Details

Time bar (total: 9.9s)

analyze5.0ms (0.1%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (13.4%)

Results
531.0ms2058×body1024valid
507.0ms4987×body256valid
193.0ms992×body512valid
69.0ms219×body2048valid

preprocess23.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
29.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize41.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (+.f64 x 1))
✓0.6b
(cbrt.f64 x)
✓3.8b
(-.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))
0.0ms
x
@-inf
(cbrt.f64 x)
0.0ms
x
@inf
(cbrt.f64 x)

rewrite65.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify88.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

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

eval26.0ms (0.3%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune35.0ms (0.3%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New562581
Fresh000
Picked011
Done000
Total562682
Error
27.1b
Counts
82 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
29.1b
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
32.0b
1
29.3b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
29.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))
▶29.2b
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
46.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
▶29.2b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
31.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
29.2b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
✓29.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
▶29.8b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
29.1b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
▶27.9b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
31.1b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
29.3b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
29.3b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
46.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
61.7b
0
30.6b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
29.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
29.0b
(/.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))))))
29.4b
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
31.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
46.3b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
▶33.2b
(+.f64 1 (*.f64 1/3 x))
Compiler

Compiled 638 to 484 computations (24.1% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 81 to 52 computations (35.8% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite58.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify92.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01951
15049
210849
329943
476040
5234440
6398140
7420940
8450840
9504740
10604440
Stop Event
1×node limit
Counts
77 → 68
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 1/3 x))
✓0.3b
(*.f64 1/3 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
544×add-log-exp_binary64
544×log1p-expm1-u_binary64
544×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11239
214729
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 1 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 x))) (/.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 1/3 x) (-.f64 (*.f64 1/3 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/9)) (/.f64 1 (+.f64 1 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 1/3 x) (-.f64 (*.f64 1/3 x) 1))) (+.f64 1 (*.f64 (pow.f64 x 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -1/3 x)) (-.f64 1 (*.f64 (*.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 1 (*.f64 (*.f64 1/3 x) (-.f64 (*.f64 1/3 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/9)) (+.f64 1 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 1 (*.f64 (*.f64 1/3 x) (-.f64 (*.f64 1/3 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/9))) (neg.f64 (+.f64 1 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) 1) (-.f64 (*.f64 1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) 1)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
189
Stop Event
1×saturated
Counts
46 → 45
Calls
Call 1
Inputs
1
(*.f64 1/3 x)
(*.f64 1/3 x)
Outputs
1
(*.f64 1/3 x)
(*.f64 1/3 x)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓2.8b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
3.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite73.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify59.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
3.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series19.0ms (0.2%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
2.0ms
x
@-inf
(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
1.0ms
x
@0
(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)

rewrite63.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
936×pow1_binary64
879×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
857×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
119714
2242814
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (cbrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (-.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) (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3/2) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) 3) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) 1) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (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 (-.f64 (+.f64 x 1) x) 3) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) 3) (pow.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 x 1) x) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)) (+.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 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (-.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 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2) (-.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 sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
Stop Event
1×saturated
Counts
29 → 29
Calls
Call 1
Inputs
1
(+.f64 1 x)
Outputs
1
(+.f64 1 x)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (+.f64 x -1))
0.6b
(cbrt.f64 x)
✓13.7b
(cbrt.f64 (fma.f64 x x -1))
✓18.3b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
Compiler

Compiled 44 to 28 computations (36.4% saved)

series9.0ms (0.1%)

Counts
3 → 11
Calls

9 calls:

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

rewrite104.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121624
2299324
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(cbrt.f64 (fma.f64 x x -1))
(cbrt.f64 (+.f64 x -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.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 *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) (*.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 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 log.f64 (+.f64 1 (expm1.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 (log.f64 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) 1))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
733×fma-def_binary64
717×associate-/r*_binary64
537×unswap-sqr_binary64
429×associate-*l/_binary64
339×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060260
1163245
2441238
31760218
46275218
Stop Event
1×node limit
Counts
194 → 200
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(cbrt.f64 -1)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1)))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 8)) (pow.f64 x 6) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1))))
(cbrt.f64 -1)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/9 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (*.f64 x x) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1)))
(fma.f64 x (fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 x -1/9))) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -2/9)) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (*.f64 x x) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))))
(fma.f64 x (fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 x -1/9))) (fma.f64 (/.f64 -5/81 (cbrt.f64 -1)) (pow.f64 x 3) (cbrt.f64 -1)))

eval357.0ms (3.6%)

