Details

Time bar (total: 9.7s)

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)

sample1.5s (15.6%)

Results
643.0ms2064×body1024valid
533.0ms4902×body256valid
234.0ms1047×body512valid
87.0ms243×body2048valid

preprocess20.0ms (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
30.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(cbrt.f64 (+.f64 x 1))
✓0.5b
(cbrt.f64 x)
✓3.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series9.0ms (0.1%)

Counts
3 → 7
Calls

9 calls:

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

rewrite96.0ms (1%)

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))))))

simplify86.0ms (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)

eval23.0ms (0.2%)

Compiler

Compiled 1035 to 690 computations (33.3% saved)

prune59.0ms (0.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New552681
Fresh000
Picked011
Done000
Total552782
Error
28.6b
Counts
82 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
48.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
30.5b
(/.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))))))
30.8b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
32.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
32.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
▶29.2b
(/.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)))))
31.3b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
47.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
30.5b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
31.4b
(-.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))
30.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
▶30.5b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
61.6b
0
▶30.8b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
▶33.8b
(+.f64 1 (*.f64 1/3 x))
32.2b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
▶30.6b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
32.7b
1
30.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
30.5b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
✓30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
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)))
30.8b
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
47.9b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
31.8b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
Compiler

Compiled 686 to 518 computations (24.5% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
✓0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
✓2.4b
(-.f64 (+.f64 x 1) x)
Compiler

Compiled 81 to 52 computations (35.8% saved)

series6.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite83.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
543×fma-def_binary64
456×log-prod_binary64
391×pow-prod-down_binary64
281×fma-neg_binary64
253×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120323
2299523
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) x)
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
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 exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (-.f64 x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (-.f64 1 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (-.f64 1 x)) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) (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 (cbrt.f64 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(*.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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 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 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 x 1))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 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((x fma.f64 (*.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)) 1) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 5/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 5/6) (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.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 x) (cbrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (exp.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 x 1)) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 1/6) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (sqrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.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 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.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 fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
1412
Stop Event
1×saturated
Counts
198 → 187
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite61.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
0.5b
(cbrt.f64 x)
✓2.9b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
3.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite64.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify15.0ms (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
44 → 45
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
0

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.2b
(cbrt.f64 (+.f64 x 1))
0.5b
(cbrt.f64 x)
3.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series23.0ms (0.2%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
7.0ms
x
@-inf
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
1.0ms
x
@0
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
843×pow1_binary64
787×log1p-expm1-u_binary64
787×expm1-log1p-u_binary64
786×add-log-exp_binary64
765×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
116613
2216113
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (pow.f64 (cbrt.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 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/6) (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (+.f64 x 1) x)) (cbrt.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 pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))))

simplify13.0ms (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
068
1106
2126
Stop Event
1×saturated
Counts
22 → 23
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/9 x))
Outputs
1
(+.f64 1 (*.f64 1/9 x))
(fma.f64 1/9 x 1)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
✓0.3b
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.5b
(cbrt.f64 x)
✓21.6b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
Compiler

Compiled 54 to 42 computations (22.2% saved)

series8.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
2.0ms
x
@inf
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
2.0ms
x
@-inf
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
1.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
1.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite84.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
902×add-log-exp_binary64
902×log1p-expm1-u_binary64
902×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
123519
2260919
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x 1) x) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (-.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 x 1) x)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))) (-.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/3) 1/3))))))

