Details

Time bar (total: 5.1s)

analyze3.0ms (0.1%)

Algorithm
1×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 (23.3%)

Results
497.0ms2086×body1024valid
447.0ms4931×body256valid
168.0ms1033×body512valid
60.0ms206×body2048valid

preprocess22.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
011
Stop Event
1×saturated
1×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)

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
Stop Event
1×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
31.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (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)

series10.0ms (0.2%)

Counts
3 → 7
Calls

9 calls:

TimeVariablePointExpression
5.0ms
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))
1.0ms
x
@-inf
(cbrt.f64 x)
0.0ms
x
@inf
(cbrt.f64 x)

rewrite66.0ms (1.3%)

Algorithm
1×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
1×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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))))

simplify88.0ms (1.7%)

Algorithm
1×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
1×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 (0.5%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune34.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New592281
Fresh000
Picked011
Done000
Total592382
Error
30.0b
Counts
82 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
47.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
31.7b
(/.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))))))
▶32.1b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
▶32.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
▶30.7b
(/.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)))))
✓31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
32.5b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
32.7b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
31.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
32.0b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
▶47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
31.8b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.6b
0
32.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))
31.8b
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
32.1b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
32.9b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
31.8b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
32.7b
1
31.8b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
32.1b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
▶33.2b
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (cbrt.f64 x))
Compiler

Compiled 594 to 458 computations (22.9% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓2.4b
(-.f64 (+.f64 x 1) x)
Compiler

Compiled 81 to 52 computations (35.8% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite62.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
802×add-log-exp_binary64
802×log1p-expm1-u_binary64
802×expm1-log1p-u_binary64
786×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
117716
2226716
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 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 1 (+.f64 x (neg.f64 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)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 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 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 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x (+.f64 x 1))))))))) (#(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 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x (+.f64 x 1)))) (-.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)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x (+.f64 x 1)))))))) (#(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 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x (+.f64 x 1))))))))) (#(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)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (-.f64 1 x))) (-.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.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)) 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 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 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 log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 x))))) (#(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 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(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 (sqrt.f64 x) (sqrt.f64 x) (-.f64 1 x))))) (#(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 -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (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) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3)))))))

simplify91.0ms (1.8%)

Algorithm
1×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
1×node limit
Counts
77 → 68
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 (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
✓2.6b
(pow.f64 x 1/3)
✓15.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0.1%)

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)

rewrite58.0ms (1.1%)

Algorithm
1×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
1×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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))

simplify7.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1108
2128
Stop Event
1×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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓1.0b
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
✓15.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
0.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
0.0ms
x
@0
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (cbrt.f64 x)))

rewrite57.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
863×pow1_binary64
807×expm1-log1p-u_binary64
806×log1p-expm1-u_binary64
805×add-log-exp_binary64
785×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
117014
2220514
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (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))) (cbrt.f64 (cbrt.f64 (*.f64 x 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 (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 (-.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 1 (cbrt.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) (cbrt.f64 (*.f64 x x))) (/.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) (cbrt.f64 (*.f64 x x)))))))) (#(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) (cbrt.f64 (*.f64 x x))) (+.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) (cbrt.f64 (*.f64 x x)))) (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 log1p.f64 (expm1.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 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 (+.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)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (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 (cbrt.f64 (*.f64 x x)) 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 /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) 1) (+.f64 (+.f64 1 (cbrt.f64 x)) 1))))) (#(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 (cbrt.f64 (*.f64 x x)))))) (#(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 log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))

simplify7.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
1×saturated
Counts
60 → 61
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

localize18.0ms (0.3%)

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)
✓22.5b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series15.0ms (0.3%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
4.0ms
x
@-inf
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
3.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
1.0ms
x
@0
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))

rewrite67.0ms (1.3%)

Algorithm
1×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
1×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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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))))))

simplify71.0ms (1.4%)

Algorithm
1×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
1×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))))

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))
0.6b
(cbrt.f64 x)
✓1.1b
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)
✓15.4b
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (cbrt.f64 x))
Compiler

Compiled 48 to 37 computations (22.9% saved)

series7.0ms (0.1%)

Counts
3 → 11
Calls

9 calls:

