Details

Time bar (total: 9.2s)

analyze3.0ms (0%)

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 (14.5%)

Results
539.0ms2056×body1024valid
507.0ms4960×body256valid
199.0ms1033×body512valid
72.0ms207×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)

simplify12.0ms (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
30.7b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (+.f64 x 1))
✓0.6b
(cbrt.f64 x)
✓2.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series19.0ms (0.2%)

Counts
3 → 7
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(cbrt.f64 x)
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)

rewrite72.0ms (0.8%)

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))))))

simplify84.0ms (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)

eval46.0ms (0.5%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune37.0ms (0.4%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New592281
Fresh000
Picked011
Done000
Total592382
Error
29.3b
Counts
82 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
30.9b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
31.5b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
▶45.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
▶30.0b
(/.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)))))
31.7b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
30.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
30.7b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
30.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
▶45.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
▶45.2b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
30.7b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.7b
0
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
33.1b
1
31.0b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
31.6b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
30.8b
(+.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)))
31.8b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
▶31.6b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
30.7b
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
Compiler

Compiled 598 to 446 computations (25.4% saved)

localize97.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
✓0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
✓1.9b
(-.f64 (+.f64 x 1) x)
Compiler

Compiled 81 to 52 computations (35.8% saved)

series15.0ms (0.2%)

Counts
3 → 16
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
3.0ms
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
@0
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)

rewrite136.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
124732
2339731
Stop Event
1×node limit
Counts
3 → 198
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) x)
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (+.f64 x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2)) (-.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4) (*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 1 x))) (fma.f64 (neg.f64 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(sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (neg.f64 x) x))))) 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simplify103.0ms (1.1%)

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
214 → 205
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
✓2.7b
(pow.f64 x 1/3)
✓15.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series41.0ms (0.4%)

Counts
2 → 4
Calls

6 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
1.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
1.0ms
x
@0
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
1.0ms
x
@0
(pow.f64 x 1/3)
1.0ms
x
@-inf
(pow.f64 x 1/3)

rewrite79.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify7.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
✓0.3b
(pow.f64 (pow.f64 x 1/6) 2)
✓2.2b
(pow.f64 x 1/6)
✓15.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series131.0ms (1.4%)

Counts
3 → 22
Calls

9 calls:

TimeVariablePointExpression
80.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
20.0ms
x
@-inf
(pow.f64 x 1/6)
20.0ms
x
@0
(pow.f64 x 1/6)
6.0ms
x
@inf
(pow.f64 x 1/6)
1.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
727×prod-diff_binary64
389×log-prod_binary64
310×fma-def_binary64
268×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
122418
2274418
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(pow.f64 x 1/6)
(pow.f64 (pow.f64 x 1/6) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (+.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 -1 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 x 1/18) 4)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/12) (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 1/12)) (pow.f64 x 1/4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/18)) (pow.f64 (cbrt.f64 x) 5/6) (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/18)) (pow.f64 (cbrt.f64 x) 5/6) (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (neg.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/18)) (pow.f64 (cbrt.f64 x) 5/6) (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/18)) (pow.f64 (cbrt.f64 x) 5/6) (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/18)) (pow.f64 (cbrt.f64 x) 5/6) (*.f64 (pow.f64 x 1/18) (pow.f64 (cbrt.f64 x) 5/6))))))) (#(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 (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 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))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(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 (pow.f64 x 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/18) 4) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5/6) (pow.f64 x 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))))

