Details

Time bar (total: 8.0s)

analyze3.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (14.3%)

Results
474.0ms2091×body1024valid
430.0ms4881×body256valid
156.0ms1060×body512valid
74.0ms224×body2048valid

preprocess22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
2.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series9.0ms (0.1%)

Counts
3 → 7
Calls

9 calls:

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

rewrite67.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify85.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01952
14746
210744
327538
470937
5231237
6393437
7417237
8447137
9501037
10600737
Stop Event
node limit
Counts
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)

eval22.0ms (0.3%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune45.0ms (0.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New602181
Fresh000
Picked011
Done000
Total602282
Error
29.8b
Counts
82 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
32.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
32.1b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
31.3b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
32.3b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
31.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
31.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
32.5b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
31.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
34.1b
1
31.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
31.3b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
43.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
31.4b
(/.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))))))
31.5b
(+.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)))
31.6b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
30.5b
(/.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)))))
43.8b
(*.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)))
43.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
31.4b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
32.4b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
Compiler

Compiled 564 to 418 computations (25.9% saved)

localize59.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
1.7b
(-.f64 (+.f64 x 1) x)
Compiler

Compiled 81 to 52 computations (35.8% saved)

series6.0ms (0.1%)

Counts
3 → 16
Calls

9 calls:

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

rewrite82.0ms (1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
124732
2339731
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) x)
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (+.f64 x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)) (-.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 2/3 (log1p.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 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(sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (neg.f64 x) x))))) 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simplify90.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
2.8b
(pow.f64 x 1/3)
16.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series5.0ms (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
(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
@0
(pow.f64 x 1/3)

rewrite58.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117914
2224614
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(pow.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
2.3b
(exp.f64 (log.f64 (cbrt.f64 x)))
16.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
Compiler

Compiled 28 to 14 computations (50% saved)

series38.0ms (0.5%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
1.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
0.0ms
x
@0
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
0.0ms
x
@0
(exp.f64 (log.f64 (cbrt.f64 x)))
0.0ms
x
@-inf
(exp.f64 (log.f64 (cbrt.f64 x)))

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
850×pow1_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
792×add-log-exp_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
117314
2218214
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(exp.f64 (log.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 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 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 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 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 (E.f64) (log.f64 (cbrt.f64 x)))))) (#(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 (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 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(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 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
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
saturated
Counts
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 (0.2%)

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)
22.2b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series13.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
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
@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))

rewrite134.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify86.0ms (1.1%)

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

Useful iterations: 3 (0.0ms)

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

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.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)))
1.1b
(pow.f64 (+.f64 x 1) 1/6)
1.4b
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
2.3b
(pow.f64 x 1/6)
Compiler

Compiled 52 to 40 computations (23.1% saved)

series61.0ms (0.8%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(pow.f64 x 1/6)
21.0ms
x
@0
(pow.f64 x 1/6)
6.0ms
x
@inf
(pow.f64 x 1/6)
2.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
2.0ms
x
@-inf
(*.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)))

rewrite112.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
939×prod-diff_binary64
480×log-prod_binary64
426×fma-def_binary64
276×pow2_binary64
245×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
122835
2317235
Stop Event
node limit
Counts
4 → 308
Calls
Call 1
Inputs
(pow.f64 x 1/6)
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
(pow.f64 (+.f64 x 1) 1/6)
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (pow.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) 1 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 1/6))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (+.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 -1 (pow.f64 x 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 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x 1/6) (pow.f64 (+.f64 x 1) 1/6))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 x 1/12)) (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 x 1/12)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.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 fma.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/12) (*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/6)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/12) (*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(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 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/12) 3) (pow.f64 (+.f64 x 1) 1/12) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/12) 3) (pow.f64 (+.f64 x 1) 1/12) (*.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (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)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 1/6) (pow.f64 (+.f64 x 1) 1/6))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 1/6) (pow.f64 (+.f64 x 1) 1/6))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (hypot.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 x 1/12))) (hypot.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 x 1/12)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (pow.f64 x 1/6) (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (pow.f64 x 1/6) (pow.f64 (+.f64 x 1) 1/6)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))))

simplify85.0ms (1.1%)