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

rewrite75.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
845×prod-diff_binary64
407×log-prod_binary64
340×fma-def_binary64
294×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
122524
2279124
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))
Outputs
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simplify164.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1203×fma-def_binary64
750×sqr-pow_binary64
605×cube-prod_binary64
479×fabs-mul_binary64
370×pow-sqr_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
02995
16987
217481
349969
4130365
5236965
6289765
7303165
8318565
9337265
10362563
11429663
12470563
13523563
14590163
15672963
16713063
17749463
18782663
Stop Event
1×node limit
Counts
174 → 177
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
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 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))
(+.f64 1 (fma.f64 x 1/6 (*.f64 x (*.f64 x -5/72))))
(fma.f64 x 1/6 (fma.f64 -5/72 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x -5/72 1/6) 1)
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x)))))
(+.f64 (fma.f64 x 1/6 (*.f64 x (*.f64 x -5/72))) (fma.f64 55/1296 (pow.f64 x 3) 1))
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 -5/72 (*.f64 x x) 1)))
(fma.f64 x (fma.f64 x -5/72 1/6) (fma.f64 55/1296 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 55/1296 -5/72) 1/6) 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 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 1/3 x (*.f64 (pow.f64 x 3) 5/81)) (fma.f64 (*.f64 x x) -1/9 1))
(fma.f64 x (*.f64 x -1/9) (fma.f64 1/3 x (fma.f64 (pow.f64 x 3) 5/81 1)))
(fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 (pow.f64 x 3) 5/81 1))
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x 5/81 -1/9) 1/3) 1)

eval276.0ms (5.4%)

Compiler

Compiled 13832 to 9557 computations (30.9% saved)

prune115.0ms (2.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New68318701
Fresh15217
Picked101
Done235
Total70123724
Error
0.5b
Counts
724 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
61.1b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
30.7b
(/.f64 (-.f64 (+.f64 x 1) x) (+.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)))))
31.8b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
61.6b
0
✓31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
33.2b
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (cbrt.f64 x))
47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
▶32.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
▶47.2b
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
32.5b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
32.7b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
31.8b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
▶61.4b
(cbrt.f64 x)
30.7b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
▶0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.7b
(/.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)))))
32.7b
1
31.8b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
✓32.1b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
47.3b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
47.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
▶31.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
Compiler

Compiled 560 to 424 computations (24.3% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
Compiler

Compiled 72 to 47 computations (34.7% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
2.0ms
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)))

rewrite52.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
898×pow1_binary64
840×log1p-expm1-u_binary64
840×expm1-log1p-u_binary64
839×add-log-exp_binary64
818×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
117116
2233916
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) 3) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)) (+.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) (cbrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) (cbrt.f64 (*.f64 (+.f64 x 1) x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (-.f64 (cbrt.f64 (*.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (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))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (-.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 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 (pow.f64 (*.f64 (cbrt.f64 x) (+.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 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) 2))))) (#(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 cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) 3))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))) (#(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 log1p.f64 (expm1.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 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 (+.f64 x 1)) (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
Outputs

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
Compiler

Compiled 4 to 2 computations (50% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
✓1.1b
(pow.f64 (+.f64 x 1) 1/6)
2.6b
(pow.f64 x 1/3)
✓9.9b
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
Compiler

Compiled 35 to 28 computations (20% saved)

series6.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
1.0ms
x
@inf
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
1.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
1.0ms
x
@inf
(pow.f64 (+.f64 x 1) 1/6)
1.0ms
x
@0
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))

rewrite74.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
797×prod-diff_binary64
414×log-prod_binary64
314×fma-def_binary64
279×pow-prod-down_binary64
265×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
125224
2298224
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(pow.f64 (+.f64 x 1) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
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)) (+.f64 (neg.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 -1 (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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (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 (fma.f64 1 (cbrt.f64 (+.f64 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 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 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 (cbrt.f64 (+.f64 x 1)) 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 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) 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1/12) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 1/12) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) 2) (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (sqrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (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 fma.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 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 x 1) 1/18) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 x 1) 1/18) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/18) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)) (pow.f64 (+.f64 x 1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 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 1 (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 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/12) (sqrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 1/12))))) (#(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 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (+.f64 x 1) 1/18))))) (#(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 /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))))))) (#(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 log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))))

