Details

Time bar (total: 3.0s)

analyze4.0ms (0.1%)

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
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (43.8%)

Results
1.3s8256×body256valid

preprocess78.0ms (2.6%)

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 9 to 7 computations (22.2% saved)

simplify65.0ms (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))

eval1.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 8 to 6 computations (25% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 11 computations (31.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
787×pow1_binary64
737×log1p-expm1-u_binary64
737×expm1-log1p-u_binary64
735×add-log-exp_binary64
722×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113710
2196310
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 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))))))))

simplify45.0ms (1.5%)

Algorithm
egg-herbie
Rules
848×fma-neg_binary64
571×fma-def_binary64
547×associate-*l*_binary64
537×cancel-sign-sub-inv_binary64
471×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029147
191135
2268129
3858126
42664122
Stop Event
node limit
Counts
45 → 47
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))
(+.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 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))
(+.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 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))

eval24.0ms (0.8%)

Compiler

Compiled 563 to 443 computations (21.3% saved)

prune13.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh000
Picked011
Done000
Total42648
Error
0b
Counts
48 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
33.1b
(+.f64 (*.f64 2 x) 1)
34.0b
1
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
30.2b
(+.f64 -1 (/.f64 -2 x))
31.3b
-1
0.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
Compiler

Compiled 35 to 29 computations (17.1% saved)

localize28.0ms (0.9%)

Local error

Found 6 expressions with local error:

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

Compiled 35 to 26 computations (25.7% saved)

series54.0ms (1.8%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
1.0ms
x
@inf
(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
1.0ms
x
@-inf
(cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))

rewrite141.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
953×pow1_binary64
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
898×add-log-exp_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
120522
2246222
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(cbrt.f64 (/.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))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))))) (#(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 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))))))) (#(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 (+.f64 (neg.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 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/6) 3))))) (#(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 (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))))) 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simplify164.0ms (5.5%)

Algorithm
egg-herbie
Rules
669×associate-+l+_binary64
612×associate-*l*_binary64
541×associate-*r*_binary64
531×associate-+r+_binary64
421×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571470
15221355
220811252
Stop Event
node limit
Counts
106 → 114
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
(-.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))))))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.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 (*.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)) (cbrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (+.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)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1)))) (pow.f64 x 3)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))))))))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x)) 1)
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x))))) 1)
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/9 (*.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 (*.f64 1/3 (-.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 (*.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)))) (cbrt.f64 -1)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x)))))) 1)
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)))))))
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))
(+.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)))
-1
(-.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x)))) 1)
(+.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) -2) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) -2 -1)
(fma.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x) -1)
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))))))) 1)
(+.f64 (fma.f64 8/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 1 (*.f64 x x))) (fma.f64 -4/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 x x))))))) -1)
(fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (+.f64 (fma.f64 -4/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2)))))) (-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -2/3) x)) 1)))
(fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x))) (fma.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) -1)))
(-.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.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 (*.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)) (cbrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (+.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)) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1)))) (pow.f64 x 3)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))))))))))) 1)
(+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 3) (fma.f64 4/9 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (*.f64 2/3 (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (cbrt.f64 -1)))))) (-.f64 (fma.f64 -4/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) (fma.f64 1/3 (/.f64 (-.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 4/3 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2)) (pow.f64 x 3)) (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))))) (fma.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 x x)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (pow.f64 x 3))) (fma.f64 8/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 1 (*.f64 x x))) (*.f64 -2/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))) (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)))))))))) 1))
(+.f64 (fma.f64 -4/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) (+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (fma.f64 4/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (pow.f64 x 3))) (fma.f64 -2/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2)))) (pow.f64 x 3)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x)) (/.f64 (*.f64 8/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 x x))))) (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2)))))))) (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 4/9 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (/.f64 (*.f64 2/3 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2)) (cbrt.f64 -1)))) 1))
(+.f64 (+.f64 (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) x))) (+.f64 (+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (pow.f64 x 3)) 4/9))) (fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) (pow.f64 x 3)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x)))) (fma.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (fma.f64 2/3 (-.f64 -8/27 (/.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (cbrt.f64 -1))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) -1))
-1
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x)) 1)
(+.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) -2) -1)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) -2 -1)
(fma.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x) -1)
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x))))) 1)
(+.f64 (fma.f64 8/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 1 (*.f64 x x))) (fma.f64 -4/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 1 x)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 x x))))))) -1)
(fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (+.f64 (fma.f64 -4/3 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2)))))) (-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -2/3) x)) 1)))
(fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (+.f64 (fma.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x))) (fma.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) -1)))
(-.f64 (+.f64 (*.f64 8/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4/9 (*.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 (*.f64 1/3 (-.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 (*.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)))) (cbrt.f64 -1)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x)))))) 1)
(+.f64 (fma.f64 8/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 1 (*.f64 x x))) (fma.f64 -1 (/.f64 (fma.f64 -4/9 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 1/3 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (fma.f64 -4/9 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (*.f64 2/3 (/.f64 (-.f64 2 (fma.f64 -4/3 (*.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)))) (cbrt.f64 -1) (*.f64 2/3 (*.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3)) (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (*.f64 x x) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 -2/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (cbrt.f64 -1)))))) (fma.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) 2) x)))))) -1)
(+.f64 -1 (fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (-.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2))))) (-.f64 (*.f64 -1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 x 2)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -4/9 (fma.f64 1/3 (-.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 -1) (fma.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) -4/9 (/.f64 (*.f64 2/3 (-.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 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 (fma.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 -2/3 (/.f64 (cbrt.f64 -1) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3)))))
(fma.f64 8/9 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x)) (+.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) -4/9 (fma.f64 1/3 (+.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (/.f64 -8/27 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 -1) (fma.f64 2/3 (+.f64 (/.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2) (cbrt.f64 -1)) 8/27) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) -4/9))) (*.f64 (fma.f64 4/9 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (/.f64 (+.f64 -4/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -8/9)) (cbrt.f64 -1))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3))) (+.f64 (/.f64 (+.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -4/9)) (*.f64 x x)) (fma.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -2 x) -1))))
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(fma.f64 x 2/3 1)
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 x 1) (*.f64 (*.f64 x x) 2/9))
(fma.f64 x 2/3 (fma.f64 (*.f64 x 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 (pow.f64 x 3) 22/81)))
(+.f64 (fma.f64 (*.f64 x x) 2/9 (*.f64 (pow.f64 x 3) 22/81)) (fma.f64 x 2/3 1))
(+.f64 (*.f64 (*.f64 x x) (+.f64 2/9 (*.f64 22/81 x))) (fma.f64 x 2/3 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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) -1/3) (*.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 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (*.f64 -1/3 (/.f64 (+.f64 2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (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 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (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 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3)) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (/.f64 8/27 (pow.f64 (cbrt.f64 -1) 2))) -2) (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) -1/3) (*.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 (/.f64 -1/3 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 4/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 4/3 2) (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)))