Compiler

Compiled 12888 to 8849 computations (31.3% saved)

prune323.0ms (3.3%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New63516651
Fresh11920
Picked011
Done235
Total64829677
Error
0.4b
Counts
677 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
46.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
31.1b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
33.6b
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
29.2b
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
46.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
✓29.2b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
▶33.0b
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
31.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
▶46.3b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
31.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
✓29.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
27.8b
(/.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)))))
✓29.8b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
29.7b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
27.9b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
▶0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
▶31.1b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
61.7b
0
▶46.7b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
30.6b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
29.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
29.2b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
29.2b
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
32.0b
1
✓33.2b
(+.f64 1 (*.f64 1/3 x))
29.3b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
31.4b
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
46.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
Compiler

Compiled 670 to 527 computations (21.3% saved)

localize89.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 47 computations (34.7% saved)

series8.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
2.0ms
x
@0
(*.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)))

rewrite92.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 1/9)
✓28.1b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) 1/9)
1.0ms
x
@inf
(*.f64 (*.f64 x x) 1/9)
1.0ms
x
@0
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) 1/9)
0.0ms
x
@inf
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))

rewrite169.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
492×add-sqr-sqrt_binary64
475×add-log-exp_binary64
475×log1p-expm1-u_binary64
475×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112411
2139611
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (*.f64 x x) 1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/9)))))))

simplify212.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1101×sqr-pow_binary64
582×associate-*l*_binary64
565×cube-prod_binary64
557×fabs-mul_binary64
528×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010132
118132
229132
358132
4138132
5442132
61604132
72497132
82661132
92874132
103094132
113397132
123799132
134292132
144860132
155550132
166383132
176773132
187057132
197333132
207409132
217443132
Stop Event
1×node limit
Counts
62 → 42
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log1p.f64 x) 1/3)
0.6b
(cbrt.f64 x)
✓0.9b
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
✓14.2b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series9.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
2.0ms
x
@-inf
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
1.0ms
x
@-inf
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
1.0ms
x
@0
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
1.0ms
x
@inf
(exp.f64 (*.f64 (log1p.f64 x) 1/3))

rewrite112.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
802×pow1_binary64
747×add-log-exp_binary64
747×expm1-log1p-u_binary64
746×log1p-expm1-u_binary64
729×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
116423
2205823
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(*.f64 (log1p.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 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 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 (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 (+.f64 x 1) 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 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 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 0 (*.f64 (log1p.f64 x) 1/3))))) (#(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 (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 (+.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)))))))

simplify84.0ms (0.8%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
092558
1263535
2703480
31998398
46490378
Stop Event
1×node limit
Counts
97 → 110
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(pow.f64 x 1/3)
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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)
(pow.f64 x 1/3)
(cbrt.f64 x)
(exp.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(cbrt.f64 x)
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(fma.f64 x (*.f64 x -1/9) (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)))
(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 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.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))))
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (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 1/3 x (*.f64 x (*.f64 x -1/6)))
(*.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 1/3 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) -1/6)))
(*.f64 x (+.f64 (*.f64 x (+.f64 -1/6 (*.f64 x 1/9))) 1/3))
(+.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)))))
(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 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 3) 1/9 (fma.f64 -1/12 (pow.f64 x 4) (*.f64 1/3 x))))
(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 (/.f64 1/3 x) (fma.f64 -1/3 (neg.f64 (log.f64 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 (+.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 (/.f64 1/3 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 -1/6 (*.f64 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 (/.f64 1/3 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (fma.f64 1/3 (log.f64 x) (/.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 (/.f64 1/3 x) (fma.f64 -1/3 (neg.f64 (log.f64 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 (+.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 (/.f64 1/3 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (fma.f64 -1/3 (neg.f64 (log.f64 x)) (/.f64 -1/6 (*.f64 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 (/.f64 1/3 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (fma.f64 1/3 (log.f64 x) (/.f64 -1/6 (*.f64 x x)))))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
✓2.5b
(pow.f64 x 1/3)
✓3.2b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
✓14.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 41 to 31 computations (24.4% saved)

series8.0ms (0.1%)