simplify54.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
607×associate-/r*_binary64
535×associate-*l/_binary64
496×fma-def_binary64
437×*-commutative_binary64
358×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0113806
1314764
2893629
33217455
Stop Event
1×node limit
Counts
181 → 197
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(pow.f64 x 1/3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(pow.f64 x 1/6)
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
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 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2)))))))
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 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2)
(cbrt.f64 (exp.f64 (log.f64 x)))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))
(+.f64 1 (fma.f64 x 1/6 (*.f64 x (*.f64 x -5/72))))
(fma.f64 x 1/6 (fma.f64 x (*.f64 x -5/72) 1))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x)))))
(+.f64 (fma.f64 x 1/6 (*.f64 x (*.f64 x -5/72))) (fma.f64 55/1296 (pow.f64 x 3) 1))
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 x (*.f64 x -5/72) 1)))
(pow.f64 x 1/6)
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6))
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (pow.f64 x 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (pow.f64 x 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6)))
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (+.f64 (pow.f64 x 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (pow.f64 x 1/6)))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))
(pow.f64 (exp.f64 1/6) (log.f64 x))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (*.f64 (pow.f64 -1 1/6) 1/6)) x))
(*.f64 (+.f64 (/.f64 1/6 x) 1) (pow.f64 (exp.f64 1/6) (log.f64 x)))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x))))
(+.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (/.f64 -5/72 x))))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 55/1296 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x)))))
(+.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (+.f64 (/.f64 55/1296 (*.f64 x x)) (/.f64 -5/72 x)))))
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 x (*.f64 x -1/9) 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 (pow.f64 x 3) 5/81 (*.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 (pow.f64 x 3) 5/81 1)))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))
(+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (cbrt.f64 x)))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (*.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 55/648 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) -5/216))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 55/648 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) 1/36 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) -5/216))))))
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (cbrt.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81))
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (cbrt.f64 x))) (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2)
(cbrt.f64 (exp.f64 (log.f64 x)))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x)))
(fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2))
(*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 (exp.f64 (log.f64 x))))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) -1/9)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) -1/9) (*.f64 x x))))
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (fma.f64 -1/9 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2)))
(+.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (/.f64 -1/9 x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -55/648 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 5/216 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -5/36 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -5/81) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) -1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (fma.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) -1/9) (*.f64 x x)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (/.f64 (pow.f64 x 3) -5/81)))
(+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) 5/81) (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 (exp.f64 (log.f64 x)))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) (-.f64 -1/9 (/.f64 -5/81 x))))

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
✓0.7b
(cbrt.f64 (cbrt.f64 x))
✓0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
✓22.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series43.0ms (0.8%)

Counts
3 → 30
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@0
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
3.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (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))

rewrite64.0ms (1.2%)

Algorithm
1×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
01019
121619
2246619
Stop Event
1×node limit
Counts
3 → 80
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)
(cbrt.f64 (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 (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 log1p.f64 (expm1.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 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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.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 (cbrt.f64 (cbrt.f64 x)) 1)))) (#(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 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1/3))))) (#(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 (pow.f64 (cbrt.f64 x) 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(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 (cbrt.f64 (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (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 (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 log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))))))))

simplify78.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
887×fma-neg_binary64
577×fma-def_binary64
416×distribute-rgt-neg-in_binary64
349×unswap-sqr_binary64
322×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043340
1135304
2347302
3910296
42867252
55181252
67702252
Stop Event
1×node limit
Counts
110 → 99
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)))
(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
(-.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 (fma.f64 -1/9 (*.f64 x x) 1) (-.f64 (fma.f64 x 1/3 (*.f64 5/81 (pow.f64 x 3))) (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)) (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)) (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)) (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)) (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)) (cbrt.f64 -1))
(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 (pow.f64 (neg.f64 x) 1/36) 4) (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 (pow.f64 (neg.f64 x) 1/36) 4) (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 (pow.f64 (neg.f64 x) 1/36) 4) (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 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
0.7b
(cbrt.f64 (cbrt.f64 x))
✓13.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
✓31.9b
(cbrt.f64 (*.f64 x x))
Compiler

Compiled 50 to 17 computations (66% saved)

series64.0ms (1.3%)

Counts
2 → 4
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
22.0ms
x
@0
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
18.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
0.0ms
x
@0
(cbrt.f64 (*.f64 x x))
0.0ms
x
@inf
(cbrt.f64 (*.f64 x x))

rewrite83.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
997×prod-diff_binary64
450×log-prod_binary64
427×fma-def_binary64
251×pow2_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
125017
2288017
Stop Event
1×node limit
Counts
2 → 164
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
Outputs
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((#(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)) (+.f64 (neg.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 -1 (cbrt.f64 x) (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 (fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 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x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.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 fma.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) 2) (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (sqrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.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))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 1/6)) (pow.f64 (cbrt.f64 x) 1/6) (cbrt.f64 (+.f64 x 1)))))))

simplify10.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1108
2128
Stop Event
1×saturated
Counts
168 → 168
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

eval348.0ms (6.8%)