simplify70.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
563×fma-def_binary64
390×div-sub_binary64
360×cancel-sign-sub-inv_binary64
346×fma-neg_binary64
325×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037177
1106169
2277155
3858129
43052113
57153113
Stop Event
1×node limit
Counts
171 → 164
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (pow.f64 x 1/3))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (pow.f64 x 1/3))
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3))
(*.f64 -1 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(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))))
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 x 1/3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
Outputs
(-.f64 1 (pow.f64 x 1/3))
(-.f64 1 (cbrt.f64 x))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 x 1/3)) (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 1) (cbrt.f64 x))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))) (pow.f64 x 1/3))
(-.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3))) (cbrt.f64 x))
(-.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x 1/3 (fma.f64 x (*.f64 x -1/9) 1)) (cbrt.f64 x))
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) 1) (cbrt.f64 x))
(-.f64 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x)))) (pow.f64 x 1/3))
(-.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3)))) (cbrt.f64 x))
(-.f64 (fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 x 1/3 (*.f64 5/81 (pow.f64 x 3))))) (cbrt.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 5/81 (pow.f64 x 3) 1))) (cbrt.f64 x))
(-.f64 (fma.f64 x (fma.f64 x -1/9 1/3) (fma.f64 5/81 (pow.f64 x 3) 1)) (cbrt.f64 x))
(-.f64 (fma.f64 5/81 (pow.f64 x 3) (fma.f64 x (fma.f64 x -1/9 1/3) 1)) (cbrt.f64 x))
(*.f64 -1 (pow.f64 (*.f64 1 x) 1/3))
(neg.f64 (cbrt.f64 x))
(*.f64 -1 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(neg.f64 (cbrt.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 (log.f64 x)) 1/6)
(pow.f64 x 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))
(pow.f64 (exp.f64 (log.f64 x)) 1/6)
(pow.f64 x 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))
(pow.f64 (exp.f64 (log.f64 x)) 1/6)
(pow.f64 x 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 -1 1/6))
(pow.f64 (exp.f64 (log.f64 x)) 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(cbrt.f64 x)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(cbrt.f64 x)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(cbrt.f64 x)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(cbrt.f64 x)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓1.1b
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
✓15.4b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
Compiler

Compiled 32 to 23 computations (28.1% saved)

series3.0ms (0%)

Counts
2 → 7
Calls

6 calls:

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

rewrite59.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
116917
2220517
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (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) (cbrt.f64 (*.f64 x x))) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x x)))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) (+.f64 1 (cbrt.f64 (+.f64 x 1)))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) (+.f64 1 (cbrt.f64 (+.f64 x 1)))) 1) (+.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))))

simplify85.0ms (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
65 → 66
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)

localize29.0ms (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)))
✓1.1b
(pow.f64 (+.f64 x 1) 1/6)
✓1.4b
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
2.2b
(pow.f64 x 1/6)
Compiler

Compiled 52 to 40 computations (23.1% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.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)))
1.0ms
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)))
1.0ms
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)))
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))
1.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6))

rewrite125.0ms (1.4%)

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
01048
122831
2317431
Stop Event
1×node limit
Counts
3 → 288
Calls
Call 1
Inputs
(-.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 (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (pow.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) 1 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 1/6))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (+.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 -1 (pow.f64 x 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) 1/6)) (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 1 1/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 1 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) 1 (neg.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 1 1/6)))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 1 1/6) (*.f64 (pow.f64 x 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 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simplify108.0ms (1.2%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01651636
15071501
215261249
36724973
Stop Event
1×node limit
Counts
324 → 356
Calls
Call 1
Inputs
(-.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
(-.f64 1 (pow.f64 x 1/6))
(-.f64 (+.f64 1 (*.f64 1/6 x)) (pow.f64 x 1/6))
(-.f64 (+.f64 1 (*.f64 x 1/6)) (pow.f64 x 1/6))
(-.f64 (fma.f64 x 1/6 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 (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x)))) (pow.f64 x 1/6))
(+.f64 (fma.f64 x 1/6 1) (-.f64 (*.f64 x (*.f64 x -5/72)) (pow.f64 x 1/6)))
(-.f64 (fma.f64 x 1/6 (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 x 1/6 (*.f64 x (*.f64 x -5/72))) (pow.f64 x 1/6)))
(-.f64 (fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 x (*.f64 x -5/72) 1))) (pow.f64 x 1/6))
(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))))
(+.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)))))
(*.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 1/6 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))))
(/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) (/.f64 x 1/6))
(+.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 (*.f64 -5/72 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))) (+.f64 1/6 (/.f64 -5/72 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) 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))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 55/1296 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))
(fma.f64 1/6 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))) x) (+.f64 -5/72 (/.f64 55/1296 x))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) x) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) (*.f64 x x)) (+.f64 -5/72 (/.f64 55/1296 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)))))
(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 -935/31104 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (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)))))
(fma.f64 -5/72 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -935/31104 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 55/1296 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))) (+.f64 (/.f64 55/1296 (*.f64 x x)) 1/6)) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 -1 x) -1/6) (/.f64 x (pow.f64 -1 1/6))) x) (+.f64 -5/72 (/.f64 -935/31104 (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) x) (+.f64 (/.f64 55/1296 (*.f64 x x)) 1/6)) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) 1/6) (*.f64 x x)) (+.f64 -5/72 (/.f64 -935/31104 (*.f64 x x)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x))))
(+.f64 (fma.f64 x 1/6 1) (*.f64 x (*.f64 x -5/72)))
(fma.f64 x 1/6 (fma.f64 x (*.f64 x -5/72) 1))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 -5/72 (*.f64 x x)))))
(+.f64 (fma.f64 x 1/6 (*.f64 x (*.f64 x -5/72))) (fma.f64 55/1296 (pow.f64 x 3) 1))
(fma.f64 55/1296 (pow.f64 x 3) (fma.f64 x 1/6 (fma.f64 x (*.f64 x -5/72) 1)))
(pow.f64 x 1/6)
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))
(fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6))
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (pow.f64 x 1/6) (fma.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (fma.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6) (pow.f64 x 1/6)))
(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) (pow.f64 x 1/6)))
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(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))))))
(fma.f64 25/5184 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (fma.f64 -935/15552 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (pow.f64 x 4)) (+.f64 (*.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) (*.f64 x x)) (+.f64 1/36 (/.f64 (/.f64 55/3888 x) x))) (fma.f64 (/.f64 (cbrt.f64 (exp.f64 (log.f64 x))) x) (+.f64 1/3 (/.f64 -5/36 x)) (/.f64 (*.f64 (cbrt.f64 (exp.f64 (log.f64 x))) 5/81) (pow.f64 x 3))))))