Counts
3 → 8
Calls

9 calls:

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

rewrite94.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
939×pow1_binary64
881×log1p-expm1-u_binary64
881×expm1-log1p-u_binary64
880×add-log-exp_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
120125
2244325
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(log.f64 (exp.f64 (-.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 0 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 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x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (/.f64 x (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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 log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
11016
21216
Stop Event
1×saturated
Counts
104 → 63
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
0
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
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0
0

localize27.0ms (0.3%)

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)))
✓1.0b
(pow.f64 (+.f64 x 1) 1/6)
✓1.6b
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
✓2.1b
(pow.f64 x 1/6)
Compiler

Compiled 52 to 40 computations (23.1% saved)

series69.0ms (0.7%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@0
(pow.f64 x 1/6)
19.0ms
x
@-inf
(pow.f64 x 1/6)
13.0ms
x
@inf
(pow.f64 x 1/6)
8.0ms
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)))
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)))

rewrite106.0ms (1.1%)

Algorithm
1×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
1×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (pow.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 1))))))
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simplify80.0ms (0.8%)

Algorithm
1×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
1×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))))
(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))))
(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))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))
(pow.f64 (exp.f64 1/6) (log.f64 x))
(-.f64 1 (pow.f64 x 1/6))
(-.f64 (+.f64 1 (*.f64 1/6 x)) (pow.f64 x 1/6))
(-.f64 (fma.f64 1/6 x 1) (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 1 (-.f64 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))) (pow.f64 x 1/6)))
(+.f64 1 (-.f64 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x)) (pow.f64 x 1/6)))
(-.f64 (fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1)) (pow.f64 x 1/6))
(fma.f64 x (+.f64 1/6 (*.f64 x -5/72)) (-.f64 1 (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 (fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))) (pow.f64 x 1/6))
(+.f64 (fma.f64 55/1296 (pow.f64 x 3) 1) (-.f64 (fma.f64 -5/72 (*.f64 x x) (*.f64 1/6 x)) (pow.f64 x 1/6)))
(-.f64 (fma.f64 55/1296 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 x (*.f64 x -5/72) 1))) (pow.f64 x 1/6))
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x (+.f64 1/6 (*.f64 x -5/72)) (-.f64 1 (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)))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))
(+.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))))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))))
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6))))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 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)))))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (*.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6)))))
(fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.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)))))
(fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (fma.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6) (fma.f64 -935/31104 (pow.f64 (/.f64 1 (pow.f64 x 23)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))
(*.f64 (/.f64 1/6 x) (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)))
(*.f64 (/.f64 1/6 x) (pow.f64 (exp.f64 1/6) (log.f64 x)))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 -5/72 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) x) (+.f64 1/6 (/.f64 -5/72 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 1/6) (log.f64 x)) x) (+.f64 1/6 (/.f64 -5/72 x)))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 55/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
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1
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(+.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))))))
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81))))
(fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81))
(+.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)))))))))
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 25/5184 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552)))))))
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 -5/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 1/36 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552)))))))
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552))))))
(fma.f64 55/3888 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) 25/5184 (+.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -935/15552)))))
(*.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 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x))
(*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x))
(*.f64 (/.f64 1/3 x) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 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))))
(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 -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)) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -1/9))
(fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) -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 (*.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)))))
(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 -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)) (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.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)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) (*.f64 x x)) -1/9 (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) x) (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6)) 2) 5/81) (pow.f64 x 3))))
(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)))))

eval1.2s (12.5%)

Compiler

Compiled 20524 to 15297 computations (25.5% saved)

prune206.0ms (2.1%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New80025825
Fresh15520
Picked101
Done538
Total82133854
Error
0.2b
Counts
854 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
16.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
31.1b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
33.6b
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 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)))
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)))))
46.1b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
45.6b
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
▶0.6b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.6b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
✓29.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
31.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
7.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
▶49.9b
(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))))
61.0b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
7.7b
(/.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)))))
19.8b
(/.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)))))
2.2b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
33.0b
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
▶29.7b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
13.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
49.1b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
61.7b
0
13.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
13.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
29.1b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
▶29.2b
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
32.0b
1
✓33.2b
(+.f64 1 (*.f64 1/3 x))
17.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
▶33.1b
(+.f64 1 (*.f64 x -1/3))
13.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
Compiler

