Details

Time bar (total: 1.3s)

analyze5.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample712.0ms (55.3%)

Results
688.0ms8256×body128valid

preprocess36.0ms (2.8%)

Algorithm
egg-herbie
Rules
468×fma-def_binary64
327×fma-neg_binary64
233×div-sub_binary64
156×times-frac_binary64
137×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11110
21510
32110
42910
53910
65210
76910
88810
912010
1015310
1119510
1228710
1341710
1466910
15129210
16194910
17246910
18264410
19278010
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify28.0ms (2.2%)

Algorithm
egg-herbie
Rules
468×fma-def_binary64
327×fma-neg_binary64
233×div-sub_binary64
156×times-frac_binary64
137×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11110
21510
32110
42910
53910
65210
76910
88810
912010
1015310
1119510
1228710
1341710
1466910
15129210
16194910
17246910
18264410
19278010
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite37.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
787×pow1_binary64
737×log1p-expm1-u_binary64
737×expm1-log1p-u_binary64
71×add-sqr-sqrt_binary64
69×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113710
2196310
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x 1)) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))

simplify24.0ms (1.8%)

Algorithm
egg-herbie
Rules
848×fma-neg_binary64
571×fma-def_binary64
537×cancel-sign-sub-inv_binary64
471×times-frac_binary64
153×distribute-neg-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029147
191135
2268129
3858126
42664122
Stop Event
node limit
Counts
47 → 49
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
(fma.f64 2 (fma.f64 x (fma.f64 x x x) x) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x)) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 x) x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x)) 1))

prune38.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48149
Fresh000
Picked011
Done000
Total48250
Error
0b
Counts
50 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
0.1b
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
Compiler

Compiled 631 to 493 computations (21.9% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.8%)

Counts
3 → 36
Calls

9 calls:

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

rewrite53.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
922×log1p-expm1-u_binary64
922×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
94×pow1_binary64
93×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
122137
2259837
Stop Event
node limit
Counts
3 → 87
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (+.f64 x 1))) (cbrt.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 x 1))) (neg.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))))

simplify35.0ms (2.7%)