eval626.0ms (6.8%)

Compiler

Compiled 26673 to 18965 computations (28.9% saved)

prune149.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1052131065
Fresh16117
Picked101
Done415
Total1073151088
Error
0.4b
Counts
1088 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
30.0b
(/.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)))))
47.6b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
31.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
▶45.9b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
▶30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
▶32.2b
(-.f64 1 (cbrt.f64 x))
33.1b
1
44.6b
(/.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)) (pow.f64 x 1/3)))))
46.4b
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
▶47.4b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
▶0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
45.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
46.9b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
61.7b
0
Compiler

Compiled 332 to 260 computations (21.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 47 computations (34.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite43.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
✓0.3b
(*.f64 1/3 x)
2.7b
(pow.f64 x 1/3)
Compiler

Compiled 24 to 18 computations (25% saved)

series3.0ms (0%)

Counts
2 → 6
Calls

6 calls:

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

rewrite57.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
118314
2245714
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
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 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(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 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 1/3 x) (-.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (+.f64 1 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x 1) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x 1) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/3 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 (fma.f64 1/3 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 (fma.f64 1/3 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)) (fma.f64 1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) (sqrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) x) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (pow.f64 x 1/6)) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) x) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 3) x)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) (-.f64 (*.f64 1/3 x) (cbrt.f64 x))) (-.f64 (*.f64 1/3 x) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (fma.f64 1/3 x 1) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) (-.f64 (*.f64 1/3 x) (cbrt.f64 x)))) (-.f64 1 (-.f64 (*.f64 1/3 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (fma.f64 1/3 x 1) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 x 1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 x 1) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) (neg.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
0630
11024
21224
Stop Event
1×saturated
Counts
61 → 59
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1 (*.f64 1/3 x))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(*.f64 1/3 x)
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(*.f64 1/3 x)
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
✓0.6b
(/.f64 1 (pow.f64 x 2))
✓32.5b
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series4.0ms (0%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (pow.f64 x 2))
1.0ms
x
@0
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
1.0ms
x
@inf
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
1.0ms
x
@inf
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
0.0ms
x
@0
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
705×pow1_binary64
662×add-log-exp_binary64
662×log1p-expm1-u_binary64
662×expm1-log1p-u_binary64
645×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
119219
2197419
Stop Event
1×node limit
Counts
3 → 53
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(/.f64 1 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
Outputs
((#(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 1 (cbrt.f64 (pow.f64 x -2)))))) (#(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 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (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 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (cbrt.f64 (pow.f64 x -4)))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
53 → 53
Calls
Call 1
Inputs
Outputs

localize63.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
✓2.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
✓9.0b
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
Compiler