simplify86.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
543×fma-def_binary64
309×times-frac_binary64
282×unswap-sqr_binary64
281×distribute-rgt-out_binary64
244×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059456
1158433
2389399
31123322
44232247
56451247
Stop Event
1×node limit
Counts
74 → 84
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
0
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)
0
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 -4/81 (*.f64 x x) (fma.f64 x 1/9 1))
(fma.f64 x (*.f64 x -4/81) (fma.f64 x 1/9 1))
(fma.f64 x (fma.f64 x -4/81 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 68/2187 (pow.f64 x 3) (fma.f64 -4/81 (*.f64 x x) (fma.f64 x 1/9 1)))
(fma.f64 x (*.f64 x -4/81) (fma.f64 68/2187 (pow.f64 x 3) (fma.f64 x 1/9 1)))
(fma.f64 x 1/9 (fma.f64 x (*.f64 x (fma.f64 x 68/2187 -4/81)) 1))
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))
(+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))))
(fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))
(fma.f64 1/9 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/36) 4) (pow.f64 (pow.f64 x 1/36) 4))
(+.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 -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 1/9 (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)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))))
(fma.f64 1/9 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/36) 4) (fma.f64 -4/81 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/36) 4) (pow.f64 (pow.f64 x 1/36) 4)))
(+.f64 (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9)) (+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)) (*.f64 -4/81 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (+.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 -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 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)))))
(fma.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))))
(fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (fma.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18) (*.f64 68/2187 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18))))))
(fma.f64 1/9 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/36) 4) (fma.f64 -4/81 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/36) 4) (fma.f64 68/2187 (pow.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/36) 4) (pow.f64 (pow.f64 x 1/36) 4))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(pow.f64 (pow.f64 x 1/36) 4)
(+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (+.f64 (/.f64 1/9 x) 1) (pow.f64 (exp.f64 1/9) (log.f64 x)))
(*.f64 (+.f64 1 (/.f64 1/9 x)) (pow.f64 (pow.f64 x 1/36) 4))
(+.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))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 1/9 (/.f64 -4/81 x)) (pow.f64 (exp.f64 1/9) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (+.f64 (+.f64 1 (/.f64 1/9 x)) (/.f64 -4/81 (*.f64 x x))))
(+.f64 (*.f64 -4/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (*.f64 68/2187 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 1/9 (/.f64 -4/81 x))))
(+.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (log.f64 x)) x) (+.f64 (/.f64 -4/81 x) (+.f64 1/9 (/.f64 68/2187 (*.f64 x x))))))
(+.f64 (pow.f64 (pow.f64 x 1/36) 4) (*.f64 (/.f64 (pow.f64 (pow.f64 x 1/36) 4) x) (+.f64 1/9 (+.f64 (/.f64 68/2187 (*.f64 x x)) (/.f64 -4/81 x)))))

eval854.0ms (8.8%)

Compiler

Compiled 16097 to 11336 computations (29.6% saved)

prune259.0ms (2.7%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New72712739
Fresh91221
Picked101
Done145
Total73828766
Error
0.4b
Counts
766 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
48.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
30.8b
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
32.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
31.3b
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
▶47.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
▶30.6b
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
31.4b
(-.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))
47.9b
(*.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)))
✓30.5b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
30.5b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
32.2b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
29.2b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
✓30.6b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
32.7b
1
33.8b
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
✓30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
▶0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
31.8b
(-.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
31.3b
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
61.6b
0
32.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
▶34.4b
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
▶48.4b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
✓33.8b
(+.f64 1 (*.f64 1/3 x))
30.5b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
Compiler

Compiled 615 to 484 computations (21.3% saved)

localize59.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
0.2b
(cbrt.f64 (+.f64 x 1))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
Compiler

Compiled 72 to 47 computations (34.7% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite45.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
585×pow1_binary64
549×add-log-exp_binary64
549×log1p-expm1-u_binary64
549×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11459
216209
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3)))))))

simplify85.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01939
15037
210837
329931
476028
5234428
6398128
7420928
8450828
9504728
10604428
Stop Event
1×node limit
Counts
20 → 23
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
✓0.4b
(*.f64 1/9 x)
Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
1.0ms
x
@0
(*.f64 1/9 x)
0.0ms
x
@-inf
(*.f64 1/9 x)
0.0ms
x
@inf
(*.f64 1/9 x)
0.0ms
x
@-inf
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
733×pow1_binary64
692×add-log-exp_binary64
691×log1p-expm1-u_binary64
691×expm1-log1p-u_binary64
679×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
117212
2190212
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(*.f64 1/9 x)
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/9 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (*.f64 (*.f64 1/9 x) (pow.f64 (fma.f64 1/9 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/9 x) (pow.f64 (fma.f64 1/9 x 1) 2)) (pow.f64 (fma.f64 1/9 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (*.f64 1/9 x)) (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) 1) (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (*.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 1/9 x 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 1/9 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/9 x 1) (pow.f64 (fma.f64 1/9 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/9 x 1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (fma.f64 1/9 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/9 x 1)) (pow.f64 (fma.f64 1/9 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/9 x 1)) (*.f64 (sqrt.f64 (fma.f64 1/9 x 1)) (pow.f64 (fma.f64 1/9 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/9 x 1) 3/2) (pow.f64 (fma.f64 1/9 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 x 1)) 2) 3) (fma.f64 1/9 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/9 x 1)) 3) (pow.f64 (sqrt.f64 (fma.f64 1/9 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) 1) (fma.f64 1/9 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (pow.f64 (cbrt.f64 (fma.f64 1/9 x 1)) 2)) (cbrt.f64 (fma.f64 1/9 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (sqrt.f64 (fma.f64 1/9 x 1))) (sqrt.f64 (fma.f64 1/9 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (*.f64 1/729 (pow.f64 x 3))) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 1/9 x) 2) (*.f64 1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 1/9 x) 2)) 3) (pow.f64 (+.f64 1 (*.f64 -1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 1/729 (pow.f64 x 3))) (pow.f64 (fma.f64 1/9 x 1) 2)) (+.f64 1 (-.f64 (pow.f64 (*.f64 1/9 x) 2) (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/9 x) 2)) (pow.f64 (fma.f64 1/9 x 1) 2)) (+.f64 1 (*.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (+.f64 1 (*.f64 1/729 (pow.f64 x 3)))) (+.f64 1 (-.f64 (pow.f64 (*.f64 1/9 x) 2) (*.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 1/9 x 1) 2) (-.f64 1 (pow.f64 (*.f64 1/9 x) 2))) (+.f64 1 (*.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/9 x 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 1/9 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/9 x 1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/9 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/9 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (*.f64 1/9 x))))))))