Algorithm
egg-herbie
Rules
649×fma-def_binary64
419×associate-/r*_binary64
366×associate-*l*_binary64
306×associate-*r*_binary64
281×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351150
14201053
21511988
Stop Event
node limit
Counts
123 → 130
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2))))
(+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 22/81 (pow.f64 x 3)))))
(cbrt.f64 -1)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(cbrt.f64 -1)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 4/3 x))
(+.f64 1 (+.f64 (*.f64 8/9 (pow.f64 x 2)) (*.f64 4/3 x)))
(+.f64 1 (+.f64 (*.f64 8/9 (pow.f64 x 2)) (+.f64 (*.f64 4/3 x) (*.f64 68/81 (pow.f64 x 3)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 2/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 x 1) (*.f64 2/9 (*.f64 x x)))
(fma.f64 2/3 x (fma.f64 2/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x 2/9) 1))
(+.f64 (*.f64 2/3 x) (+.f64 1 (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 22/81 (pow.f64 x 3)))))
(+.f64 (fma.f64 2/3 x 1) (fma.f64 2/9 (*.f64 x x) (*.f64 22/81 (pow.f64 x 3))))
(+.f64 (fma.f64 2/3 x (fma.f64 2/9 (*.f64 x x) 1)) (*.f64 22/81 (pow.f64 x 3)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x 2/9) (fma.f64 22/81 (pow.f64 x 3) 1)))
(cbrt.f64 -1)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -4/3 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
(+.f64 (*.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 -8/27 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 x 3)))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
(cbrt.f64 -1)
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 -1))
(fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(fma.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
(+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 x)) (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -4/3 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
(+.f64 (*.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 -8/27 (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 x 3)))) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) x) (cbrt.f64 -1)))
1
(+.f64 1 (*.f64 4/3 x))
(+.f64 1 (*.f64 x 4/3))
(fma.f64 x 4/3 1)
(+.f64 1 (+.f64 (*.f64 8/9 (pow.f64 x 2)) (*.f64 4/3 x)))
(+.f64 1 (fma.f64 8/9 (*.f64 x x) (*.f64 x 4/3)))
(+.f64 1 (fma.f64 x 4/3 (*.f64 x (*.f64 x 8/9))))
(fma.f64 x 4/3 (fma.f64 x (*.f64 x 8/9) 1))
(+.f64 1 (+.f64 (*.f64 8/9 (pow.f64 x 2)) (+.f64 (*.f64 4/3 x) (*.f64 68/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 8/9 (*.f64 x x) (fma.f64 4/3 x (*.f64 (pow.f64 x 3) 68/81))))
(+.f64 1 (fma.f64 (*.f64 x x) 8/9 (fma.f64 x 4/3 (*.f64 (pow.f64 x 3) 68/81))))
(+.f64 1 (fma.f64 x 4/3 (*.f64 (*.f64 x x) (+.f64 8/9 (*.f64 x 68/81)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 1 (*.f64 x x))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (cbrt.f64 -1))))))
(+.f64 (fma.f64 -2/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (cbrt.f64 -1)))) (*.f64 4/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 x x)))) (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (fma.f64 (/.f64 (/.f64 -2/3 x) x) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 -1)) (fma.f64 4/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) 2)) (*.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))))
(fma.f64 2/3 (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (*.f64 (pow.f64 x 3) (cbrt.f64 -1))) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (pow.f64 x 3))) (+.f64 (fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 1 (*.f64 x x))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (cbrt.f64 -1))))))))
(fma.f64 2/3 (/.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -4/3 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (*.f64 (pow.f64 x 3) (cbrt.f64 -1))) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (pow.f64 x 3))) (+.f64 (fma.f64 -2/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (cbrt.f64 -1)))) (*.f64 4/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 x x)))) (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 -8/27 (/.f64 (fma.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (cbrt.f64 -1))) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (pow.f64 x 3))) (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (fma.f64 (/.f64 (/.f64 -2/3 x) x) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 -1)) (fma.f64 4/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 1 (*.f64 x x))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (cbrt.f64 -1))))))
(+.f64 (fma.f64 -2/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (cbrt.f64 -1)))) (*.f64 4/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 x x)))) (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (fma.f64 (/.f64 (/.f64 -2/3 x) x) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 -1)) (fma.f64 4/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 2/3 (/.f64 (-.f64 2 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (*.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))))
(fma.f64 -1 (/.f64 (fma.f64 -4/9 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (*.f64 2/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)))) (pow.f64 x 3)) (+.f64 (fma.f64 -4/3 (*.f64 (/.f64 1 x) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 1 (*.f64 x x))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 (*.f64 x x) (cbrt.f64 -1)))))))
(-.f64 (+.f64 (fma.f64 -2/3 (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 x (*.f64 x (cbrt.f64 -1)))) (*.f64 4/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 x x)))) (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (fma.f64 2/3 (/.f64 (-.f64 (fma.f64 4/3 (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) -4/9))) (pow.f64 x 3)))
(-.f64 (fma.f64 -4/3 (/.f64 (cbrt.f64 (cbrt.f64 -1)) x) (fma.f64 (/.f64 (/.f64 -2/3 x) x) (/.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (cbrt.f64 -1)) (fma.f64 4/9 (/.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (fma.f64 2/3 (+.f64 (/.f64 (fma.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 4/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (cbrt.f64 -1)) 8/27) (*.f64 (fma.f64 4/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) -4/9))) (pow.f64 x 3)))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 2 (*.f64 x (fma.f64 x x x)) (fma.f64 x 2 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 3)))))

prune246.0ms (19.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2740274
Fresh000
Picked011
Done011
Total2742276
Error
0b
Counts
276 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
0.1b
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
Compiler

Compiled 6741 to 5531 computations (17.9% saved)

regimes14.0ms (1.1%)

Accuracy

Total -0.0b remaining (-490.1%)

Threshold costs -0.0b (-490.1%)

Counts
14 → 1
Compiler

Compiled 128 to 93 computations (27.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11110
21510
31710
41810
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))

end34.0ms (2.6%)

Stop Event
done
Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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