localize9.0ms (0.3%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize9.0ms (0.3%)

Compiler

Compiled 12 to 9 computations (25% saved)

eval249.0ms (8.3%)

Compiler

Compiled 3652 to 3165 computations (13.3% saved)

prune107.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1601161
Fresh112
Picked011
Done033
Total1616167
Error
0b
Counts
167 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
33.1b
(+.f64 (*.f64 2 x) 1)
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
30.2b
(+.f64 -1 (/.f64 -2 x))
31.3b
-1
0.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
34.0b
1
Compiler

Compiled 35 to 29 computations (17.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
33.1b
(+.f64 (*.f64 2 x) 1)
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
30.2b
(+.f64 -1 (/.f64 -2 x))
31.3b
-1
0.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
34.0b
1
Compiler

Compiled 35 to 29 computations (17.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
33.1b
(+.f64 (*.f64 2 x) 1)
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
30.2b
(+.f64 -1 (/.f64 -2 x))
31.3b
-1
0.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
34.0b
1
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes56.0ms (1.9%)

Counts
7 → 1
Calls
Call 1
Inputs
1
1
-1
(+.f64 (*.f64 2 x) 1)
(+.f64 -1 (/.f64 -2 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Calls

2 calls:

48.0ms
x
5.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 41 to 32 computations (22% saved)

regimes26.0ms (0.9%)

Counts
5 → 3
Calls
Call 1
Inputs
1
1
-1
(+.f64 (*.f64 2 x) 1)
(+.f64 -1 (/.f64 -2 x))
Outputs
(+.f64 -1 (/.f64 -2 x))
(+.f64 (*.f64 2 x) 1)
(+.f64 -1 (/.f64 -2 x))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch190.0ms (6.3%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.8121444078446078
448.45080733829684
166.0ms
-478.1747337341421
-1.315730858009153e-6
Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (1%)

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

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
2.0b3x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch52.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
0.8121444078446078
448.45080733829684
24.0ms
-478.1747337341421
-1.315730858009153e-6
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.8%)

Counts
3 → 3
Calls
Call 1
Inputs
1
1
-1
Outputs
-1
1
-1
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
2.3b3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch65.0ms (2.2%)

Algorithm
binary-search
Steps
TimeLeftRight
31.0ms
0.8121444078446078
448.45080733829684
33.0ms
-478.1747337341421
-1.315730858009153e-6
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
34.0b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02480
13280
23580
33780
43880
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -8412138877590111/17592186044416) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 14981420042403872768/18446744073709551616) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 14981420042403872768/18446744073709551616) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 14981420042403872768/18446744073709551616) 1 -1))
1
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -8412138877590111/17592186044416) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 14981420042403872768/18446744073709551616) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -8412138877590111/17592186044416) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 457196656567501/562949953421312) (+.f64 1 (*.f64 x 2)) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 14981420042403872768/18446744073709551616) (+.f64 (*.f64 2 x) 1) -1))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 457196656567501/562949953421312) (+.f64 1 (*.f64 x 2)) -1))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 14981420042403872768/18446744073709551616) 1 -1))
(if (<=.f64 x -8412138877590111/17592186044416) -1 (if (<=.f64 x 457196656567501/562949953421312) 1 -1))
1

end135.0ms (4.5%)

Stop Event
fuel
Compiler

Compiled 120 to 96 computations (20% saved)

Profiling

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