Compiler

Compiled 13949 to 8797 computations (36.9% saved)

prune147.0ms (2.9%)

Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New66423687
Fresh10515
Picked011
Done167
Total67535710
Error
0.2b
Counts
710 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
17.3b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
17.3b
(/.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)))))
31.8b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
15.1b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
61.1b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
18.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (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)))
✓32.1b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
▶31.8b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
▶32.8b
(-.f64 1 (cbrt.f64 x))
0.8b
(/.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)))))
✓31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
▶32.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))))))
47.3b
(-.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)))))
33.2b
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (cbrt.f64 x))
✓32.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
32.5b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
32.7b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
8.2b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
31.8b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
✓47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.7b
1
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
17.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
32.1b
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
8.4b
(/.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)))))
61.6b
0
62.7b
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
✓31.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
▶17.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
17.8b
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓61.4b
(cbrt.f64 x)
18.2b
(/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Compiler

Compiled 1067 to 819 computations (23.2% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 97 to 70 computations (27.8% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (cbrt.f64 x))
0.6b
(cbrt.f64 x)
Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite42.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
489×pow1_binary64
478×add-sqr-sqrt_binary64
459×add-log-exp_binary64
459×log1p-expm1-u_binary64
459×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11016
212166
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (cbrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (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 (cbrt.f64 (-.f64 1 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cbrt.f64 x))) (sqrt.f64 (-.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 (+.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (cbrt.f64 x)) (-.f64 1 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (+.f64 1 (+.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cbrt.f64 x) 2)) (+.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (+.f64 1 (+.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 1 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cbrt.f64 x))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013
143
Stop Event
1×saturated
Counts
31 → 29
Calls
Call 1
Inputs
1
1
1
Outputs
1
1
1

localize20.0ms (0.4%)

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))))

rewrite56.0ms (1.1%)

Algorithm
1×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
1×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 log1p.f64 (expm1.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 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
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
1×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 (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
✓17.6b
(cbrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 83 to 58 computations (30.1% saved)

series3.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

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

rewrite53.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
754×pow1_binary64
703×add-log-exp_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
686×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
118315
2206315
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (+.f64 x 1) x))
(pow.f64 (cbrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x 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 (pow.f64 (+.f64 x (*.f64 x x)) 1/6) (pow.f64 (+.f64 x (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (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 1)) (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 1/3))))))
((#(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 1 (pow.f64 (cbrt.f64 x) 2))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(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 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(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 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
39 → 39
Calls
Call 1
Inputs
Outputs

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓2.1b
(exp.f64 (log.f64 (cbrt.f64 x)))
Compiler

Compiled 87 to 49 computations (43.7% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite44.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
318×associate-*l*_binary64
316×pow1_binary64
304×add-sqr-sqrt_binary64
296×*-un-lft-identity_binary64
293×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
1813
28273
Stop Event
1×node limit
Counts
1 → 55
Calls
Call 1
Inputs
(exp.f64 (log.f64 (cbrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.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 (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 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (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) (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 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (cbrt.f64 x))))))) (#(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 x 1/4) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (*.f64 (pow.f64 x 1/12) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 5)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/6)) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 5))) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/6) 1/3) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/6 (log.f64 x))) (pow.f64 (E.f64) (*.f64 1/6 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 1 (log.f64 (cbrt.f64 x)))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (cbrt.f64 x)))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (cbrt.f64 x) -1) 2) (+.f64 (cbrt.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 x)) (+.f64 1 (cbrt.f64 x))) 1) (+.f64 (+.f64 1 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (cbrt.f64 x) -1) 2)) (-.f64 1 (+.f64 (cbrt.f64 x) -1)))))) (#(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 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(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 pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (pow.f64 (log.f64 (cbrt.f64 x)) 1/6)) (pow.f64 (log.f64 (cbrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (pow.f64 (log.f64 (cbrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (pow.f64 (log.f64 (cbrt.f64 x)) 1/4)) (pow.f64 (log.f64 (cbrt.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(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 log1p.f64 (expm1.f64 (cbrt.f64 x)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
55 → 55
Calls
Call 1
Inputs
Outputs

eval387.0ms (7.6%)