simplify95.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
021163
159153
2129149
3359127
4792114
52395114
64026114
74254114
84553114
95092114
106089114
Stop Event
1×node limit
Counts
52 → 53
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))))
(*.f64 1/729 (pow.f64 x 3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (*.f64 1/729 (pow.f64 x 3)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (*.f64 1/3 x)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 1 (*.f64 1/3 x))))
(*.f64 1/729 (pow.f64 x 3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (*.f64 1/729 (pow.f64 x 3)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (*.f64 1/3 x)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 1 (*.f64 1/3 x))))
Outputs
1
(+.f64 1 (*.f64 1/3 x))
(fma.f64 1/3 x 1)
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 1/27 (*.f64 x x) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/3 x 1))
(fma.f64 1/3 x (fma.f64 x (*.f64 x 1/27) 1))
(fma.f64 x (fma.f64 x 1/27 1/3) 1)
(+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (fma.f64 1/3 x 1)))
(fma.f64 x (*.f64 x 1/27) (fma.f64 1/3 x (fma.f64 1/729 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x (fma.f64 x 1/729 1/27)) (fma.f64 1/3 x 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/729 1/27) 1/3) 1)
(*.f64 1/729 (pow.f64 x 3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (*.f64 1/729 (pow.f64 x 3)))
(fma.f64 1/27 (*.f64 x x) (*.f64 1/729 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 1/27 (*.f64 x 1/729)))
(*.f64 x (*.f64 x (fma.f64 x 1/729 1/27)))
(*.f64 (*.f64 x x) (fma.f64 x 1/729 1/27))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (*.f64 1/3 x)))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (*.f64 1/3 x)))
(fma.f64 1/3 x (*.f64 (*.f64 x x) (+.f64 1/27 (*.f64 x 1/729))))
(*.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 1/729 1/27))))
(*.f64 x (fma.f64 x (fma.f64 x 1/729 1/27) 1/3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (fma.f64 1/3 x 1)))
(fma.f64 x (*.f64 x 1/27) (fma.f64 1/3 x (fma.f64 1/729 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x (fma.f64 x 1/729 1/27)) (fma.f64 1/3 x 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/729 1/27) 1/3) 1)
(*.f64 1/729 (pow.f64 x 3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (*.f64 1/729 (pow.f64 x 3)))
(fma.f64 1/27 (*.f64 x x) (*.f64 1/729 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 1/27 (*.f64 x 1/729)))
(*.f64 x (*.f64 x (fma.f64 x 1/729 1/27)))
(*.f64 (*.f64 x x) (fma.f64 x 1/729 1/27))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (*.f64 1/3 x)))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (*.f64 1/3 x)))
(fma.f64 1/3 x (*.f64 (*.f64 x x) (+.f64 1/27 (*.f64 x 1/729))))
(*.f64 x (+.f64 1/3 (*.f64 x (fma.f64 x 1/729 1/27))))
(*.f64 x (fma.f64 x (fma.f64 x 1/729 1/27) 1/3))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 (*.f64 1/729 (pow.f64 x 3)) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (+.f64 1 (*.f64 1/3 x))))
(fma.f64 1/27 (*.f64 x x) (fma.f64 1/729 (pow.f64 x 3) (fma.f64 1/3 x 1)))
(fma.f64 x (*.f64 x 1/27) (fma.f64 1/3 x (fma.f64 1/729 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x (fma.f64 x 1/729 1/27)) (fma.f64 1/3 x 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/729 1/27) 1/3) 1)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
✓0.2b
(pow.f64 (pow.f64 x 1/6) 2)
✓2.1b
(pow.f64 x 1/6)
✓16.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series132.0ms (1.3%)

