Details

Time bar (total: 7.7s)

analyze3.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (15.6%)

Results
476.0ms2046×body1024valid
465.0ms4968×body256valid
175.0ms1014×body512valid
70.0ms228×body2048valid

preprocess18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Outputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Outputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

eval0.0ms (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
30.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
3.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series8.0ms (0.1%)

Counts
3 → 7
Calls

9 calls:

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

rewrite70.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
781×pow1_binary64
731×log1p-expm1-u_binary64
731×expm1-log1p-u_binary64
730×add-log-exp_binary64
712×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114920
2199620
Stop Event
node limit
Counts
3 → 73
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(cbrt.f64 x)
(cbrt.f64 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))))

simplify90.0ms (1.2%)

Algorithm
egg-herbie
Rules
640×distribute-rgt-in_binary64
584×distribute-lft-in_binary64
536×unswap-sqr_binary64
492×associate-*l*_binary64
432×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01952
14746
210744
327538
470937
5231237
6393437
7417237
8447137
9501037
10600737
Stop Event
node limit
Counts
80 → 81
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 1/3) 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1))
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1)

eval23.0ms (0.3%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune38.0ms (0.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New562581
Fresh000
Picked011
Done000
Total562682
Error
28.6b
Counts
82 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
32.1b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
29.3b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.9b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
31.2b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
30.3b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
30.5b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
30.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
31.9b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
46.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
30.4b
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
30.6b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
32.1b
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
30.7b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
46.3b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
30.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))
30.3b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
33.0b
1
31.8b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
30.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
30.3b
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
Compiler

Compiled 678 to 508 computations (25.1% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
2.4b
(-.f64 (+.f64 x 1) x)
Compiler

Compiled 81 to 52 computations (35.8% saved)

series6.0ms (0.1%)

Counts
3 → 16
Calls

9 calls:

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

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
597×fma-def_binary64
502×log-prod_binary64
420×pow-prod-down_binary64
321×fma-neg_binary64
286×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
124732
2339731
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) x)
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (+.f64 x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)) (-.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 2/3 (log1p.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 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(sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (neg.f64 x) x))))) 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simplify91.0ms (1.2%)

Algorithm
egg-herbie
Rules
660×distribute-rgt-in_binary64
606×distribute-lft-in_binary64
536×unswap-sqr_binary64
499×associate-*l*_binary64
446×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01951
15049
210849
329943
476040
5234440
6398140
7420940
8450840
9504740
10604440
Stop Event
node limit
Counts
214 → 205
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
2.4b
(pow.f64 x 1/3)
14.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0%)

Counts
2 → 4
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
1.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
0.0ms
x
@0
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
0.0ms
x
@inf
(pow.f64 x 1/3)
0.0ms
x
@0
(pow.f64 x 1/3)

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
864×pow1_binary64
813×add-log-exp_binary64
813×log1p-expm1-u_binary64
813×expm1-log1p-u_binary64
794×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117914
2224614
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(pow.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1108
2128
Stop Event
saturated
Counts
54 → 54
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
0
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
0

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
2.9b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
3.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite64.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
856×pow1_binary64
799×log1p-expm1-u_binary64
799×expm1-log1p-u_binary64
798×add-log-exp_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
117311
2219511
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 x (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
saturated
Counts
44 → 45
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.4b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
0.6b
(cbrt.f64 x)
21.9b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series21.0ms (0.3%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
6.0ms
x
@-inf
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
1.0ms
x
@inf
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))

rewrite98.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
933×pow1_binary64
876×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
121625
2247125
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) 3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))))

simplify72.0ms (0.9%)