Compiler

Compiled 14108 to 10071 computations (28.6% saved)

prune179.0ms (3.5%)

Pruning

43 alts after pruning (33 fresh and 10 done)

PrunedKeptTotal
New56715582
Fresh51823
Picked011
Done2911
Total57443617
Error
0.2b
Counts
617 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
17.3b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
17.3b
(/.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)))))
0.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 3) 3) (cbrt.f64 x)))))
32.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (exp.f64 1/3) (log.f64 x))))))
31.8b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
15.1b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
61.1b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))) (cbrt.f64 x))
✓32.1b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
✓31.8b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
✓32.8b
(-.f64 1 (cbrt.f64 x))
0.8b
(/.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)))))
✓31.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
✓32.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))))))
47.3b
(-.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)))))
33.2b
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (cbrt.f64 x))
32.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (pow.f64 (cbrt.f64 x) 1/6))))))
32.5b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
31.8b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
8.2b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
32.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.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)))) (exp.f64 (log.f64 (cbrt.f64 x)))))))
61.6b
0
17.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
✓61.4b
(cbrt.f64 x)
✓47.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
17.3b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
32.7b
1
17.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3))))
17.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))))))
32.1b
(/.f64 1 (+.f64 (+.f64 (*.f64 2/3 x) 1) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
8.4b
(/.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)))))
17.5b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
62.7b
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
✓31.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
0.9b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
41.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
18.4b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
17.8b
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (*.f64 (cbrt.f64 x) (+.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)))
17.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
Compiler

Compiled 798 to 622 computations (22.1% saved)

regimes131.0ms (2.6%)

Counts
79 → 1
Calls
Call 1
Inputs
0
1
0
0
1
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (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 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.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)))))
(log.f64 (exp.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)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.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))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.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))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (cbrt.f64 x))
(-.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 (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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) (*.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 (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 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (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))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) 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 x 1/4) (pow.f64 x 1/12))))))
(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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))))))
(/.f64 1 (+.f64 (expm1.f64 (log1p.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)) (pow.f64 (exp.f64 1/3) (log.f64 x))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
(/.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 (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 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3))))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) 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) x) (+.f64 (expm1.f64 (log1p.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 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) 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)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 3) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.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 (*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)) (pow.f64 (cbrt.f64 x) 1/6))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.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)))) (exp.f64 (log.f64 (cbrt.f64 x)))))))
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:

38.0ms
x
9.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 1246 to 866 computations (30.5% saved)

regimes74.0ms (1.4%)

Counts
43 → 1
Calls
Call 1
Inputs
0
1
0
0
1
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (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 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.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)))))
(log.f64 (exp.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)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.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))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.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))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3)) (cbrt.f64 x))
(-.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 (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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
Calls

3 calls:

34.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
22.0ms
x
5.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
17.3b1x
17.3b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
17.3b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 413 to 280 computations (32.2% saved)

regimes34.0ms (0.7%)

Counts
38 → 1
Calls
Call 1
Inputs
0
1
0
0
1
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (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 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.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)))))
(log.f64 (exp.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)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.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))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.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))
Outputs
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
Calls

2 calls:

19.0ms
x
5.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
31.8b1x
31.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 319 to 218 computations (31.7% saved)

regimes57.0ms (1.1%)

Counts
32 → 1
Calls
Call 1
Inputs
0
1
0
0
1
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (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 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.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)))))
(log.f64 (exp.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)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.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))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
Outputs
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Calls

2 calls:

43.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
31.8b1x
31.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 251 to 172 computations (31.5% saved)

regimes18.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
0
1
0
0
1
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (pow.f64 x 1/6) 2) (pow.f64 x 1/3))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2/3) (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 1/6) 2))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2) (pow.f64 x 1/3))
(-.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 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Calls

2 calls:

9.0ms
x
3.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
31.8b1x
31.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 128 to 91 computations (28.9% saved)

regimes9.0ms (0.2%)

Accuracy

Total -30.0b remaining (-91.7%)

Threshold costs -30.0b (-91.7%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
32.7b1x
Compiler

Compiled 16 to 12 computations (25% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025105
135105
239105
341105
442105
Stop Event
1×fuel
1×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)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 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)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 1 x))))))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.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))
1
0
Compiler

Compiled 74 to 58 computations (21.6% saved)

soundness0.0ms (0%)

end82.0ms (1.6%)

Compiler

Compiled 68 to 49 computations (27.9% saved)

Profiling

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