Algorithm
egg-herbie
Rules
923×fma-def_binary64
714×associate-+l+_binary64
641×associate-+r+_binary64
299×fma-neg_binary64
273×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651704
15071565
215261301
367011005
Stop Event
node limit
Counts
348 → 376
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 1 (pow.f64 x 1/6))
(-.f64 (+.f64 1 (*.f64 1/6 x)) (pow.f64 x 1/6))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))) (pow.f64 x 1/6))
(-.f64 (+.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 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 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 (*.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 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6)))))
(*.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 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 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 -935/31104 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.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 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
1
(+.f64 1 (*.f64 1/6 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)))))
(*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (-.f64 1 (pow.f64 x 1/6))) (*.f64 1/6 (+.f64 1 (pow.f64 x 1/6)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -5/72 (+.f64 1 (pow.f64 x 1/6))) (+.f64 1/36 (*.f64 -5/72 (-.f64 1 (pow.f64 x 1/6))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 55/1296 (-.f64 1 (pow.f64 x 1/6))) (*.f64 55/1296 (+.f64 1 (pow.f64 x 1/6)))) 5/216) (pow.f64 x 3)) (*.f64 (+.f64 1 (pow.f64 x 1/6)) (-.f64 1 (pow.f64 x 1/6))))))
(*.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 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))))
(+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (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 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))))))
(+.f64 (*.f64 55/3888 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)) (+.f64 (*.f64 25/5184 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 1/36 (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 -5/216 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -935/15552 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/3)))))))))
(*.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 (*.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 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(+.f64 (*.f64 -1 (/.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 (*.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 (*.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 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 25/5184 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.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 (*.f64 -935/15552 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.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 (*.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 55/3888 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))))))
Outputs
(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))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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1
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(fma.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) -1/9 (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) 5/81) (pow.f64 x 3))))
(+.f64 (*.f64 25/5184 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.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 (*.f64 -935/15552 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (+.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 (*.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 55/3888 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))))))
(fma.f64 25/5184 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (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)) (fma.f64 -935/15552 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (fma.f64 -5/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 1/36 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 55/3888 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (pow.f64 x 4)) (*.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 25/5184 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 4)) (-.f64 (fma.f64 -935/15552 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 4)) (+.f64 (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 55/3888 (/.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 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) (/.f64 (pow.f64 x 3) -5/81))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) 5/81) (pow.f64 x 3)) (fma.f64 25/5184 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (pow.f64 x 4)) (+.f64 (fma.f64 55/3888 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (+.f64 1/3 (/.f64 1/36 x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) (+.f64 -5/36 (/.f64 (/.f64 -935/15552 x) x))))))
(+.f64 (fma.f64 55/3888 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (/.f64 1/36 x)))) (fma.f64 25/5184 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (fma.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) (+.f64 -5/36 (/.f64 (/.f64 -935/15552 x) x)) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) 5/81) (pow.f64 x 3)))))

eval652.0ms (8.1%)

Compiler

Compiled 26673 to 19341 computations (27.5% saved)

prune150.0ms (1.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New992131005
Fresh13316
Picked101
Done325
Total1009181027
Error
0.4b
Counts
1027 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
46.4b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
30.5b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
61.0b
(cbrt.f64 x)
30.5b
(/.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)))))
32.1b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
31.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
34.1b
1
44.7b
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
31.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
47.2b
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
31.4b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
43.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
45.3b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
46.4b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
43.7b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
43.1b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Compiler

Compiled 433 to 327 computations (24.5% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 47 computations (34.7% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
Compiler

Compiled 4 to 2 computations (50% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.4b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
1.4b
(pow.f64 (+.f64 x 1) 1/3)
2.8b
(pow.f64 x 1/3)
Compiler

Compiled 24 to 18 computations (25% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite61.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118617
2229317
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (+.f64 x 1) 1/3)
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
Outputs
((#(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 (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 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.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)))))))

simplify84.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01953
14747
210745
328139
472138
5231638
6391538
7415338
8445338
9499238
10598938
Stop Event
node limit
Counts
60 → 60
Calls
Call 1
Inputs
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))))
1
(+.f64 1 (*.f64 1/3 x))
0
0
Outputs
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 x (*.f64 x -1/9) (fma.f64 1/3 x 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 5/81 (pow.f64 x 3) (fma.f64 x (fma.f64 x -1/9 1/3) 1))
(fma.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 5/81 -1/9))) 1)
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
0

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
2.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series15.0ms (0.2%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)

rewrite70.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
918×pow1_binary64
860×add-log-exp_binary64
860×log1p-expm1-u_binary64
860×expm1-log1p-u_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
121411
2243011
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 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)) (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 (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 (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 (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 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (*.f64 (cbrt.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 (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 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4) (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4) (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 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/4))))) (#(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 (*.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(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 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)))))))

simplify7.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
068
1106
2126
Stop Event
saturated
Counts
41 → 42
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
1.7b
(-.f64 (+.f64 x 1) x)
15.6b
(cbrt.f64 (pow.f64 (+.f64 x 1) 2))
Compiler