Algorithm
egg-herbie
Rules
756×associate-+l+_binary64
509×associate-*l*_binary64
500×associate-*r*_binary64
487×fma-neg_binary64
326×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611407
15101226
217911132
36468932
Stop Event
node limit
Counts
110 → 127
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(pow.f64 x 1/3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))))))))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 -8/729 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 136/2187 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))) (+.f64 (*.f64 -8/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (*.f64 68/2187 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))))))))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x))))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/9 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -136/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))) (*.f64 -68/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))))) (pow.f64 x 3))))))))
1
(+.f64 1 (*.f64 1/9 x))
(+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x)))
(+.f64 (*.f64 68/2187 (pow.f64 x 3)) (+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x))))
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9)) (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3)))
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 -1/9 (*.f64 x x) 1))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
(+.f64 (cbrt.f64 x) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x))))))
(+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/3))
(+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))))))))
(+.f64 (cbrt.f64 x) (+.f64 (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 -4/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 2/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/81)))))))
(+.f64 (cbrt.f64 x) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (*.f64 -7/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -2/81)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/3)))
(+.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (*.f64 (*.f64 -7/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -2/81) (cbrt.f64 x))))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 -8/729 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 136/2187 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))) (+.f64 (*.f64 -8/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (*.f64 68/2187 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))))))))))))
(+.f64 (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) 112/2187) (fma.f64 1/9 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/81) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18))) (+.f64 (*.f64 -8/729 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (+.f64 (*.f64 2/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (cbrt.f64 x) (+.f64 (*.f64 -4/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/81) (*.f64 68/2187 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))))))))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) 112/2187) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (*.f64 -7/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)))) (fma.f64 -8/729 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (+.f64 (fma.f64 -4/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/81) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 68/2187))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) 2/81 (cbrt.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/3))
(+.f64 (fma.f64 -8/729 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (+.f64 (cbrt.f64 x) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 68/2187 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (*.f64 (*.f64 -7/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -2/81)))) (+.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/729) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) 112/2187)))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (neg.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) -1/3) x)))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3) (/.f64 x -1/3)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (/.f64 (*.f64 1/3 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)) x))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x))))))
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(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 1/9 (/.f64 -4/81 x))))
(+.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 1/9 (/.f64 -4/81 x))))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
12.7b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
14.7b
(cbrt.f64 (fma.f64 x x (-.f64 1 x)))
20.5b
(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
Compiler

Compiled 67 to 45 computations (32.8% saved)

series7.0ms (0.1%)

Counts
3 → 19
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
1.0ms
x
@inf
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
1.0ms
x
@0
(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
1.0ms
x
@inf
(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
0.0ms
x
@-inf
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))

rewrite93.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
622×log-prod_binary64
528×fma-def_binary64
347×pow2_binary64
251×fma-neg_binary64
237×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
128843
2379843
Stop Event
node limit
Counts
3 → 164
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 1 (pow.f64 x 3)))
(cbrt.f64 (fma.f64 x x (-.f64 1 x)))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x x 1) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) 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simplify50.0ms (0.6%)

Algorithm
egg-herbie
Rules
862×fma-def_binary64
739×unswap-sqr_binary64
637×associate-/r*_binary64
431×distribute-neg-frac_binary64
364×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074293
1201284
2527279
31656270
45165266
Stop Event
node limit
Counts
183 → 195
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/9 (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/9 (pow.f64 x 6)) (*.f64 5/81 (pow.f64 x 9)))))
x
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) (*.f64 1/9 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 x 8))) x)) (*.f64 1/9 (/.f64 1 (pow.f64 x 5))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 5/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 13/81 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/3 x))
0
Outputs
1
(+.f64 1 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) 1)
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/9 (pow.f64 x 6))))
(+.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/9 (pow.f64 x 6))))
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (*.f64 -1/9 (pow.f64 x 6)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/9 (pow.f64 x 6) 1))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/9 (pow.f64 x 6)) (*.f64 5/81 (pow.f64 x 9)))))
(+.f64 1 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/9 (pow.f64 x 6) (*.f64 5/81 (pow.f64 x 9)))))
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 5/81 (pow.f64 x 9) (*.f64 -1/9 (pow.f64 x 6))))
(+.f64 (fma.f64 1/3 (pow.f64 x 3) 1) (fma.f64 -1/9 (pow.f64 x 6) (*.f64 5/81 (pow.f64 x 9))))
(fma.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -1/9 1/3) (fma.f64 5/81 (pow.f64 x 9) 1))
(fma.f64 -1/9 (pow.f64 x 6) (fma.f64 5/81 (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) 1)))
x
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x)
(+.f64 x (/.f64 1/3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) x) (*.f64 1/9 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 x (/.f64 1/9 (pow.f64 x 5))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 x (/.f64 -1/9 (pow.f64 x 5))))
(+.f64 x (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/9 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/81 (/.f64 1 (pow.f64 x 8))) x)) (*.f64 1/9 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (-.f64 (+.f64 x (/.f64 5/81 (pow.f64 x 8))) (/.f64 1/9 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 5/81 (pow.f64 x 8))) (+.f64 x (/.f64 -1/9 (pow.f64 x 5))))
(+.f64 x (+.f64 (/.f64 5/81 (pow.f64 x 8)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 -1/9 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 5/81 (pow.f64 x 8)) (/.f64 -1/9 (pow.f64 x 5)))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(*.f64 x (neg.f64 (cbrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1)))
(-.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x (cbrt.f64 -1)))
(neg.f64 (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))))
(+.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 x (cbrt.f64 -1))))
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 x (cbrt.f64 -1))))
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (*.f64 x (cbrt.f64 -1))))
(-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 5/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(+.f64 (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8)))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (-.f64 (/.f64 1/3 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (cbrt.f64 -1))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8)))))
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 5))) (-.f64 (/.f64 5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 x (cbrt.f64 -1)))))
(+.f64 (/.f64 1/3 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (/.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 8)) (pow.f64 x 8)) (*.f64 x (cbrt.f64 -1)))))
(-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (fma.f64 x (cbrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/3 x) x) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -5/81 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1) 2)))))
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 x -1/3))
(fma.f64 x -1/3 1)
(+.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 2/9 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/3 x (*.f64 (*.f64 x x) 2/9)))
(+.f64 1 (fma.f64 (*.f64 x x) 2/9 (*.f64 x -1/3)))
(fma.f64 x -1/3 (fma.f64 x (*.f64 x 2/9) 1))
(fma.f64 x (fma.f64 x 2/9 -1/3) 1)
(+.f64 1 (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 13/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -1/3 x (fma.f64 2/9 (*.f64 x x) (*.f64 (pow.f64 x 3) 13/81))))
(+.f64 (fma.f64 x -1/3 1) (fma.f64 (*.f64 x x) 2/9 (*.f64 (pow.f64 x 3) 13/81)))
(+.f64 1 (fma.f64 (pow.f64 x 3) 13/81 (*.f64 x (+.f64 -1/3 (*.f64 x 2/9)))))
(fma.f64 x -1/3 (fma.f64 (*.f64 x x) (fma.f64 x 13/81 2/9) 1))
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0