Counts
3 → 22
Calls

9 calls:

TimeVariablePointExpression
60.0ms
x
@0
(pow.f64 x 1/6)
51.0ms
x
@-inf
(pow.f64 x 1/6)
12.0ms
x
@inf
(pow.f64 x 1/6)
3.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
1.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))

rewrite138.0ms (1.4%)

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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 x 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/18) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/12) (pow.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 x 1/18) 4)) (pow.f64 x 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/12 (log.f64 x)) 2))))))
((#(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))))))

simplify83.0ms (0.9%)

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)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
✓2.6b
(pow.f64 x 1/3)
✓4.6b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
✓16.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
Compiler

Compiled 41 to 31 computations (24.4% saved)

series11.0ms (0.1%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
2.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
2.0ms
x
@-inf
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
2.0ms
x
@inf
(log.f64 (exp.f64 (-.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))

rewrite124.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

localize94.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
0.5b
(cbrt.f64 x)
✓0.9b
(-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1)
3.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 64 to 45 computations (29.7% saved)

series6.0ms (0.1%)

Counts
1 → 2
Calls

3 calls:

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

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
569×fma-def_binary64
437×log-prod_binary64
322×pow-prod-down_binary64
310×fma-neg_binary64
258×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
122713
2328813
Stop Event
1×node limit
Counts
1 → 72
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 1/6) (pow.f64 (-.f64 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 2) (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 2)) (-.f64 1 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 2) (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 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(+.f64 1 x)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 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simplify12.0ms (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
068
1106
2126
Stop Event
1×saturated
Counts
74 → 75
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/9 x))
Outputs
1
(+.f64 1 (*.f64 1/9 x))
(fma.f64 1/9 x 1)

eval1.3s (13.7%)

Compiler

Compiled 11946 to 8666 computations (27.5% saved)

prune297.0ms (3%)

Pruning

43 alts after pruning (35 fresh and 8 done)

PrunedKeptTotal
New61528643
Fresh12719
Picked011
Done178
Total62843671
Error
0.2b
Counts
671 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
30.6b
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
17.7b
(/.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 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
▶0.5b
(/.f64 1 (+.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
16.9b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
21.3b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
61.6b
0
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
16.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
33.9b
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
▶16.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓47.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓30.6b
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
47.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
▶26.6b
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓34.4b
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
32.7b
1
16.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
16.5b
(/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
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)))
47.9b
(*.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)))
✓30.5b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
30.5b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
▶16.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
16.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
1.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
✓30.6b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
32.2b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
17.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
✓30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
47.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
30.5b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
16.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
▶32.0b
(-.f64 1 (cbrt.f64 x))
22.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))))
31.4b
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
✓33.8b
(+.f64 1 (*.f64 1/3 x))
Compiler

Compiled 1409 to 1080 computations (23.3% saved)

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1) 2)
0.2b
(cbrt.f64 (+.f64 x 1))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
Compiler

Compiled 98 to 71 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
916×pow1_binary64
862×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
12069
227919
Stop Event
1×node limit
Counts
1 → 29
Calls
Call 1
Inputs
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (expm1.f64 (*.f64 (log1p.f64 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 (cbrt.f64 (+.f64 1 x)))) (*.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))) (*.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 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 (cbrt.f64 (+.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1)) (*.f64 (+.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1)) (*.f64 (+.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1)) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3)))))))

simplify90.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01939
15037
210837
329931
476028
5234428
6398128
7420928
8450828
9504728
10604428
Stop Event
1×node limit
Counts
33 → 36
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 4/81 -1/9) 2/3) 1)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (cbrt.f64 x))
0.5b
(cbrt.f64 x)
Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite50.0ms (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))))))))

simplify7.0ms (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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.2b
(cbrt.f64 (+.f64 x 1))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
Compiler

Compiled 55 to 33 computations (40% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
591×fma-def_binary64
497×log-prod_binary64
380×pow-prod-down_binary64
283×fma-neg_binary64
276×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
122520
2321920
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))) (cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -1/2) (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 3) 1)) (fma.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/6)) 4))) (-.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (hypot.f64 (cbrt.f64 x) (pow.f64 (*.f64 x (+.f64 1 x)) 1/6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))) 1))))))

simplify7.0ms (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
36 → 34
Calls
Call 1
Inputs
1
1
1
Outputs
1
1
1