Compiled 86 to 56 computations (34.9% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite44.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify87.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

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

eval268.0ms (3.3%)

Compiler

Compiled 14032 to 9528 computations (32.1% saved)

prune120.0ms (1.5%)

Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New59222614
Fresh2911
Picked101
Done066
Total59537632
Error
0.2b
Counts
632 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
15.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
61.0b
(cbrt.f64 x)
46.4b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
31.4b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
16.9b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.1b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
31.6b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
43.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
21.5b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 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)))
31.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
16.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
28.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
45.3b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
44.8b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
15.7b
(/.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)))))
45.5b
(-.f64 1 (pow.f64 x 1/3))
15.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)))))
34.1b
1
44.7b
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
31.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
46.4b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
16.7b
(/.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)))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
43.7b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
16.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.7b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
7.5b
(/.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)))))
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)))))
47.2b
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
42.0b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
Compiler

Compiled 1249 to 947 computations (24.2% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 111 to 71 computations (36% saved)

series35.0ms (0.4%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@0
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
9.0ms
x
@inf
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
8.0ms
x
@0
(cbrt.f64 (cbrt.f64 x))
4.0ms
x
@-inf
(cbrt.f64 (pow.f64 (cbrt.f64 x) 2))
2.0ms
x
@-inf
(cbrt.f64 (cbrt.f64 x))

rewrite102.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify119.0ms (1.5%)

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

Useful iterations: 4 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.8b
(pow.f64 x 1/3)
Compiler

Compiled 12 to 9 computations (25% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)
0.3b
(/.f64 1 (pow.f64 x 5))
23.2b
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
27.8b
(cbrt.f64 (/.f64 (/.f64 1 x) x))
Compiler

Compiled 58 to 45 computations (22.4% saved)

series32.0ms (0.4%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(/.f64 1 (pow.f64 x 5))
1.0ms
x
@-inf
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)
1.0ms
x
@0
(/.f64 1 (pow.f64 x 5))
1.0ms
x
@inf
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)
1.0ms
x
@-inf
(/.f64 1 (pow.f64 x 5))

rewrite76.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
479×log-prod_binary64
371×exp-prod_binary64
273×pow2_binary64
259×pow-prod-down_binary64
204×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
125525
2292925
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (/.f64 1 x) x))
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
(/.f64 1 (pow.f64 x 5))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))) 2)) (cbrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)))) (sqrt.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)) (cbrt.f64 (cbrt.f64 (pow.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -10))) (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/6) (pow.f64 x -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -5/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 15) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -10) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -15) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -5/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -10/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5/2) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -5/3 (log.f64 x))) 2)) (cbrt.f64 (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -5/3 (log.f64 x)))) (sqrt.f64 (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -5/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -5/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) -5) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) -1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -5) (cbrt.f64 (pow.f64 x -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -10)) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -10) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -10)) 1) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -10)) (cbrt.f64 (cbrt.f64 (pow.f64 x -10)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -5) 5/6) (pow.f64 x -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -5) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 10) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 15) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -10) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -15) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -5/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -5/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 5) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -15)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -5) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 x 5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -5 (log.f64 x))) 2)) (cbrt.f64 (*.f64 -5 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -5 (log.f64 x)))) (sqrt.f64 (*.f64 -5 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -15))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -15)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 5 (log.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 x -5/2)) (*.f64 (log.f64 x) 5/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (cbrt.f64 (pow.f64 x -10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/9) (pow.f64 x -5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))) (sqrt.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (cbrt.f64 (pow.f64 x -10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/9) (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/9) (pow.f64 x -5/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 -1/9) (*.f64 -5/3 (log.f64 x))) 1) 1))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
198 → 198
Calls
Call 1
Inputs
Outputs

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.3b
(*.f64 (log1p.f64 x) 1/3)
0.6b
(cbrt.f64 x)
1.1b
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
Compiler