eval408.0ms (5.3%)

Compiler

Compiled 19138 to 13067 computations (31.7% saved)

prune191.0ms (2.5%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New78221803
Fresh15520
Picked101
Done145
Total79930829
Error
0.5b
Counts
829 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
32.1b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
61.7b
0
30.3b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
46.2b
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3))
46.3b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
33.0b
1
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
46.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
30.9b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
30.3b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
45.5b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
31.3b
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
46.2b
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
45.5b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
60.1b
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
30.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
43.8b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
29.3b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
46.3b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
29.3b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.6b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
32.1b
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
31.3b
(expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))
60.2b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
Compiler

Compiled 804 to 614 computations (23.6% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
Compiler

Compiled 72 to 47 computations (34.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
1.2b
(pow.f64 (+.f64 x 1) 1/3)
14.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series54.0ms (0.7%)

Counts
2 → 7
Calls

6 calls:

TimeVariablePointExpression
52.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
0.0ms
x
@0
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
0.0ms
x
@inf
(pow.f64 (+.f64 x 1) 1/3)
0.0ms
x
@0
(pow.f64 (+.f64 x 1) 1/3)

rewrite61.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
864×pow1_binary64
813×add-log-exp_binary64
813×log1p-expm1-u_binary64
813×expm1-log1p-u_binary64
794×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117917
2224317
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(pow.f64 (+.f64 x 1) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))))

simplify86.0ms (1.1%)

Algorithm
egg-herbie
Rules
640×distribute-rgt-in_binary64
584×distribute-lft-in_binary64
536×unswap-sqr_binary64
492×associate-*l*_binary64
432×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01952
14746
210744
327538
470937
5231237
6393437
7417237
8447137
9501037
10600737
Stop Event
node limit
Counts
59 → 60
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 1/3) 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1))
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
0.6b
(cbrt.f64 x)
12.7b
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
14.7b
(cbrt.f64 (fma.f64 x x (-.f64 1 x)))
Compiler

Compiled 42 to 23 computations (45.2% saved)

series5.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
1.0ms
x
@0
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
0.0ms
x
@-inf
(/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
0.0ms
x
@inf
(/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x))))

rewrite84.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
897×prod-diff_binary64
453×log-prod_binary64
322×fma-def_binary64
314×pow-prod-down_binary64
252×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
119431
2268431
Stop Event
node limit
Counts
2 → 170
Calls
Call 1
Inputs
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 -1 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 1 (neg.f64 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x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (cbrt.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1/6) (/.f64 x (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 (fma.f64 x x 1) x) 1/6)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 1 1/3) (*.f64 (cbrt.f64 x) (pow.f64 1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify165.0ms (2.2%)