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (+.f64 x 1))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
0.5b
(cbrt.f64 x)
✓17.1b
(cbrt.f64 (*.f64 x (+.f64 x 1)))
Compiler

Compiled 83 to 58 computations (30.1% saved)

series34.0ms (0.3%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@0
(cbrt.f64 (*.f64 x (+.f64 x 1)))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)
0.0ms
x
@-inf
(cbrt.f64 (*.f64 x (+.f64 x 1)))
0.0ms
x
@inf
(cbrt.f64 (*.f64 x (+.f64 x 1)))

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
762×pow1_binary64
711×add-log-exp_binary64
711×log1p-expm1-u_binary64
711×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
118513
2209013
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 x (+.f64 x 1)))
(pow.f64 (cbrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) 1/6) (pow.f64 (fma.f64 x x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 1/3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
38 → 38
Calls
Call 1
Inputs
Outputs

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (+.f64 x -1))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
✓16.8b
(cbrt.f64 (fma.f64 x x -1))
Compiler

Compiled 117 to 77 computations (34.2% saved)

series4.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite98.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
670×pow1_binary64
623×add-log-exp_binary64
623×log1p-expm1-u_binary64
623×expm1-log1p-u_binary64
608×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114013
2167413
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 x x -1))
(cbrt.f64 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) 1/6) (pow.f64 (+.f64 x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (*.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 (log.f64 (cbrt.f64 (+.f64 x -1))))))))

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
729×fma-def_binary64
717×associate-/r*_binary64
537×unswap-sqr_binary64
441×associate-*l/_binary64
337×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057251
1159238
2435231
31765211
46298211
Stop Event
1×node limit
Counts
46 → 51
Calls
Call 1
Inputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(cbrt.f64 -1)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1))))
Outputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (cbrt.f64 -1))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x)))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 -1) 5)) (pow.f64 x 4) (cbrt.f64 -1)))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 1/3 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x)))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
(fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 (/.f64 5/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6) (fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))))
(fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (*.f64 x (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))))
(cbrt.f64 -1)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1)))
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) x (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1)))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 x (*.f64 x -1/9)) (fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)))
(fma.f64 x (fma.f64 x (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -2/9)) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 3)) (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (cbrt.f64 -1))))
(fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 x (*.f64 x -1/9)) (fma.f64 -1/3 (*.f64 (pow.f64 x 3) (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))))
(fma.f64 x (fma.f64 x (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (/.f64 -5/81 (cbrt.f64 -1)) (pow.f64 x 3) (cbrt.f64 -1)))

eval447.0ms (4.6%)

Compiler

Compiled 14308 to 10271 computations (28.2% saved)

prune187.0ms (1.9%)

Pruning

55 alts after pruning (44 fresh and 11 done)

PrunedKeptTotal
New56321584
Fresh72330
Picked101
Done11112
Total57255627
Error
0.2b
Counts
627 → 55
Alt Table
Click to see full alt table
StatusErrorProgram
30.6b
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
42.4b
(/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
32.7b
1
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
40.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
17.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
22.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))))
0.5b
(/.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
26.6b
(/.f64 1 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
26.6b
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
21.3b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
61.6b
0
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
10.8b
(/.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
32.3b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
16.8b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
33.9b
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
✓47.8b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
16.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
✓30.6b
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
47.9b
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
26.6b
(/.f64 1 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
0.6b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓26.6b
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
✓34.4b
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
29.3b
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
29.3b
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
0.7b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
47.9b
(*.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)))
✓30.5b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
16.9b
(/.f64 1 (+.f64 (exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.5b
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
1.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
✓30.6b
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
0.6b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x)))))
16.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
32.2b
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
17.0b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
29.3b
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
✓30.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
16.8b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
✓0.5b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
16.9b
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
45.6b
(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
47.9b
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
16.8b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
26.6b
(/.f64 1 (+.f64 1 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
47.7b
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
30.5b
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
16.9b
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
✓32.0b
(-.f64 1 (cbrt.f64 x))
29.8b
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
✓33.8b
(+.f64 1 (*.f64 1/3 x))
Compiler

Compiled 997 to 775 computations (22.3% saved)

regimes191.0ms (2%)