Compiled 33 to 22 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite90.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
609×fma-def_binary64
402×log-prod_binary64
341×fma-neg_binary64
317×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
121214
2332014
Stop Event
1×node limit
Counts
2 → 173
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
Outputs
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x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 1 x)))))))

simplify22.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079
1107
2127
Stop Event
1×saturated
Counts
176 → 177
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

eval334.0ms (3.6%)

Compiler

Compiled 9191 to 6321 computations (31.2% saved)

prune141.0ms (1.5%)

Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New52427551
Fresh369
Picked011
Done235
Total52937566
Error
0.1b
Counts
566 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.4b
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
54.4b
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
▶47.6b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
30.4b
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
45.9b
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
17.2b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
45.7b
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
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)))
54.4b
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
16.0b
(/.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)))))
16.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))))
46.4b
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
✓0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
60.3b
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
31.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
17.0b
(/.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)))))
17.2b
(/.f64 1 (+.f64 (pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
47.4b
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
✓32.2b
(-.f64 1 (cbrt.f64 x))
30.3b
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
32.0b
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
33.1b
1
45.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
46.6b
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
16.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
▶46.9b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 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)))))
32.0b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
61.7b
0
45.9b
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
46.6b
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
16.0b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
61.5b
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
▶30.3b
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
46.8b
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
Compiler

Compiled 927 to 743 computations (19.8% saved)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 97 to 70 computations (27.8% saved)

series17.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))
3.0ms
x
@inf
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
443×log-prod_binary64
410×fma-def_binary64
372×pow-prod-down_binary64
324×exp-prod_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
123930
2282130
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/18) (pow.f64 (cbrt.f64 (+.f64 x 1)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 5/6) (pow.f64 (+.f64 x 1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) 1) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (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 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log1p.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log1p.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log1p.f64 x)) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 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 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (+.f64 x 1)) (*.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 x) x)) (-.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (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 (+.f64 x 1)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (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 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(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 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 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(cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/6)) (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/18) (pow.f64 (+.f64 x 1) 1/18))))) (#(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 (E.f64) (*.f64 1/9 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3) 1/27)))) (#(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 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 1/3 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (log1p.f64 x))) 2)) (cbrt.f64 (*.f64 1/9 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/9 (log1p.f64 x)))) (sqrt.f64 (*.f64 1/9 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/9 (log1p.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1) 1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/9))))) (#(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 exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log1p.f64 x)) 1) 1))))))

simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
761×associate-+l+_binary64
510×associate-*l*_binary64
501×associate-*r*_binary64
487×fma-neg_binary64
326×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611376
15101198
217921104
36468912
Stop Event
1×node limit
Counts
156 → 177
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))))))))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 -8/729 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 136/2187 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9))))) (+.f64 (*.f64 -8/729 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))) (*.f64 68/2187 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))))))))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x))))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (+.f64 (*.f64 2/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (*.f64 -1/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/9 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -8/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)) (+.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 8/729 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 -136/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))) (*.f64 -68/2187 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))))) (pow.f64 x 3))))))))
1
(+.f64 1 (*.f64 1/9 x))
(+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x)))
(+.f64 (*.f64 68/2187 (pow.f64 x 3)) (+.f64 (*.f64 -4/81 (pow.f64 x 2)) (+.f64 1 (*.f64 1/9 x))))
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9)) (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) (fma.f64 1/3 x 1)) (*.f64 5/81 (pow.f64 x 3)))
(+.f64 (fma.f64 5/81 (pow.f64 x 3) (*.f64 1/3 x)) (fma.f64 -1/9 (*.f64 x x) 1))
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))))
(+.f64 (cbrt.f64 x) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x))))))
(+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/3))
(+.f64 (cbrt.f64 x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (+.f64 (*.f64 2/81 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9) (+.f64 (*.f64 1/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)) (*.f64 -8/81 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/9)))))))))
(+.f64 (cbrt.f64 x) (+.f64 (*.f64 1/9 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 -4/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 2/81 (cbrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) -7/81)))))))
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(+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (/.f64 -7/81 (*.f64 x x))) (-.f64 (fma.f64 2/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (*.f64 x x)) (/.f64 (*.f64 1/3 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)) x)) (-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) 7/729) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) 8/729 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) -20/243))) (pow.f64 x 3)) (fma.f64 -4/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) 3)))))
1
(+.f64 1 (*.f64 1/9 x))
(+.f64 1 (*.f64 x 1/9))
(fma.f64 x 1/9 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 x 1/9)))
(fma.f64 (*.f64 x x) -4/81 (fma.f64 x 1/9 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 x 1/9))))
(fma.f64 (pow.f64 x 3) 68/2187 (fma.f64 (*.f64 x x) -4/81 (fma.f64 x 1/9 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)))
(+.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 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) -4/81))))
(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)))))
(+.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 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) 68/2187 (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 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) -4/81)))))
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) 68/2187 (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))))))
(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)))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (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 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 1/9 (/.f64 -4/81 x))))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
✓0.6b
(/.f64 1 (*.f64 x x))
✓30.3b
(cbrt.f64 (/.f64 1 (*.f64 x x)))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
635×pow1_binary64
592×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
576×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
115919
2177219
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
Outputs
((#(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 1 (cbrt.f64 (pow.f64 x -2)))))) (#(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 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 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 (cbrt.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 1 (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 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) 1) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1/3)))))))