Compiled 88 to 54 computations (38.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
1.0ms
x
@inf
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
0.0ms
x
@0
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
0.0ms
x
@-inf
(*.f64 (log1p.f64 x) 1/3)
0.0ms
x
@inf
(*.f64 (log1p.f64 x) 1/3)

rewrite54.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
477×pow1_binary64
463×add-sqr-sqrt_binary64
453×*-un-lft-identity_binary64
441×add-log-exp_binary64
441×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
111512
2125312
Stop Event
node limit
Counts
2 → 34
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(*.f64 (log1p.f64 x) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (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 pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log1p.f64 x))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)) 2)) (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/3))) (sqrt.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x 1) 1/6)) (log.f64 (pow.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 x) 1/3)))))))

simplify62.0ms (0.8%)

Algorithm
egg-herbie
Rules
591×unswap-sqr_binary64
464×fma-neg_binary64
431×associate-*l*_binary64
390×fma-def_binary64
361×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
092544
1263523
2703468
32002386
46496366
Stop Event
node limit
Counts
58 → 75
Calls
Call 1
Inputs
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 -1/9 (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 5/81 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3)))))
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 5/81 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(*.f64 1/3 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 -1/3 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/3 (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/3 (log.f64 (/.f64 1 x))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
Outputs
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 -1/9 (*.f64 x 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 -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)))
(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 -1/9 (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 -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 5/81 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 -1/9 (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))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))))))
(+.f64 (cbrt.f64 x) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))))))
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (cbrt.f64 x)) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))))
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(cbrt.f64 x)
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 (exp.f64 (log.f64 x))))
(*.f64 (+.f64 (/.f64 1/3 x) 1) (cbrt.f64 x))
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))))
(+.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (+.f64 1/3 (/.f64 -1/9 x))))
(+.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 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (/.f64 -1/9 x))))
(+.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 5/81 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/9 (/.f64 (exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 5/81 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))))
(+.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 -1/9 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 5/81 (/.f64 (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))))))
(+.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 5/81 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (+.f64 1/3 (/.f64 -1/9 x)))))
(+.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x)))))
(+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x)))))
(*.f64 1/3 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/3 x))
(fma.f64 -1/6 (*.f64 x x) (*.f64 1/3 x))
(fma.f64 (*.f64 x x) -1/6 (*.f64 1/3 x))
(*.f64 x (+.f64 (*.f64 x -1/6) 1/3))
(*.f64 x (+.f64 1/3 (*.f64 x -1/6)))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 (*.f64 x x) -1/6 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 (pow.f64 x 3) 1/9 (*.f64 x (+.f64 (*.f64 x -1/6) 1/3)))
(*.f64 x (+.f64 1/3 (*.f64 x (+.f64 -1/6 (*.f64 x 1/9)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 1/3 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/3 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (*.f64 x x) -1/6 (fma.f64 1/3 x (fma.f64 (pow.f64 x 3) 1/9 (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/3 x (fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 3) 1/9 (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/3 x (*.f64 (*.f64 x x) (+.f64 -1/6 (*.f64 x (+.f64 1/9 (*.f64 x -1/12))))))
(*.f64 -1/3 (log.f64 (/.f64 1 x)))
(*.f64 -1/3 (neg.f64 (log.f64 x)))
(*.f64 1/3 (log.f64 x))
(+.f64 (*.f64 -1/3 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x)))
(fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x))
(+.f64 (*.f64 1/3 (log.f64 x)) (/.f64 1/3 x))
(fma.f64 1/3 (log.f64 x) (/.f64 1/3 x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/3 (log.f64 (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/6 (*.f64 x x)))
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x)))
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x))))
(+.f64 (/.f64 1/3 x) (fma.f64 1/3 (log.f64 x) (/.f64 -1/6 (*.f64 x x))))
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/3 (log.f64 (/.f64 1 x))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (-.f64 (+.f64 (*.f64 -1/3 (neg.f64 (log.f64 x))) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x))))
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/6 x) x)))
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x)))))
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/6 (*.f64 x x))))
(*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 -1/3 (neg.f64 (log.f64 x)))
(*.f64 1/3 (log.f64 x))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x))
(+.f64 (*.f64 1/3 (log.f64 x)) (/.f64 1/3 x))
(fma.f64 1/3 (log.f64 x) (/.f64 1/3 x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/6 (*.f64 x x)))
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x)))
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x))))
(+.f64 (/.f64 1/3 x) (fma.f64 1/3 (log.f64 x) (/.f64 -1/6 (*.f64 x x))))
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (/.f64 -1/6 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 x) (-.f64 (+.f64 (*.f64 -1/3 (neg.f64 (log.f64 x))) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x))))
(+.f64 (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 1/3 x) (/.f64 (/.f64 1/6 x) x)))
(+.f64 (*.f64 1/3 (log.f64 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (/.f64 -1/6 (*.f64 x x)))))
(+.f64 (fma.f64 1/3 (log.f64 x) (/.f64 1/3 x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/6 (*.f64 x x))))

localize115.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiled 103 to 68 computations (34% saved)

series28.0ms (0.3%)