Algorithm
egg-herbie
Rules
908×fma-def_binary64
803×unswap-sqr_binary64
509×distribute-lft-out_binary64
493×*-commutative_binary64
486×sqr-pow_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01847
14947
212147
339041
4122638
5306838
6505838
7520138
8543138
9568438
10607838
11661038
12712438
13767838
Stop Event
node limit
Counts
175 → 177
Calls
Call 1
Inputs
x
x
(+.f64 (*.f64 1/3 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -22/81 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x)))
Outputs
x
x
(+.f64 (*.f64 1/3 (pow.f64 x 2)) x)
(fma.f64 1/3 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/3 1))
(fma.f64 x (*.f64 x 1/3) x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 1/3 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/3) (fma.f64 -1/9 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) (fma.f64 x -1/9 1/3) x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -22/81 (pow.f64 x 4)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -22/81 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/3) (fma.f64 -22/81 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x (fma.f64 x -1/9 1/3)) (fma.f64 -22/81 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -22/81 -1/9) 1/3)) x)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
0.6b
(cbrt.f64 x)
14.7b
(cbrt.f64 (fma.f64 x x -1))
16.8b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
Compiler

Compiled 44 to 28 computations (36.4% saved)

series9.0ms (0.1%)

Counts
3 → 11
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
3.0ms
x
@-inf
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
1.0ms
x
@inf
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
1.0ms
x
@0
(cbrt.f64 (fma.f64 x x -1))
0.0ms
x
@-inf
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
859×prod-diff_binary64
503×log-prod_binary64
307×fma-def_binary64
271×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
121624
2299324
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 x x -1))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (/.f64 1 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (/.f64 1 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2)) (/.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 x -1) 1/6)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (+.f64 x -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (+.f64 x -1) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (+.f64 x -1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))))

simplify72.0ms (0.9%)

Algorithm
egg-herbie
Rules
675×associate-/l*_binary64
574×unswap-sqr_binary64
469×associate-*l*_binary64
414×associate-*r*_binary64
406×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040160
1100152
2259146
3898140
45154140
56808140
67807140
Stop Event
node limit
Counts
206 → 210
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1)))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1))))
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 (*.f64 x x) -1/9 (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 (*.f64 x x) -1/9 1))
(fma.f64 x (fma.f64 x -1/9 1/3) 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 (*.f64 x x) -1/9 1))
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 5/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1))

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.6b
(cbrt.f64 x)
2.4b
(-.f64 (+.f64 x 1) x)
2.4b
(pow.f64 x 1/3)
Compiler

Compiled 88 to 61 computations (30.7% saved)

eval632.0ms (8.2%)

Compiler

Compiled 20096 to 13143 computations (34.6% saved)

prune191.0ms (2.5%)

Pruning

55 alts after pruning (47 fresh and 8 done)

PrunedKeptTotal
New84038878
Fresh12921
Picked101
Done088
Total85355908
Error
0.2b
Counts
908 → 55
Alt Table
Click to see full alt table
StatusErrorProgram
60.1b
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
14.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
30.9b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
31.9b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
32.1b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
58.7b
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
18.5b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
2.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
60.2b
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
32.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
46.3b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
62.2b
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
30.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
30.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
33.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
30.9b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
60.1b
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x))
14.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
61.7b
0
30.3b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
46.2b
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
33.0b
1
18.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
18.1b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.3b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.0b
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
60.1b
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x)))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
60.1b
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
30.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
2.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
60.2b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
0.7b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
7.1b
(/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
46.3b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))
30.6b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
32.1b
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
1.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
Compiler

Compiled 1858 to 1414 computations (23.9% saved)

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
Compiler

Compiled 111 to 71 computations (36% saved)

series64.0ms (0.8%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@0
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
8.0ms
x
@0
(cbrt.f64 (cbrt.f64 x))
8.0ms
x
@inf
(cbrt.f64 (cbrt.f64 x))
8.0ms
x
@-inf
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
7.0ms
x
@inf
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))

rewrite54.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
482×pow1_binary64
462×add-sqr-sqrt_binary64
452×*-un-lft-identity_binary64
447×add-log-exp_binary64
447×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
113519
2137619
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) 1/3) (pow.f64 (pow.f64 x 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))

simplify137.0ms (1.8%)