Compiled 1100 to 844 computations (23.3% saved)

localize112.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiled 130 to 95 computations (26.9% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
646×pow1_binary64
604×add-log-exp_binary64
604×log1p-expm1-u_binary64
604×expm1-log1p-u_binary64
589×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116219
2178519
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2))))) (#(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 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2)))))) (#(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 (+.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 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/2)))) (#(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 fabs.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(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 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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (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))) 4)) (pow.f64 (cbrt.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 (cbrt.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) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.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 sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1/3)))))))

simplify186.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
631×associate-/r*_binary64
500×associate-*l/_binary64
497×fma-def_binary64
426×*-commutative_binary64
351×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141038
1320953
2902865
33242668
Stop Event
1×node limit
Counts
61 → 82
Calls
Call 1
Inputs
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)))))))
1
(+.f64 1 (*.f64 2/9 x))
(+.f64 1 (+.f64 (*.f64 -7/81 (pow.f64 x 2)) (*.f64 2/9 x)))
(+.f64 1 (+.f64 (*.f64 112/2187 (pow.f64 x 3)) (+.f64 (*.f64 -7/81 (pow.f64 x 2)) (*.f64 2/9 x))))
(pow.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))
(+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 -8/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))))
(+.f64 (*.f64 136/2187 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9)) (+.f64 (*.f64 -8/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 -8/729 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 -1 (/.f64 (+.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))) (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2)))))))
Outputs
1
(+.f64 1 (*.f64 1/9 x))
(fma.f64 1/9 x 1)
(+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x)))
(fma.f64 -4/81 (*.f64 x x) (+.f64 1 (*.f64 1/9 x)))
(fma.f64 -4/81 (*.f64 x x) (fma.f64 1/9 x 1))
(fma.f64 1/9 x (fma.f64 x (*.f64 x -4/81) 1))
(fma.f64 x (*.f64 x -4/81) (fma.f64 1/9 x 1))
(+.f64 (*.f64 68/2187 (pow.f64 x 3)) (+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x))))
(fma.f64 68/2187 (pow.f64 x 3) (fma.f64 -4/81 (*.f64 x x) (+.f64 1 (*.f64 1/9 x))))
(fma.f64 68/2187 (pow.f64 x 3) (fma.f64 -4/81 (*.f64 x x) (fma.f64 1/9 x 1)))
(fma.f64 x (*.f64 x -4/81) (fma.f64 68/2187 (pow.f64 x 3) (fma.f64 1/9 x 1)))
(fma.f64 68/2187 (pow.f64 x 3) (fma.f64 x (*.f64 x -4/81) (fma.f64 1/9 x 1)))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))
(fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(+.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 (pow.f64 x 1/18) (pow.f64 x 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)))))
(fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))
(fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))
(+.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)))))
(fma.f64 68/2187 (*.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 x 1/18) (pow.f64 x 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(pow.f64 (exp.f64 1/9) (log.f64 x))
(+.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)))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (/.f64 1/9 x) 1) (pow.f64 (exp.f64 1/9) (log.f64 x)))
(+.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))))))
(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) (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) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (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 (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))))
(+.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 (pow.f64 (exp.f64 1/9) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 (/.f64 -4/81 x) (+.f64 1/9 (/.f64 68/2187 (*.f64 x x))))))
1
(+.f64 1 (*.f64 2/9 x))
(+.f64 1 (*.f64 x 2/9))
(fma.f64 x 2/9 1)
(+.f64 1 (+.f64 (*.f64 -7/81 (pow.f64 x 2)) (*.f64 2/9 x)))
(+.f64 1 (fma.f64 -7/81 (*.f64 x x) (*.f64 x 2/9)))
(+.f64 1 (fma.f64 x 2/9 (*.f64 x (*.f64 x -7/81))))
(fma.f64 x 2/9 (fma.f64 x (*.f64 x -7/81) 1))
(+.f64 1 (+.f64 (*.f64 112/2187 (pow.f64 x 3)) (+.f64 (*.f64 -7/81 (pow.f64 x 2)) (*.f64 2/9 x))))
(+.f64 1 (fma.f64 112/2187 (pow.f64 x 3) (fma.f64 -7/81 (*.f64 x x) (*.f64 x 2/9))))
(+.f64 1 (fma.f64 (pow.f64 x 3) 112/2187 (fma.f64 x 2/9 (*.f64 x (*.f64 x -7/81)))))
(fma.f64 (pow.f64 x 3) 112/2187 (fma.f64 x 2/9 (fma.f64 x (*.f64 x -7/81) 1)))
(pow.f64 (pow.f64 x 2) 1/9)
(*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))
(+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))
(fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)))
(+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 -8/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))))
(fma.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) (fma.f64 -8/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)))))
(+.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) -7/81))
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) -7/81 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))
(+.f64 (*.f64 136/2187 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9)) (+.f64 (*.f64 -8/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9)) (+.f64 (*.f64 -8/729 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)) (pow.f64 (pow.f64 x 2) 1/9))))))
(fma.f64 136/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) (fma.f64 -8/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) (fma.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) (fma.f64 -8/729 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)))))))
(fma.f64 136/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) (+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) -8/729 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) -7/81)))
(fma.f64 136/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) -7/81 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) -8/729 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))))
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)) -7/81 (+.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) 112/2187)))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9))
(exp.f64 (*.f64 2/9 (log.f64 x)))
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(fma.f64 2/9 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)) x) (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)))
(*.f64 (+.f64 (/.f64 2/9 x) 1) (exp.f64 (*.f64 2/9 (log.f64 x))))
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) -7/81))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -7/81 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))
(fma.f64 2/9 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)) x) (fma.f64 -7/81 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)) (*.f64 x x)) (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9))))
(+.f64 (exp.f64 (*.f64 2/9 (log.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 2/9 (log.f64 x))) x) (+.f64 2/9 (/.f64 -7/81 x))))
(+.f64 (*.f64 2/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 -1 (/.f64 (+.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))) (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (*.f64 -8/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2)))))))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) -112/2187) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) -7/81))))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (-.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) -7/81 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (/.f64 (pow.f64 x 3) -112/2187))))
(+.f64 (fma.f64 -7/81 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)) (*.f64 x x)) (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9))) (*.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2/9)) x) (-.f64 2/9 (/.f64 -112/2187 (*.f64 x x)))))
(+.f64 (exp.f64 (*.f64 2/9 (log.f64 x))) (*.f64 (/.f64 (exp.f64 (*.f64 2/9 (log.f64 x))) x) (+.f64 (/.f64 -7/81 x) (+.f64 2/9 (/.f64 (/.f64 112/2187 x) x)))))