Counts
3 → 4
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))
1.0ms
x
@inf
(cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))

rewrite82.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
799×prod-diff_binary64
451×log-prod_binary64
394×fma-def_binary64
365×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
123850
2280750
Stop Event
node limit
Counts
3 → 145
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)
(cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> 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simplify107.0ms (1.3%)

Algorithm
egg-herbie
Rules
1101×fma-def_binary64
671×sqr-pow_binary64
446×unswap-sqr_binary64
352×distribute-rgt-in_binary64
347×cube-prod_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02363
16554
214254
331552
490040
5167740
6253140
7347540
8383040
9438340
10503340
11597840
12728340
Stop Event
node limit
Counts
149 → 110
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))) x) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(pow.f64 x 1/9)
(+.f64 (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/9)) (pow.f64 x 1/9))
Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))) x) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 x 1/3)))
(fma.f64 (*.f64 (*.f64 1 (cbrt.f64 x)) 1/3) x (*.f64 1 (cbrt.f64 x)))
(fma.f64 x (*.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 x 1/3)))
(*.f64 (cbrt.f64 x) (fma.f64 x 1/3 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 (pow.f64 x 1/288) 32)
(+.f64 (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 x 10)) 1/9)) (pow.f64 x 1/9))
(fma.f64 1/9 (*.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/36) 4) (pow.f64 (pow.f64 x 1/36) 4))
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/72) 8) (pow.f64 (pow.f64 x 1/36) 4))
(fma.f64 1/9 (pow.f64 (pow.f64 (pow.f64 x 10) 1/72) 8) (pow.f64 (pow.f64 x 1/288) 32))

eval523.0ms (6.5%)

Compiler

Compiled 15449 to 11028 computations (28.6% saved)

prune136.0ms (1.7%)

Pruning

51 alts after pruning (44 fresh and 7 done)

PrunedKeptTotal
New61027637
Fresh91726
Picked011
Done4610
Total62351674
Error
0.0b
Counts
674 → 51
Alt Table
Click to see full alt table
StatusErrorProgram
16.8b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
33.2b
(fma.f64 1/3 (pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
3.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
33.2b
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
15.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
61.0b
(cbrt.f64 x)
46.4b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
30.7b
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
16.9b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.1b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
47.7b
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
31.6b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
1.1b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3) 3)))
42.0b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
43.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
21.5b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
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)))
31.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
54.5b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
30.7b
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
30.7b
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
44.8b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
0.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)) 3)))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))
47.6b
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
17.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
28.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
27.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
7.3b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))
34.1b
1
44.7b
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
31.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
46.4b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
15.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
30.7b
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
53.7b
(fma.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
31.1b
(fma.f64 1/3 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
45.1b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
0.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 x))) 3)))
43.7b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
0.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))
33.1b
(-.f64 1 (cbrt.f64 x))
16.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
0.7b
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
28.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 x)))
31.4b
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
15.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)))))
Compiler

Compiled 930 to 726 computations (21.9% saved)

regimes113.0ms (1.4%)

Counts
84 → 1
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 x 1/3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
(fma.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.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 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
(fma.f64 1/3 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (E.f64) (log.f64 (pow.f64 (cbrt.f64 x) -2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 x))) 3)))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.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 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))
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:

51.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 1470 to 1024 computations (30.3% saved)

regimes116.0ms (1.5%)

Counts
43 → 2
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

80.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
9.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
1.5b2x
0.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 504 to 363 computations (28% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6830093702301383e-9
3.1504896469414234e-9
Compiler

Compiled 12 to 9 computations (25% saved)

regimes114.0ms (1.4%)

Counts
42 → 2
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Calls

3 calls:

45.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
42.0ms
x
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
1.5b2x
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 485 to 350 computations (27.8% saved)

bsearch3.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
2.0ms
8.39422209537588e-5
0.0010925736804665576
Compiler

Compiled 12 to 9 computations (25% saved)

regimes123.0ms (1.5%)

Counts
40 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
(fma.f64 1/3 (exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1/3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
Outputs
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))
Calls

3 calls:

86.0ms
x
14.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.7b3x
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 449 to 324 computations (27.8% saved)

bsearch40.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1386709208860.7458
62060321674733000.0
18.0ms
-5329.454564788931
-1.3780780901103235e-17
Compiler