Counts
88 → 1
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (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 (exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (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 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (-.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (*.f64 x (+.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) 2) (-.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 x) 2)))))))
(+.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))))
(/.f64 1 (+.f64 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.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))))))
(/.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 3) -1) (cbrt.f64 (+.f64 1 x))) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (+.f64 1 x))) 2) (+.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

74.0ms
x
17.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 1473 to 1024 computations (30.5% saved)

regimes171.0ms (1.8%)

Counts
51 → 3
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
(/.f64 1 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) (cbrt.f64 x))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Outputs
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

125.0ms
x
12.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
14.2b3x
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 572 to 404 computations (29.4% saved)

bsearch243.0ms (2.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
113.0ms
1.7875739492581274e+152
2.4287796830797426e+161
130.0ms
-1.2929836526227745e+158
-1.6483813518258848e+149
Compiler

Compiled 12 to 9 computations (25% saved)

regimes348.0ms (3.6%)

Counts
45 → 3
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
Outputs
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))
Calls

3 calls:

297.0ms
x
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
11.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
14.2b3x
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 470 to 337 computations (28.3% saved)

bsearch190.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
107.0ms
1.7875739492581274e+152
2.4287796830797426e+161
83.0ms
-1.2929836526227745e+158
-1.6483813518258848e+149
Compiler

Compiled 12 to 9 computations (25% saved)

regimes119.0ms (1.2%)

Counts
44 → 3
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
Outputs
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

90.0ms
x
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
14.2b3x
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 454 to 326 computations (28.2% saved)

bsearch127.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
1.7875739492581274e+152
2.4287796830797426e+161
67.0ms
-1.2929836526227745e+158
-1.6483813518258848e+149
Compiler

Compiled 12 to 9 computations (25% saved)

regimes93.0ms (1%)

Counts
43 → 3
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

66.0ms
x
7.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
14.2b3x
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
16.8b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 441 to 318 computations (27.9% saved)

bsearch115.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
1.7875739492581274e+152
2.4287796830797426e+161
57.0ms
-1.2929836526227745e+158
-1.6483813518258848e+149
Compiler

Compiled 12 to 9 computations (25% saved)

regimes48.0ms (0.5%)

Counts
41 → 1
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (expm1.f64 (log1p.f64 (cbrt.f64 x))))
(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 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))))
(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
(-.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(pow.f64 (+.f64 (+.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) -1) 1) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) 1) 3)
(/.f64 1 (+.f64 1 (fma.f64 (cbrt.f64 x) (cbrt.f64 x) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)) (-.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 x 1/6)))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Calls

3 calls:

21.0ms
x
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
26.6b1x
26.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
26.6b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 411 to 298 computations (27.5% saved)

regimes21.0ms (0.2%)

Counts
19 → 1
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 x 1/3))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (*.f64 (log.f64 x) 1/3)))
(-.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (pow.f64 x 1/6) 2))
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/12)))
Outputs
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Calls

2 calls:

12.0ms
x
4.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Results
ErrorSegmentsBranch
30.5b1x
30.5b1(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 133 to 101 computations (24.1% saved)

regimes9.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
1
1
0
0
1
(+.f64 1 (*.f64 1/3 x))
(-.f64 1 (cbrt.f64 x))
(pow.f64 (+.f64 1 (*.f64 1/9 x)) 3)
(+.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1/9)))
(+.f64 (*.f64 1/27 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
Outputs
(-.f64 1 (cbrt.f64 x))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
32.0b1x
Compiler

Compiled 43 to 35 computations (18.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -29.6b remaining (-90.5%)

Threshold costs -29.6b (-90.5%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
32.7b1x
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify19.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053426
175426
281426
384426
485426
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 -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.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 -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (log.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 1 x)))))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (exp.f64 (log.f64 (cbrt.f64 x))))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 1 x)))))) (/.f64 1 (+.f64 1 (exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 1 x)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x 1)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))))
(if (<=.f64 x -129298365262277451059101935181528256728060332699999965421170444081942743095544474559681329744573016320024386960149461566035965404500018650097658749632194281472) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))) (if (<=.f64 x 178757394925812735115407535488627594478124549302518697780074424571441400478073380121314514918313311582354038365660456718679307934850431088224454943178752) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 1 x)))))) (/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
(-.f64 1 (cbrt.f64 x))
1
Compiler

Compiled 279 to 203 computations (27.2% saved)

soundness0.0ms (0%)

end155.0ms (1.6%)

Compiler

Compiled 271 to 182 computations (32.8% saved)

Profiling

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