localize44.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 x -1/3))
✓0.3b
(*.f64 x -1/3)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
544×add-log-exp_binary64
544×log1p-expm1-u_binary64
544×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11239
214739
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 x -1/3)
(+.f64 1 (*.f64 x -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x -1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/3 x))) (/.f64 (*.f64 1/9 (*.f64 x x)) (+.f64 1 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x))) (+.f64 1 (*.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/3 x)) (-.f64 1 (*.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/27 (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/27 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 x x)) (+.f64 1 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x))) (+.f64 1 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 -1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x)))) (neg.f64 (+.f64 1 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (cbrt.f64 (*.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) 1)))))

simplify14.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
06120
110102
212102
Stop Event
1×saturated
Counts
67 → 46
Calls
Call 1
Inputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (*.f64 -1/3 x))
Outputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(+.f64 (*.f64 -1/3 x) 1)
(fma.f64 -1/3 x 1)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓2.8b
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
3.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite102.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
597×fma-def_binary64
407×log-prod_binary64
362×fma-neg_binary64
297×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
121211
2318411
Stop Event
1×node limit
Counts
1 → 153
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 1 x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (-.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 x) x) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.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 fma.f64 (-.f64 (+.f64 1 x) x) (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (*.f64 2/3 (log1p.f64 x))))) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3)) (/.f64 1 (fma.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) (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 fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) 2) (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x)))) (neg.f64 (+.f64 (cbrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (sqrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1)) (sqrt.f64 (+.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (neg.f64 (+.f64 (cbrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 1) (-.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (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 fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 x 1/6)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 1 x)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
1×saturated
Counts
156 → 157
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

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x -1))
0.6b
(cbrt.f64 x)
13.7b
(cbrt.f64 (fma.f64 x x -1))
✓29.0b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
Compiler