simplify153.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1118×associate-/r*_binary64
1082×sqr-pow_binary64
560×fabs-mul_binary64
560×cube-prod_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
21984
33484
47484
522084
681984
7202884
8219484
9237884
10258684
11288584
12327884
13375984
14432784
15501784
16585684
17625284
18654284
19681684
20689084
21692484
Stop Event
1×node limit
Counts
72 → 62
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))
✓0.4b
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

series5.0ms (0.1%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@-inf
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))
0.0ms
x
@0
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))

rewrite57.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118521
2191521
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) -4) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -4)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/6) -2) (pow.f64 (pow.f64 x 1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
Outputs

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 x))))
✓0.3b
(cbrt.f64 (exp.f64 (log.f64 x)))
✓0.4b
(/.f64 1/3 x)
✓3.1b
(exp.f64 (log.f64 x))
Compiler

Compiled 23 to 10 computations (56.5% saved)

series7.0ms (0.1%)

Counts
4 → 12
Calls

12 calls:

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

rewrite96.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
662×pow1_binary64
616×add-log-exp_binary64
616×log1p-expm1-u_binary64
616×expm1-log1p-u_binary64
602×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115417
2170717
Stop Event
1×node limit
Counts
4 → 83
Calls
Call 1
Inputs
(exp.f64 (log.f64 x))
(/.f64 1/3 x)
(cbrt.f64 (exp.f64 (log.f64 x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 (exp.f64 (log.f64 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) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (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 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (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 (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 (sqrt.f64 (log.f64 x))) (sqrt.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 sqrt.f64 (*.f64 x 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 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(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 x 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(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 (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 (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 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (cbrt.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (cbrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (cbrt.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (/.f64 1/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))))))

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
95 → 84
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

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
0.6b
(/.f64 1 (*.f64 x x))
✓21.4b
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
30.3b
(cbrt.f64 (/.f64 1 (*.f64 x x)))
Compiler

Compiled 58 to 41 computations (29.3% saved)

series6.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
1.0ms
x
@inf
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
1.0ms
x
@0
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
1.0ms
x
@-inf
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
1.0ms
x
@inf
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))

rewrite107.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
533×log-prod_binary64
319×pow2_binary64
308×pow-prod-down_binary64
237×pow-to-exp_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01427
129224
2324824
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 (pow.f64 x 5)))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -10)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5/6) (pow.f64 x -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 15) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -10) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -15) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -5/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -10) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -10/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5/2) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) -10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) -5))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -5/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -5/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 5 (log.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -5/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -5/6)) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)) 1) (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -5) -1/9 (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))))) (#(struct:change #<rule 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simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
79 → 79
Calls
Call 1
Inputs
Outputs

eval338.0ms (3.7%)

Compiler

Compiled 11218 to 8353 computations (25.5% saved)

prune136.0ms (1.5%)

Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New53135566
Fresh20828
Picked101
Done448
Total55647603
Error
0.0b
Counts
603 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
37.9b
(/.f64 (/.f64 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
✓46.4b
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
30.0b
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
30.2b
(*.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
30.3b
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
31.4b
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
47.8b
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
30.3b
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
30.0b
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
17.2b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.0b
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
47.8b
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 3)))
30.7b
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
37.6b
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
30.0b
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
30.4b
(*.f64 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
47.0b
(fma.f64 1/3 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
30.3b
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
31.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
✓30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
59.6b
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
30.3b
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
46.3b
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
46.8b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))
61.5b
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
48.1b
(*.f64 1/3 (pow.f64 x -2/3))
30.5b
(*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
47.8b
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
✓32.2b
(-.f64 1 (cbrt.f64 x))
32.0b
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
47.4b
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
33.1b
1
45.2b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
47.6b
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
30.1b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
47.8b
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
32.0b
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
61.7b
0
30.0b
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
56.4b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
46.7b
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
48.0b
(fma.f64 1/3 (pow.f64 (*.f64 x x) -1/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
16.0b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
46.7b
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
32.3b
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
Compiler

Compiled 480 to 378 computations (21.3% saved)

regimes168.0ms (1.8%)

Counts
98 → 1
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))
(fma.f64 1/3 (pow.f64 (*.f64 x x) -1/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 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 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
(*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 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)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
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:

84.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 1141 to 787 computations (31% saved)

regimes258.0ms (2.8%)

Counts
80 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))
(fma.f64 1/3 (pow.f64 (*.f64 x x) -1/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 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 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 (*.f64 1/3 (cbrt.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 (cbrt.f64 x) (/.f64 x 1/3))
Calls

3 calls:

183.0ms
x
15.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.3b3x
0.3b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.3b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 740 to 521 computations (29.6% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
39443295874996.02
3.414932310412255e+24
17.0ms
-7.17214385910263e+18
-2596132220435682000.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes308.0ms (3.4%)

Counts
79 → 2
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))
(fma.f64 1/3 (pow.f64 (*.f64 x x) -1/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 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 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

244.0ms
x
14.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
13.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
1.4b2x
0.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 721 to 508 computations (29.5% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.238949587597745e-7
4.0467439490043944e-5
Compiler

Compiled 12 to 9 computations (25% saved)

regimes410.0ms (4.5%)

Counts
78 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) -5) -1/9))
(fma.f64 1/3 (pow.f64 (*.f64 x x) -1/3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (/.f64 1 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 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 1/3 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))
Calls

3 calls:

232.0ms
x
15.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 703 to 497 computations (29.3% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
68715.65870822774
747582.6933135068
17.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes238.0ms (2.6%)

Counts
69 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(*.f64 1/3 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2)))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
Calls

3 calls:

181.0ms
x
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 567 to 405 computations (28.6% saved)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
747582.6933135068
26621684479.980762
19.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes196.0ms (2.1%)

Counts
64 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
Calls

3 calls:

147.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
14.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 518 to 374 computations (27.8% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
747582.6933135068
26621684479.980762
28.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes775.0ms (8.4%)

Counts
62 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(*.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (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 1/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/3 x) (pow.f64 (pow.f64 x 1/6) 2))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(-.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 (+.f64 1 (cbrt.f64 x)) 1))
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 x -4)) 1/9))
(*.f64 1/3 (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 1/3 (exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) -2)))
(*.f64 (/.f64 1/3 x) (exp.f64 (log.f64 (cbrt.f64 x))))
(*.f64 (/.f64 1/3 x) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))))
(*.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 (/.f64 1/3 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 2)
(*.f64 (/.f64 1/3 x) (cbrt.f64 (pow.f64 (sqrt.f64 x) 2)))
(pow.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (/.f64 1 x))) 2)
(*.f64 1/3 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (pow.f64 x -5/3) -1/9))
(*.f64 1/3 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2)))))
(*.f64 1/3 (log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 x -2))) 3))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
Calls

3 calls:

732.0ms
x
13.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.6b3x
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.6b2(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 500 to 362 computations (27.6% saved)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
747582.6933135068
26621684479.980762
19.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.5%)