Algorithm
egg-herbie
Rules
865×sqr-pow_binary64
732×fma-def_binary64
540×unswap-sqr_binary64
390×*-commutative_binary64
317×cube-prod_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023396
156396
2111396
3280396
41050280
52159280
62345280
72636280
83052280
93499280
104108280
114869280
125757280
136965280
Stop Event
node limit
Counts
86 → 69
Calls
Call 1
Inputs
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(pow.f64 x 1/9)
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
Outputs
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(pow.f64 (pow.f64 (*.f64 x x) 1/36) 4)
(pow.f64 (pow.f64 (*.f64 x x) 1/72) 8)
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/72) 8) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1)))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.2b
(pow.f64 (+.f64 x 1) 1/3)
1.7b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
2.4b
(pow.f64 x 1/3)
Compiler

Compiled 24 to 18 computations (25% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
1.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
0.0ms
x
@0
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
870×pow1_binary64
819×add-log-exp_binary64
819×log1p-expm1-u_binary64
819×expm1-log1p-u_binary64
799×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
118611
2229311
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1108
2128
Stop Event
saturated
Counts
39 → 39
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
0
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
0

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
21.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series4.0ms (0.1%)

Counts
2 → 18
Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
934×pow1_binary64
877×add-log-exp_binary64
877×log1p-expm1-u_binary64
877×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
121614
2246614
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) 3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
887×fma-neg_binary64
577×fma-def_binary64
416×distribute-rgt-neg-in_binary64
370×sub-neg_binary64
319×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038191
1119140
2317138
3815132
42409132
54200132
67206132
Stop Event
node limit
Counts
77 → 75
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
Outputs
(-.f64 1 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(+.f64 1 (neg.f64 (cbrt.f64 x)))
(-.f64 1 (cbrt.f64 x))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(+.f64 (+.f64 1 (*.f64 x 1/3)) (neg.f64 (cbrt.f64 x)))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3))) (neg.f64 (cbrt.f64 x)))
(-.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 (fma.f64 x (*.f64 x -1/9) 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) 1) (cbrt.f64 x))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3)))) (neg.f64 (cbrt.f64 x)))
(-.f64 (+.f64 (fma.f64 x 1/3 (*.f64 5/81 (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 x x) 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 5/81 (pow.f64 x 3) 1))) (cbrt.f64 x))
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) (cbrt.f64 x))
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3))
(neg.f64 (cbrt.f64 x))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1))))
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 (neg.f64 x)) (neg.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(pow.f64 x 1/3)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(pow.f64 x 1/3)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(pow.f64 x 1/3)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(pow.f64 x 1/3)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 1 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
14.7b
(cbrt.f64 (pow.f64 (+.f64 x 1) 2))
Compiler

Compiled 77 to 51 computations (33.8% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite45.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
584×pow1_binary64
548×add-log-exp_binary64
548×log1p-expm1-u_binary64
548×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11459
216339
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 x 1) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))))

simplify89.0ms (1.2%)

Algorithm
egg-herbie
Rules
660×distribute-rgt-in_binary64
606×distribute-lft-in_binary64
536×unswap-sqr_binary64
499×associate-*l*_binary64
446×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01939
15037
210837
329931
476028
5234428
6398128
7420928
8450828
9504728
10604428
Stop Event
node limit
Counts
22 → 25
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
Compiler

Compiled 90 to 57 computations (36.7% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
1.0ms
x
@0
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.0ms
x
@inf
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite59.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
445×log-prod_binary64
403×fma-def_binary64
385×pow-prod-down_binary64
325×exp-prod_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123816
2281816
Stop Event
node limit
Counts
1 → 57
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 x) x)) (-.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/18) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/18) 4) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (sqrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 x 1/18) 4) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/18) 4)) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/6)) (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
57 → 57
Calls
Call 1
Inputs
Outputs

eval385.0ms (5%)

Compiler

Compiled 13871 to 9478 computations (31.7% saved)

prune194.0ms (2.5%)

Pruning

60 alts after pruning (50 fresh and 10 done)