Compiled 46 to 29 computations (37% saved)

series4.0ms (0%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
1.0ms
x
@-inf
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
1.0ms
x
@inf
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))

rewrite55.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
994×pow1_binary64
923×add-log-exp_binary64
921×log1p-expm1-u_binary64
921×expm1-log1p-u_binary64
113×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01223
123720
2283620
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 0) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) (pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) 2) (cbrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) (sqrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 3) x) (+.f64 (*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) (-.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))))))))))

simplify156.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
995×sqr-pow_binary64
733×cube-prod_binary64
730×fabs-mul_binary64
450×unswap-sqr_binary64
359×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
13423
26423
312823
430723
592723
6137823
7212123
8229123
9251723
10279023
11318723
12372823
13439023
14520923
15581723
16624623
17662923
18685123
19696323
20780623
Stop Event
1×node limit
Counts
26 → 27
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) x)) (pow.f64 (cbrt.f64 -1) 2))
Outputs
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) x)) (pow.f64 (cbrt.f64 -1) 2))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (cbrt.f64 -1)) x) (pow.f64 (cbrt.f64 -1) 2))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x)
✓0.3b
(cbrt.f64 (exp.f64 (log.f64 x)))
✓2.4b
(/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))
✓2.9b
(exp.f64 (log.f64 x))
Compiler

Compiled 58 to 15 computations (74.1% saved)

series5.0ms (0%)

Counts
4 → 12
Calls

12 calls:

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

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
734×pow1_binary64
688×add-log-exp_binary64
688×log1p-expm1-u_binary64
688×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
115719
2202319
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(exp.f64 (log.f64 x))
(/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))
(cbrt.f64 (exp.f64 (log.f64 x)))
(/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 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 x)) (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cbrt.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))) (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 x 4))) (cbrt.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/6) x) (/.f64 (pow.f64 x 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/6) 1) (/.f64 (pow.f64 x 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) x) (/.f64 (cbrt.f64 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 x 1/6) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 x (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 1 x)))))) (#(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 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/6) 1) (/.f64 (pow.f64 x 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/6) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))))))))

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
130 → 119
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

eval648.0ms (6.5%)

Compiler

Compiled 20452 to 13942 computations (31.8% saved)

prune257.0ms (2.6%)

Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New8029811
Fresh42125
Picked101
Done077
Total80737844
Error
0.1b
Counts
844 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
31.1b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
33.6b
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 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)))
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)))))
49.0b
(fma.f64 1/3 (*.f64 (/.f64 1 x) (cbrt.f64 x)) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
46.1b
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
45.6b
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
32.0b
1
✓0.6b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.6b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
✓29.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
31.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
7.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
61.0b
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
19.8b
(/.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)))))
2.2b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
33.1b
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
33.0b
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
49.0b
(fma.f64 1/3 (/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
49.0b
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
✓29.7b
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
13.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
33.4b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
49.1b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
49.9b
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
61.7b
0
13.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
13.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
56.0b
(fma.f64 1/3 (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
29.1b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
✓29.2b
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
✓33.2b
(+.f64 1 (*.f64 1/3 x))
17.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
49.1b
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
✓33.1b
(+.f64 1 (*.f64 x -1/3))
13.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
Compiler

Compiled 615 to 473 computations (23.1% saved)

regimes153.0ms (1.5%)

Counts
76 → 1
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(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 (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)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(fma.f64 1/3 (*.f64 (/.f64 1 x) (cbrt.f64 x)) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x 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 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(fma.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(fma.f64 1/3 (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(/.f64 1 (+.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
(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 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)) 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) (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.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 (/.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 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(+.f64 (-.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 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
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:

62.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 1102 to 732 computations (33.6% saved)

regimes138.0ms (1.4%)

Counts
50 → 2
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(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 (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)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(fma.f64 1/3 (*.f64 (/.f64 1 x) (cbrt.f64 x)) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
Calls

3 calls:

82.0ms
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
7.2b2x
13.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
13.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 522 to 360 computations (31% saved)

bsearch62.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
62.0ms
9.346374982514411e-7
17085766139.892492
Compiler

Compiled 12 to 9 computations (25% saved)

regimes308.0ms (3.1%)