Counts
26 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 1/3 x)) (cbrt.f64 x))
(*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))))
(*.f64 1/3 (/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) (pow.f64 x 1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 1/3 x) (cbrt.f64 x))) 1)
(*.f64 1/3 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) 1/3))
(*.f64 1/3 (pow.f64 (*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x)))) 1/3))
(*.f64 1/3 (pow.f64 (cbrt.f64 x) -2))
(/.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(*.f64 1/3 (cbrt.f64 (pow.f64 x -2)))
(/.f64 (/.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
Calls

1 calls:

42.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 168 to 112 computations (33.3% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
7.357464671497419e-7
68715.65870822774
18.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
(/.f64 1/3 (/.f64 x (cbrt.f64 x)))
(/.f64 1/3 (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1/3 x) (cbrt.f64 x))
(*.f64 (/.f64 1/3 x) (pow.f64 x 1/3))
(*.f64 1/3 (pow.f64 (*.f64 x x) -1/3))
(/.f64 1 (/.f64 x (*.f64 1/3 (cbrt.f64 x))))
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(-.f64 1 (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (/.f64 x 1/3))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 68 to 43 computations (36.8% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
7.357464671497419e-7
68715.65870822774
17.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
Outputs
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
(-.f64 1 (cbrt.f64 x))
(/.f64 (*.f64 1/3 (cbrt.f64 x)) x)
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch39.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
7.357464671497419e-7
68715.65870822774
21.0ms
-216712653.40025404
-0.0032733772091323274
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
Outputs
(-.f64 1 (cbrt.f64 x))
(*.f64 1/3 (pow.f64 x -2/3))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
17.6b2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
18.0ms
7.357464671497419e-7
68715.65870822774
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1
0
0
1
(-.f64 1 (cbrt.f64 x))
Outputs
(-.f64 1 (cbrt.f64 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
32.2b1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -28.6b remaining (-86.4%)

Threshold costs -28.6b (-86.4%)

Counts
4 → 1
Calls
Call 1
Inputs
1
0
0
1
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
33.1b1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify37.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0814294967747
11024294967747
21114294967747
31154294967747
41174294967747
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 -7172143859102629888) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 5048741871999491/128) (/.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 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 1180526027499743/17179869184) (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x)))
(if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (pow.f64 x -2/3)))
(-.f64 1 (cbrt.f64 x))
1
Outputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.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 -7172143859102629888) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 5048741871999491/128) (/.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 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7172143859102629888) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 5048741871999491/128) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (/.f64 1 (+.f64 (exp.f64 (*.f64 2/3 (log1p.f64 x))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))
(if (<=.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (/.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) (exp.f64 (*.f64 2/3 (log1p.f64 x))))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 1180526027499743/17179869184) (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 1180526027499743/17179869184) (-.f64 (cbrt.f64 (+.f64 1 x)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (+.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 5)) (*.f64 1/3 (pow.f64 (cbrt.f64 x) -2)))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 1 x)) (expm1.f64 (log1p.f64 (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6421686437674219/8589934592) (exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6421686437674219/8589934592) (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (-.f64 (*.f64 1/3 x) (cbrt.f64 x)) 1) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 1 (-.f64 (*.f64 x 1/3) (cbrt.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 x 1/3))))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 1/3 (cbrt.f64 x)) x)))
(if (<=.f64 x -7271669992058393/33554432) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) 1/3) x)))
(if (<=.f64 x 6948928912715387/9444732965739290427392) (-.f64 1 (cbrt.f64 x)) (*.f64 1/3 (pow.f64 x -2/3)))
(-.f64 1 (cbrt.f64 x))
1
Compiler

Compiled 320 to 218 computations (31.9% saved)

soundness184.0ms (2%)

Algorithm
2×egg-herbie
Rules
923×fma-def_binary64
923×fma-def_binary64
716×associate-+l+_binary64
716×associate-+l+_binary64
641×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651636
15071501
215261249
36724973
01651636
15071501
215261249
36724973
Stop Event
1×node limit
1×node limit
Compiler

Compiled 656 to 576 computations (12.2% saved)

end215.0ms (2.3%)

Compiler

Compiled 308 to 193 computations (37.3% saved)

Profiling

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