x 3))) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (+.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (-.f64 (+.f64 (*.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (*.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4) x)) (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (+.f64 (fma.f64 1/16 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) x)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))))))
(-.f64 (+.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (+.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1/4 (+.f64 1 (pow.f64 x -1/2))) 1/8)) (/.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 (pow.f64 x 3/2) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4))) (fma.f64 1/8 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) x)) (+.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/16 (/.f64 (*.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(-.f64 (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))

prune237.0ms (6.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1952197
Fresh224
Picked011
Done011
Total1976203
Error
0b
Counts
203 → 6
Alt Table
StatusErrorProgram
42.1b
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
0.3b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
✓3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.4b
(/.f64 (pow.f64 x -1) (*.f64 (+.f64 x 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
3.4b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2)))
✓0.1b
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
Compiler

Compiled 5771 to 4555 computations (21.1% saved)

regimes362.0ms (9.9%)

Accuracy

Total 0.1b remaining (90.2%)

Threshold costs 0.1b (90.2%)

Counts
256 → 1
Compiler

Compiled 4801 to 3743 computations (22% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
11631
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
Outputs
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (pow.f64 x -1/2) (+.f64 x 1)))

end133.0ms (3.6%)

Stop Event
1×fuel
Compiler

Compiled 177 to 138 computations (22% saved)

Profiling

Loading profile data...