PrunedKeptTotal
New58130611
Fresh222042
Picked011
Done3912
Total60660666
Error
0.1b
Counts
666 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
60.1b
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
14.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
30.9b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
31.9b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
32.1b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
14.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
32.9b
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
30.0b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3)))
14.9b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
30.3b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
15.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
18.5b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
7.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 x (cbrt.f64 x))))))
32.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 x) 2))))
32.9b
(-.f64 1 (cbrt.f64 x))
14.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
14.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
0.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2))))
30.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
30.9b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
1.1b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
33.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 x) 2))))
32.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/9) (pow.f64 (cbrt.f64 x) 2))))
1.8b
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
46.2b
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
33.0b
1
18.1b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
60.1b
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
61.7b
0
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
18.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x)))) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
15.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
2.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
32.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
60.2b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
7.1b
(/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.3b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
46.3b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
27.5b
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
18.5b
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
32.1b
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
14.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
1.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
46.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Compiler

Compiled 1172 to 901 computations (23.1% saved)

regimes284.0ms (3.7%)

Counts
115 → 1
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 x)))) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/9) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (*.f64 x (cbrt.f64 x))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/72) 8) (cbrt.f64 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2))))
Outputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

88.0ms
x
15.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 2015 to 1380 computations (31.5% saved)

regimes297.0ms (3.9%)

Counts
59 → 3
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

210.0ms
x
14.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
7.3b3x
14.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 656 to 443 computations (32.5% saved)

bsearch228.0ms (3%)

Algorithm
binary-search
Steps
TimeLeftRight
104.0ms
1.5653427225492753e+145
6.108592986888319e+156
123.0ms
-5.0582001216640704e+179
-5.02107882161388e+152
Compiler

Compiled 12 to 9 computations (25% saved)

regimes108.0ms (1.4%)

Counts
58 → 2
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

62.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
15.0b2x
18.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
18.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 637 to 430 computations (32.5% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-15.677859053130133
-0.602516291185853
Compiler

Compiled 12 to 9 computations (25% saved)

regimes166.0ms (2.2%)

Counts
57 → 2
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(-.f64 (/.f64 x (expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x))))) (cbrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x (neg.f64 (cbrt.f64 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 x (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x)) 2))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (pow.f64 x 1/3))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

69.0ms
x
37.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
15.1b2x
18.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
18.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 619 to 419 computations (32.3% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
-15.677859053130133
-0.602516291185853
Compiler

Compiled 12 to 9 computations (25% saved)

regimes124.0ms (1.6%)

Counts
47 → 3
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 (pow.f64 x 1/36) 4) 3))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) -1)) x) (cbrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))) (neg.f64 (cbrt.f64 x)))
(+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

87.0ms
x
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
25.5b3x
25.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
25.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 452 to 304 computations (32.7% saved)

bsearch55.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
435844974019.13763
3049144765228302.5
39.0ms
-24399949420578780.0
-16656208939.85756
Compiler

Compiled 12 to 9 computations (25% saved)

regimes119.0ms (1.5%)

Counts
25 → 3
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

93.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
25.5b3x
25.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
25.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 207 to 142 computations (31.4% saved)

bsearch53.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
435844974019.13763
3049144765228302.5
17.0ms
-24399949420578780.0
-16656208939.85756
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.3%)

Counts
22 → 1
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/9) 3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(-.f64 (/.f64 x (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (pow.f64 x 1/3))
Outputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Calls

2 calls:

13.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
30.3b1x
30.3b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 153 to 107 computations (30.1% saved)

regimes54.0ms (0.7%)

Counts
9 → 1
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
Outputs
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
Calls

1 calls:

52.0ms
x
Results
ErrorSegmentsBranch
32.9b1x
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
0
0
1
0
1
0
1
(-.f64 1 (cbrt.f64 x))
Outputs
(-.f64 1 (cbrt.f64 x))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
32.9b1x
Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
0
0
1
0
1
0
1
Outputs
1
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
33.0b1x
Compiler

Compiled 10 to 9 computations (10% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
0
0
Outputs
0
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
61.7b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0544294967642
1684294967642
2744294967642
3764294967642
4774294967642
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 1 (cbrt.f64 x))
1
0
Outputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -505820012166407044214656059035185296666919623710738303832053832361972824784529491910032263670644676911378936272408814006002780775783257831239990188711624584374267360361296638771200) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 15653427225492752610089181221769164928712054615481387354608889891433223446852541188831930207618469469699579039693404623725892316856274268664627200) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (exp.f64 (*.f64 2/3 (log1p.f64 x))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 x -8825850023705503/562949953421312) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -24399949420578780) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 7140884054329551/16384) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 1 (cbrt.f64 x))
1
0
Compiler

Compiled 269 to 191 computations (29% saved)

soundness0.0ms (0%)

end259.0ms (3.4%)

Compiler

Compiled 259 to 172 computations (33.6% saved)

Profiling

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