Compiled 12 to 9 computations (25% saved)

regimes108.0ms (1.3%)

Counts
37 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Outputs
(fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Calls

3 calls:

76.0ms
x
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.7b3x
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 398 to 289 computations (27.4% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
255.6737590581196
250234.1431075855
17.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes113.0ms (1.4%)

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

3 calls:

53.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.7b3x
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 382 to 276 computations (27.7% saved)

bsearch52.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
255.6737590581196
250234.1431075855
36.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes155.0ms (1.9%)

Counts
35 → 2
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Outputs
(fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Calls

3 calls:

60.0ms
x
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.7b3x
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.7b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 366 to 263 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.39422209537588e-5
0.0010925736804665576
Compiler

Compiled 12 to 9 computations (25% saved)

regimes140.0ms (1.7%)

Counts
34 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

109.0ms
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
7.9b3x
15.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 352 to 252 computations (28.4% saved)

bsearch65.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
1386709208860.7458
62060321674733000.0
16.0ms
-5329.454564788931
-1.3780780901103235e-17
Compiler

Compiled 12 to 9 computations (25% saved)

regimes163.0ms (2%)

Counts
33 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (cbrt.f64 x)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(*.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)))
Outputs
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

82.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
63.0ms
x
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.1b3x
15.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 330 to 238 computations (27.9% saved)

bsearch36.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
40954943.76985199
291547413350.2737
16.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes124.0ms (1.5%)

Counts
29 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(-.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))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x -2/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(-.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
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

58.0ms
x
49.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.2b3x
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 265 to 189 computations (28.7% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
40954943.76985199
291547413350.2737
16.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes59.0ms (0.7%)

Counts
17 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.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) (cbrt.f64 x)))
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (pow.f64 x -5/3) -1/9))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
Outputs
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

42.0ms
x
6.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.2b3x
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 139 to 102 computations (26.6% saved)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
40954943.76985199
291547413350.2737
16.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes76.0ms (0.9%)

Counts
12 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
Outputs
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
Calls

3 calls:

48.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
20.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
15.5b3x
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 90 to 67 computations (25.6% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
40954943.76985199
291547413350.2737
15.0ms
-1671114779168.299
-5329.454564788931
Compiler

Compiled 12 to 9 computations (25% saved)

regimes53.0ms (0.7%)

Counts
8 → 3
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
Outputs
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
Calls

1 calls:

51.0ms
x
Results
ErrorSegmentsBranch
16.3b3x
Compiler

Compiled 41 to 30 computations (26.8% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.4213765771501462
255.6737590581196
16.0ms
-5329.454564788931
-1.3780780901103235e-17
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
(-.f64 1 (cbrt.f64 x))
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
Outputs
(-.f64 1 (cbrt.f64 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
33.1b1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -28.2b remaining (-82.8%)

Threshold costs -28.2b (-82.8%)

Counts
3 → 1
Calls
Call 1
Inputs
0
1
(cbrt.f64 x)
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
34.1b1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify36.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01018589935207
11198589935207
21268589935207
31298589935207
41308589935207
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 7773025877344475136/18446744073709551616) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(-.f64 1 (cbrt.f64 x))
1
0
Outputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7253554917687775/2417851639229258349412352) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 8995720672051261/35184372088832) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 7378697629483821/73786976294838206464) (fma.f64 1/3 (pow.f64 (cbrt.f64 x) -2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (+.f64 x 1) 2/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -5859797263689311/1099511627776) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5679960919493615/4096) (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (+.f64 1 x) 2/3))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5))) (if (<=.f64 x 5496879503157289/134217728) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 175900144101033248/4294967296) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -6844886135473353/4096) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 5496879503157289/134217728) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 7773025877344475136/18446744073709551616) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -5859797263689311/1099511627776) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 3795422791672107/9007199254740992) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(-.f64 1 (cbrt.f64 x))
1
0
Compiler

Compiled 529 to 401 computations (24.2% saved)

soundness91.0ms (1.1%)

Algorithm
egg-herbie
Rules
923×fma-def_binary64
714×associate-+l+_binary64
641×associate-+r+_binary64
299×fma-neg_binary64
273×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651704
15071565
215261301
367011005
Stop Event
node limit
Compiler

Compiled 228 to 202 computations (11.4% saved)

end356.0ms (4.4%)

Compiler

Compiled 514 to 362 computations (29.6% saved)

Profiling

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