Counts
49 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(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 (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)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
(fma.f64 1/3 (*.f64 (/.f64 1 x) (cbrt.f64 x)) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
Outputs
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))
Calls

3 calls:

240.0ms
x
19.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
18.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
7.2b3x
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 503 to 347 computations (31% saved)

bsearch83.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
9.346374982514411e-7
17085766139.892492
30.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes390.0ms (3.9%)

Counts
47 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(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 (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)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 x)))
Outputs
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))
Calls

3 calls:

184.0ms
x
162.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.1b3x
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 469 to 335 computations (28.6% saved)

bsearch61.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
9.346374982514411e-7
17085766139.892492
32.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes195.0ms (2%)

Counts
45 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(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 (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)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (cbrt.f64 x))) (exp.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
Outputs
(fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

109.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.3b3x
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
13.9b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 441 to 318 computations (27.9% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
9.346374982514411e-7
17085766139.892492
17.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes119.0ms (1.2%)

Counts
39 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
Outputs
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
Calls

3 calls:

75.0ms
x
23.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
8.4b3x
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 353 to 251 computations (28.9% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
9.346374982514411e-7
17085766139.892492
16.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes112.0ms (1.1%)

Counts
35 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
(*.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 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (+.f64 (cbrt.f64 x) (*.f64 (/.f64 (cbrt.f64 x) x) (+.f64 1/3 (+.f64 (/.f64 5/81 (*.f64 x x)) (/.f64 -1/9 x))))) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
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:

85.0ms
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
8.4b3x
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 307 to 219 computations (28.7% saved)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
9.346374982514411e-7
17085766139.892492
18.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes51.0ms (0.5%)

Counts
20 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)
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:

27.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
14.2b3x
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.2b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 154 to 116 computations (24.7% saved)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
9.346374982514411e-7
17085766139.892492
16.0ms
-3764496675.277617
-45058.41781751138
Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 1 (*.f64 -1/3 x))))
Outputs
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(+.f64 1 (*.f64 1/3 x))
(*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))
Calls

1 calls:

44.0ms
x
Results
ErrorSegmentsBranch
17.0b3x
Compiler

Compiled 87 to 67 computations (23% saved)

bsearch66.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
9.346374982514411e-7
17085766139.892492
34.0ms
-73.91254236331184
-1.1429382063088882
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.3%)

Accuracy

Total -30.7b remaining (-95.9%)

Threshold costs -30.7b (-95.9%)

Counts
10 → 1
Calls
Call 1
Inputs
1
1
0
1
1
0
(+.f64 1 (*.f64 x -1/3))
(+.f64 1 (*.f64 1/3 x))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) 1) (-.f64 (*.f64 x -1/3) 1))
(-.f64 (+.f64 1 (fma.f64 x -1/3 1)) 1)
Outputs
1
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
32.0b1x
Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify49.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07017179869410
18617179869410
29017179869410
39217179869410
49317179869410
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -1300283196271161/17592186044416) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 1 (*.f64 1/3 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) 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)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))))
(if (<=.f64 x 2206850397687871/2361183241434822606848) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))))
(if (<=.f64 x -7894721731551805/2097152) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 x) x) (*.f64 -1/9 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x))))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))))
(if (<=.f64 x -7894721731551805/2097152) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3) 1/3) (fma.f64 1/3 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (*.f64 -1/9 (pow.f64 x -5/3)))))
(if (<=.f64 x -16168390106218096640/4294967296) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9)) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -7894721731551805/2097152) (fma.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3) 1/3) (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (/.f64 1/3 x))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -7894721731551805/2097152) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3) 1/3) (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (/.f64 1/3 x))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))))
(if (<=.f64 x -7894721731551805/2097152) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (/.f64 1/3 x))))
(if (<=.f64 x -16168390106218096640/4294967296) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -7894721731551805/2097152) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -1300283196271161/17592186044416) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 1 (*.f64 1/3 x)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
(if (<=.f64 x -1300283196271161/17592186044416) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x))) (if (<=.f64 x 2206850397687871/2361183241434822606848) (+.f64 1 (*.f64 x 1/3)) (*.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 x) x)))))
1
Compiler

Compiled 337 to 257 computations (23.7% saved)

soundness0.0ms (0%)

end238.0ms (2.4%)

Compiler

Compiled 328 to 223 computations (32% saved)

Profiling

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